Persons: Popov Vladimir Leonidovich · Editor of the series "Invariant Theory and Algebraic...

RUS ENG JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PERSONAL OFFICE

Popov Vladimir Leonidovich Total publications: 158 (128)

in MathSciNet: 93 (78)

in zbMATH: 72 (60)

in Web of Science: 39 (36)

in Scopus: 35 (35)

Cited articles: 73

Citations in Math-Net.Ru: 332

Citations in MathSciNet (by Sep 2017): 1119

Citations in Web of Science: 298

Citations in Scopus: 169

Presentations: 87

Number of views:

This page: 15812

Abstract pages: 13305

Full texts: 3875

References: 849

Corresponding member of RAS

Professor

Doctor of physico-mathematical sciences(1984)

Speciality: 01.01.06 (Mathematical logic, algebra, andnumber theory)

Birth date: 3.09.1946

Phone: +7 (495) 941 01 79

Fax: +7 (495) 984 81 39

E-mail: [email protected], [email protected]

Website: http://researchgate.net/profile/Vladimir_Popov12

Keywords: Algebraic group, Lie group, Lie algebra,algebraic variety, action, representation,algebra, invariant, covariant, orbit,homogeneous space, automorphism group ofalgebraic variety, Cremona group, discretereflection group, lattice.

UDC: 512.7, 512.745, 512.745.4, 512.743, 512.747,512.76, 512.77, 512.71, 512.812, 512.813,512, 519.4

MSC: 14l30, 14l24, 14l35, 15a72, 14l40, 14l10, 14l15,14l17, 14m17, 14m20, 20G05, 15A72

Subject: Algebraic transformation groups; invariant theory; algebraic groups, Lie groups, Lie algebrasand their representations; algebraic geometry; automorphism groups of algebraic varieties;discrete reflection groups

Biography Graduated from Mathematics and Mechanics Faculty of Moscow State UniversityLomonosov (MSU) (Department of High Algebra) in 1969. PhD (Candidate of Physics andMathematics) (1972). Habilitation (Doctor of Physics and Mathematics) (1984). FullProfessor (1986). Chair of Algebra and Mathematical Logic at Moscow State UniversityMIEM (1995–2012; half-time since 2002). Since 2012 Professor at Department of AppliedMathematics of MIEM-HSE (part time). Since January 2002 Leading Research Fellow, andsince May 2017 Principal Research Fellow at the Steklov Mathematical Institute, RussianAcademy of Sciences (main place of work).

Executive Managing Editor of the journal "Transformation Groups" published by BirkhäuserBoston (1996–present). Member of the Editorial Boards of the journals: "Izvestiya:Mathematics" (2006–present) and "Mathematical Notes" (2003–present) published byRussian Academy of Sciences, "Journal of Mathematical Sciences" published by Springer(2001–present), "Geometriae Dedicata" published by Kluwer (1989–1999). Founder and TitleEditor of the series "Invariant Theory and Algebraic Transformation Groups" ofEncyclopaedia of Mathematical Sciences published by Springer (1998–present).

Invited speaker at the International Congress of Mathematicians, Berkeley, USA (1986). Theresults of 1982–1983 are the subject of J. Dixmier's talk at Séminaire N. Bourbaki (J.Dixmier, Quelques résults de finitude en théorie des invariants (d'après V. L. Popov),Séminaire Bourbaki, 38ème année 1985–86, no. 659, pp. 163–175).

Core member of the panel for Section 2, "Algebra" of the Program Committee for the 2010International Congress of Mathematicians (2008–2010).

Fellow of the American Mathematical Society (elected in November 2012), seehttp://www.ams.org/profession/fellows-list-institution

Corresponding Member of the Russian Academy of Sciences (elected in October 2016).

Invited plenary speaker at the XVth Austrian–German Mathematical Congress(Ősterreichische Mathematische Gesellschaft–XV Kongress, Jahrestagung der DeutschenMathematiker-vereinigung), Vienna, 2001.

Honorable International John-von-Neumann Professur awarded by Technische Universität

Persons: Popov Vladimir Leonidovich http://www.mathnet.ru/php/person.phtml?&personid=8935&option_la...

Стр. 1 из 21 13.08.2018, 9:13

München, Germany (2008). Invited Noted Scholar, Heidelberg University, Germany(1998–1999). Invited Noted Scholar, the University of British Columbia, Vancouver, Canada(1996).

Invited speaker at the international colloquia and conferences in Russia, France, UK, Italy,Germany, USA, Canada, Japan, Switzerland, Israel, Netherlands, Belgium, Spain, Norway,Sweden, India, Australia, Singapore, Hungary, Poland, Argentina, Uruguay, in particular, atColloque en l'honneur de J. Dixmier (Paris, 1989), at the International Conferencecommemorating 150th birthday of Sophus Lie (Oslo, 1992), at Special Sessions of theAnnual American Mathematical Society meetings in Chicago (1995) and Louisville, USA(1998), at the International Colloquium "Algebra, Arithmetic and Geometry" (Tata Institute,Bombay, 2000), at the International Conference commemorating 80th birthday of B. Kostant"(Vancouver, 2008).

Honorable Colligwood Lecture at Durham University, UK (2007).

Delivered courses "Invariant Theory", "Discrete Groups Generated by Complex Reflections","Algebraic Transformation Groups and Singularities of Algebraic Varieties", "AlgebraicGroups", "Algebraic Geometry" at the invitation of several leading mathematical centers inGermany (Heidelberg University, TUM), Switzerland (ETH Zürich), Netherlands (University ofUtrecht), USA (University of Michigan), Canada (UBC), Austria (The Erwin SchrödingerInstitute, Innsbruck University), Australia (Sydney University), Sweden (Lund University).

Executive Managing Editor of the journal Transformation Groups (1996--present), BirkhäuserBoston. Member of the Editorial Boards of Izvestiya Mathematics (2006--present),Mathematical Notes (2003--present), Journal of Mathematical Sciences (2001--present),Springer, European Mathematical Society Newsletter (since January 2015), EMS,Geometriae Dedicata (1989--1999), Kl\"uwer. Founder and title Editor of the subseries"Invariant Theory and Algebraic Transformation Groups" of Encyclopaedia of MathematicalSciences, Springer (1998--present).

Member, Board of Moscow Mathematical Society (1998–2000).

More than 150 publications, among them 4 monographs, 1 textbook and the paperspublished in Annals of Mathematics, Journal of the American Mathematical Society,Compositio Mathematica, Transformation Groups, Izvestiya: Mathematics, Sbornik:Mathematics, Journal fur die reine und angewandte Mathematik, Commentarii MathematiciHelvetici, Contemporary Mathematics, Journal of Algebra, Functional Analysis and ItsApplications, Comptes Rendus de l'Academie des Sciences Paris, Transactions of theMoscow Mathematical Society, Indagationes Mathematicae, Mathematical Notes, RussianMathematical Surveys, Journal of the Ramanujan Mathematical Society, DocumentaMathematica, Pacific Journal of Mathematics, European Journal of Mathematics. The resultsare included in many monographs and textbooks (D. Mumford, J. Fogarty, GeometricInvariant Theory; H. Kraft, Geometrische Methoden in der Invariantentheorie; H. Derksen, G.Kemper, Computational Invariant Theory; F. Grosshans, Algebraic Homogeneous Spacesand Invariant Theory; H. Kraft, P. Slodowy, T. A. Springer, Algebraic Transformation Groupsand Invariant Theory; W. F. Santos, A. Rittatore, Actions and Invariants of Algebraic Groups;B. Sturmfels, Algorithms in Invariant Theory; G. Freudenburg, Algebraic Theory of LocallyNilpotent Derivations; M. Lorenz, Multiplicative Invariant Theory; E. A. Tevelev, ProjectiveDuality and Homogeneous Spaces and the others).

Organizer of several international conferences, in particular, "Semester on AlgebraicTransformation Groups" at The Erwin Schrödinger Institute, Vienna (joint with B. Kostant,2000), and the conference "Interesting Algebraic Varieties Arising in AlgebraicTransformation Groups Theory" at The Erwin Schrödinger Institute, Vienna (2001).

Principal Investigator of the fSU–USA cooperative CRDF project "Algebraic TransformationGroups and Applications" (1996–1998). Team Leader of the joint Swiss-Franco-fSU INTASproject "Algebraic Transformation Groups with Application in Representation Theory andAlgebraic Geometry" (1998–2000).

First Prize, graduate students research competition, Department of Mathematics, MoscowState University Lomonosov (1969).

======================================

Among the results obtained are:

● A criterion for closedness of orbits in general position, one of the basic facts of modernInvariant theory (1970–72).

● Pioneering results of modern theory of embeddings (compactifications) of homogeneousalgebraic varieties (in particular, toric and spherical varieties), which determined its rapidmodern development (1972–73).

● Computing the Picard group of any homogeneous algebraic variety of any linear algebraicgroup (1972–74).


Стр. 2 из 21 13.08.2018, 9:13

● Creation of a new direction in Invariant theory—classifying linear actions with certainexceptional properties, e.g., with a free algebra of invariants (jointly with V. G. Kac and E. B.Vinberg), with a free module of covariants, with an equidimensional quotient, and the others.Developing the appropriate methods and obtaining the classifications themselves. Finitenesstheorems for the actions with a fixed length of the chain of syzygies (1976–83). The ideologyof exceptional properties has then became wide spreaded.

● Solution to the generalized Hilbert’s 14th problem (1979).

● The estimates of the degrees of basic invariants of connected semisimple linear groupsfirst obtained 100 years after the attempt by Hilbert to obtain them (1981–82). They gave riseto modern constructive Invariant theory .

● A theory of contractions of any actions to horospherical ones, which has become anindispensable tool for the modern theory of algebraic transformation groups (1986).

● Pioneering results on the description of algebraic subgroups of the affine Cremona groupsthat led to a surge of activity in this area in recent decades are obtained (1986–2011).

● The characterization of affine algebraic groups as automorphism groups of simple finite-dimensional (not necessarily associative) algebras (2003, jointly with N. L. Gordeev). Inparticular, the extension to any finite group of the famous characterization of the largestsimple sporadic finite group (the Fischer–Griess Monster). The result is published in Annalsof Mathematics and recognized as one of the best in the Steklov Mathematical Institute in2002.

● A theory of the phenomenon discovered in 1846 by Cayley (2005, jointly with N. Lemire, Z.Reichstein): classification of algebraic groups admitting a birational equivariant map on itsLie algebra. Solution to the old (1975) problem of classifying Caley unimodular groups. Theresult is published in Journal of the American Mathematical Society and recognized as oneof the best in the Russian Academy of Sciences in 2005.

● Classification of simple Lie algebras whose fields of rational functions are purelytranscendental over the subfields of adjoint invariants (2010, jointly with J.-L. Colliot-Thélène, B. Kunyavskiĭ, Z. Reichstein). This result is at the heart of counter-examples to thefamous Gel'fand–Kirillov conjecture of 1966 on the fields of fractions of the universalenveloping algebras of simple Lie algebras. It is published in Compositio Mathematica andrecognized as one of the best in the Steklov Mathematical Institute in 2010.

● Answers to the old (1969) questions of Grothendieck to Serre on the cross-sections andquotients for the actions of semisimple algebraic groups on themselves by conjugation.Constructing the minimal system of generators of the algebras of class functions and that ofthe representations of rings of such groups (2011).

● Introduction of the general concept of the Jordan group to the mathematical usage andinitiating research (carried out since then by many specialists) of the Jordan property ofautomorphism groups of varieties and manifolds, in particular, groups of birational self-mapsand biregular automorphisms of algebraic varieties. Classifying of algebraic curves andsurfaces whose groups of birational self-maps are Jordan (2011).

● The solution of the classification problem, posed in 1965 by A. Borel, of infinite discretegroups generated by complex affine unitary reflections; exploring their remarkableconnections with number theory, combinatorics, coding theory, algebraic geometry andsingularity theory (1980–82, 2005).

===================================

On the results obtained (citations):

● From Introduction to the book J. Olver, Classical Invariant Theory, London Math. Soc.Student Texts 44 Cambridge Univ. Press, 1999:

``[…] a vigorous, new Russian school of invariant theorists, led by Popov [181] and Vinberg[226] who have pushed the theory into fertile new areas. […]"

● On the book Popov, V. L. Groups, Generators, Syzygies, and Orbits in Invariant Theory.Transl. of Math. Monographs, 100. Amer. Math. Soc., Providence, RI, 1992. vi+245 pp.:

– From the review by G. Schwarz (Bull of Amer. Math. Soc., 29 (1993), no. 2, 299–304):

``[…] Popov is a leader in Invariant theory, and the articles in this book were important to thatfield’s development. […]’’

``[…] There has been an explosion of activity in this area over the last ten years. Popov'swork was seminal. […]’’

– From the review by M. Brion (Math. Reviews 92g:14054:

``[… ] The author’s results have been the starting point for research trends in invariant


Стр. 3 из 21 13.08.2018, 9:13

theory: for example, classification of representations of semisimple groups with ``good "properties, and also embedding theory of homogeneous spaces. […]’’

● On the work V. L. Popov, E. B. Vinberg, Invariant Theory, Encycl. Math. Sci., Vol. 55,Springer-Verlag, Berlin, 1994, pp. 123–284:

– From the review by N. Andruskiewitsch (Zentralblatt Math. 735.14010):

``[…] The paper under review, written by two of the main contributors in this last period, […]should be considered as a book, which is probably the format it would have if translated.[…]"

– From the review by P. E. Newstead (Math. Reviews 92d:14010) :

``This article is […] by two of today’s leading experts in the field and will undoubtedly serveas a major source of information on the subject. […]"

● From the paper Y. André, Solution algebras of differential equations and quasi-homogeneous varieties: a new differential Galois correspondence, Ann. Sci. Ec. Norm. Sup.(4) 47 (2014), no. 2, 449--467:

`Àfter pioneering work by Grosshans, Luna, Popov, Vinberg and others in the seventies, thestudy of quasi-homogeneous G-varieties, i.e., algebraic G-varieties with a dense G-orbit, hasnow become a rich and deep theory.’’

● From the paper D. Luna et Th. Vust, Plongements d’espaces homogènes, Comment.Math. Helvetici 58 (1983), 186–245:

``Nous devons notre point de départ bien évidemment à la théorie des plongements toriques([5], [6]), mais aussi à article [10] de V. L. Popov, dans lequel est donnée la classification desespaces Presque-homogènes affines normaux sous SL(2)’’ (here [10] stands for V. L. Popov,“Quasihomogeneous affine algebraic varieties of the group SL(2)”, Math. USSR-Izv., 7:4(1973), 793–831).

● From the Introduction to Chap. III of the book H. Kraft, Geometrische Methoden in derInvariantentheorie, Aspekte der Mathematik, Bd. D1, Vieweg, Braunschweig, 1985:

``[…] Zum Abschluss geben wir – sozusagen als Krönung der hier entwickelten Methoden –die vollständige Klassifikation der sogenannten SL(2)-Einbettungen, d.h. derjenigen affinenSL(2)-Varietäten, welche einen dichten Orbit enthalten. Dieses schöne Resultat geht auf V.L. Popov zurück [P1]'' (here [Po1] stands for V. L. Popov, “Quasihomogeneous affinealgebraic varieties of the group SL(2)”, Math. USSR-Izv., 7:4 (1973), 793–831).

● From the book Algebraic Transformation Groups and Invariant Theory, DMV Seminar,Band 13, Birkhäuser, 1989, p. 72:

`Ìn this paragraph we explain some classical results about the Picard group Pic G ([…]; [Po74]; […])" (here [Po 74] stands for V. L. Popov, Picard groups of homogeneous spaces oflinear algebraic groups and one-dimensional homogeneous vector bundles, Math. USSR Izv.8 (1974), 301–327).

● From the paper H. Derksen, H. Kraft, Constructive Invariant theory, in: Algèbre NonCommutative, Groupes Quantiques et Invariants (Reims, 1995), Sémin. Congr., Vol. 36, Soc.Math. France, Paris, 1997, pp. 221–244:

`Ìt took almost a century until Vladimir Popov determined a general bound for β(V ) for anysemi-simple group G ([Pop 81/82])" (here [Pop 81/82] stands for V. Popov, ConstructiveInvariant theory, Ast_erisque 87{88 (1981), 303–334, and V. L. Popov, The constructivetheory of invariants, Math. USSR Izv. 19 (1982), 359–376.

● From the paper J. Elmer, M. Kohls, Zero-separating invariants for finite groups, J. Algebra411 (2014), 92–113:

`Òne of the most celebrated results of 20th century invariant theory is the theorem ofNagata [12] and Popov [13] which states that k[X]^G is finitely generated for all affineG-varieties X if and only if G is reductive.'' (here [13] stands for V. L. Popov, Hilbert's theoremon invariants, Soviet Math. Dokl., 20:6 (1979), 1318–1322).

● From the book (p. 161) D. Mumford, J. Fogarty, Geometric Invariant Theory, 2nd ed.,Ergebnisse der Math. Und ihrer Grenzgebiete, Bd. 34, Springer-Verlag, Berlin, 1982:

``[…] The striking result due to Kac, Popov, Vinberg ([…], [166], […]) is the followingTheorem […]‘’ (here [166] stands for V. G. Kac, V. L. Popov, E. B. Vinberg, “Sur les groupeslinéaires algébriques dont l'algèbre des invariants est libre”, C. R. Acad. Sci. Paris Sér. A-B,283:12 (1976), A875–A878).

● From the paper H. Flenner, M. Zaidenberg, Locally nilpotent derivations on affine surfaceswith a C-action, Osaka J. Math. 42 (2005), no. 4, 931–974:


Стр. 4 из 21 13.08.2018, 9:13

``By classical results […] of Popov [Po], […]" (here [Po] stands for V. L. Popov, Classificationof affine algebraic surfaces that are quasihomogeneous with respect to an algebraic group,Math. USSR Izv. 7 (1974), 1039–1055 (1975)).

● From the paper L. E. Renner, Orbits and invariants of visible group actions, Transform.Groups 17 (2012), no. 4, 1191–1208:

``We now introduce the following definition (Definition 1.10 below). It is one of the keynotions in the study of invariants.[...] The notion of a stable action was first introduced in [7]by V. L. Popov. There he establishes a criterion of stability for semisimple groups (Theorem1 of [7])‘’ (here Definition 1.10 is the definition of stable action and [7] is the reference topaper V. Popov, On the stability of the action of an algebraic group on an algebraic variety,Math. USSR Izv. 6 (1973), 367–379).

● From the paper N. Perrin, On the geometry of spherical varieties, Transform. Groups 19(2014), no. 1, 171–223:

``It is a classical problem to ask which product of projective rational homogeneous spaces has a dense G-orbit. This is solved in [141] if all the parabolic subgroups agree‘’

(here [141] is the reference to the paper V. L. Popov, Generically multiple transitive algebraicgroup actions, in: Proceedings of the International Colloquium on Algebraic Groups andHomogeneous Spaces (Mumbai, 2004), Tata Institute of Fundamental Research, Vol. 19,Narosa, internat. distrib. by AMS, New Delhi, 2007, pp. 481–523).

● From the paper A. Guld, Boundedness properties of automorphism groups of forms of flagvarieties, arXiv:1806.05400v1 [math.AG] 14 Jun 2018:

`` Recently there have been great interest in investigating the finite subgroups of biregularand birational automorphism groups of algebraic varieties. The Jordan property lies in thecenter of attention. <…> Research about investigating Jordan properties for birational andbiregular automorphism groups of varieties was initiated by V. L. Popov in [Po11]” (here[Po11] is the reference to the paper V. L. Popov. On the Makar-Limanov, Derksen invariants,and finite automorphism groups of algebraic varieties, Proceedings of the conference onAffine Algebraic Geometry held in Professor Russell’s honour, 1–5 June 2009, McGill Univ.,Montreal., Centre de Recherches Mathématiques CRM Proc. and Lect. Notes, Vol. 54,289–311, 2011).

Main publications:N. Lemire, V. L. Popov, Z. Reichstein, “Cayley groups”, J. Amer. Math. Soc., 19:4(2006), 921–967

1.

N. L. Gordeev, V. L. Popov, “Automorphism groups of finite dimensional simplealgebras”, Ann. of Math. (2), 158:3 (2003), 1041–1065

2.

V. L. Popov, Groups, generators, syzygies, and orbits in invariant theory, Translationsof Mathematical Monographs, 100, Amer. Math. Soc., Providence, RI, 1992 ,vi+245 pp.

3.

V. L. Popov, “Modern developments in invariant theory”, Proceedings of theInternational Congress of Mathematicians (Berkeley, Calif., 1986), v. 1, Amer. Math.Soc., Providence, RI, 1987, 394–406

4.

V. L. Popov, Discrete Somplex Reflection Groups, Lectures delivered at the Math.Institute Rijksuniversiteit Utrecht in October 1980, Commun. Math. Inst. Rijksuniv.Utrecht, 15, Rijksuniversiteit Utrecht Mathematical Institute, Utrecht, 1982 , 89 pp.

5.

http://www.mathnet.ru/eng/person8935

http://scholar.google.com/citations?user=Qcve-A0AAAAJ&hl=en

http://zbmath.org/authors/?q=ai:popov.vladimir-l

https://mathscinet.ams.org/mathscinet/MRAuthorID/191510

http://elibrary.ru/author_items.asp?authorid=103605

http://orcid.org/0000-0003-0990-2898

http://www.researcherid.com/rid/C-3495-2014

http://www.scopus.com/authid/detail.url?authorId=13605069500

https://www.researchgate.net/profile/Vladimir_Popov12

http://arxiv.org/a/popov_v_1


Стр. 5 из 21 13.08.2018, 9:13

| by years | by types | by times cited | scientific publications | common list |Full list ofpublications:

2018

1. Vladimir L. Popov, “Modality of representations, and packets for -groups”, LieGroups, Geometry, and Representation Theory, 1st ed., Progress in Mathematics,eds. Victor G. Kac, Vladimir L. Popov, Birkhäuser, Boston, 2018 (to appear) ,arXiv: 1707.07720

2. Vladimir L. Popov, “The Jordan property for Lie groups and automorphism groupsof complex spaces”, Math. Notes, 103:5 (2018), 811–819

3. V. L. Popov, Three plots about the Cremona groups, submitted to Izvestiya:Mathematics, 2018 (to appear)

4. V. L. Popov, “Compressible finite groups of birational automorphisms”, Dokl.Math., 482:1 (2018) (to appear) , 5 pp.

5. V. L. Popov, Yu. G. Zarhin, “Types of root systems in number fields”, Dokl. Math.,2018 (to appear) , 5 pp.

6. Vladimir L. Popov, Yuri G. Zarhin, Root systems in number fields, 2018 , 15 pp.,arXiv: 1808.01136

7. Lie Groups, Geometry, and Representation Theory, Progress in Mathematics, 1sted., eds. Victor G. Kac, Vladimir L. Popov, Birkhäuser, Boston, 2018 (to appear)

2017

8. Vladimir L. Popov, “Do we create mathematics or do we gradually discovertheories which exist somewhere independently of us?”, Eur. Math. Soc. Newsl.,107 (2017), 37

9. V. L. Popov, “Borel subgroups of Cremona groups”, Mathematical Notes, 102:1(2017), 60-67 link.springer.com/article/10.1134/S0001434617070070

(cited: 1)

10. Vladimir L. Popov, Algebraic groups whose orbit closures contain only finitelymany orbits, 2017 , 12 pp., arXiv: 1707.06914v1

11. Vladimir L. Popov, “Bass' triangulability problem”, Algebraic varieties andautomorphism groups, Adv. Stud. Pure Math., 75, Math. Soc. Japan, Kinokuniya,Tokyo, 2017, 425–441 bookstore.ams.org/aspm-75/, arXiv: 1504.03867

12. Vladimir L. Popov, “Discrete groups generated by complex reflections”, VI-thconference on algebraic geometry and complex analysis for youngmathematicians of Russia (Northern (Arctic) Federal University named after M. V.Lomonosov, Koryazhma, Arkhangelsk region, Russia, August 25–30, 2017),Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, 2017,13–14 www.mathnet.ru/php/conference.phtml?confid=1006&option_lang=eng

13. V. L. Popov, “On modality of representations”, Dokl. Math., 96:1 (2017), 312–314

14. Gene Freudenburg, Algebraic Theory of Locally Nilpotent Derivations, Subseries:Invariant Theory and Algebraic Transformation Groups, Encyclopaedia ofMathematical Sciences, 136, no. VII, 2nd ed., eds. Revaz V. Gamkrelidze,Vladimir L. Popov, Springer, Berlin, 2017 , 316+i-xxii pp. https://link.springer.com/content/pdf/bfm

2016

15. Vladimir L. Popov, “Birational splitting and algebraic group actions”, Eur. J. Math.,2:1 (2016), 283–290 https://www.math.uni-bielefeld.de/LAG/man/552.pdf,arXiv: 1502.02167 (cited: 2)

(cited: 1)

16. V. L. Popov, G. V. Sukhotskii, Analiticheskaya geometriya. Uchebnik i praktikum,Bakalavr. Akademicheskii kurs, 2-e izd., per. i dop., Yurait, Moskva, 2016 , 232 pp.http://urait.ru/catalog/388730

17. V. L. Popov, “Algebras of General Type: Rational Parametrization and NormalForms”, Proc. Steklov Inst. Math., 292:1 (2016), 202–215

(cited: 1)

18. V. L. Popov, “Subgroups of the Cremona groups: Bass' problem”, Dokl. Math.,93:3 (2016), 307–309

19. V. L. Popov, “Rationality of (co)adjoint orbits”, International conference onalgebraic geometry, complex analysis and computer algebra (Northern (Arctic)Federal University named after M. V. Lomonosov, Koryazhma, Arkhangelskregion, Russia, August 03–09, 2016), Steklov Mathematical Institute of RussianAcademy of Sciences, Moscow, 2016, 84–85 http://www.mathnet.ru/ConfLogos


Стр. 6 из 21 13.08.2018, 9:13

/805/thesis.pdf

2015

20. Vladimir L. Popov, “Around the Abhyankar–Sathaye conjecture”, DocumentaMathematica, 2015, Extra Volume:Alexander S. Merkurjev's Sixtieth Birthday (TheBook Series, Vol. 7), 513–528 https://www.math.uni-bielefeld.de/documenta/vol-merkurjev/popov.html, arXiv: 1409.6330 (ISSN 1431-0643 (INTERNET),1431-0635 (PRINT))

21. V. L. Popov, “Finite subgroups of diffeomorphism groups”, Proc. Steklov Inst.Math., 289 (2015), 221–226 , arXiv: 1310.6548v2(cited: 6) (cited: 3)

22. V. L. Popov, “Problema Bassa o trianguliruemosti podgrupp grupp Kremony”, Vshkola-konferentsiya po algebraicheskoi geometrii i kompleksnomu analizu dlyamolodykh matematikov Rossii (g. Koryazhma Arkhangelskoi oblasti, FilialSevernogo (Arkticheskogo) federalnogo universiteta im. M. V. Lomonosova, 17–22avgusta 2015 g.), Matematicheskii institut im. V.A. Steklova Rossiiskoi akademiinauk, Moskva, 2015, 83–87 http://www.mathnet.ru/ConfLogos/604/thesis-Koryazhma.pdf

23. V. L. Popov, “Number of components of the nullcone”, Proc. Steklov Inst. of Math.,290 (2015), 84–90 , arXiv: 1503.08303 (cited: 2)

(cited: 1)

24. Vladimir L. Popov, “On the equations defining affine algebraic groups”, Pacific J.Math., 279:1-2, Special issue. In memoriam: Robert Steinberg (2015), 423–446http://msp.org/pjm/2015/279-1/p19.xhtml, arXiv: 1508.02860

(cited: 1)

25. H. Derksen, G. Kemper, Computational Invariant Theory, with two Appendices byVladimir L. Popov, and an Addendum by Norbert A'Campo and Vladimir L. Popov,Encyclopaedia of Mathematical Sciences, subseries “Invariant Theory andAlgebraic Transformation Groups”, 130, no. VIII, Second Enlarged Edition,eds. R. V. Gamkrelidze, V. L. Popov, Springer, Berlin, Heidelberg, 2015 , 387 pp.DOI:10.1007/978-3-662-48422-7

26. Vladimir L. Popov, “Is one of the two orbits in the closure of the other?”, AppendixB in: H. Derksen, G. Kemper, Computational Invariant Theory, Subseries“Invariant Theory and Algebraic Transformation Groups”, no. VIII, Encyclopaediaof Mathematical Sciences, 130, 2nd Enlarged Ed., Springer, Berlin, 2015,309–322 www.springer.com/gp/book/9783662484203

27. Vladimir L. Popov, “Stratification of the nullcone”, Appendix C in: H. Derksen, G.Kemper, Computational Invariant Theory, Subseries “Invariant Theory andAlgebraic Transformation Groups”, no. VIII, Encyclopaedia of MathematicalSciences, 130, 2nd Enlarged Ed. with two Appendices by V. L. Popov, and anAddendum by N. A. Campo and V. L. Popov, Springer, Berlin, 2015, 323–344www.springer.com/gp/book/9783662484203

28. Norbert A'Campo, Vladimir L. Popov, “The source code of HNC”, Addendum toAppendix C in: H. Derksen, G. Kemper, Computational Invariant Theory,Subseries “Invariant Theory and Algebraic Transformation Groups”, no. VIII,Encyclopaedia of Mathematical Sciences, 130, 2nd Enlarged Ed. with twoAppendices by V. L. Popov, and an Addendum by N. A. Campo and V. L. Popov,Springer, Berlin, 2015, 345–358 www.springer.com/gp/book/9783662484203

2014

29. V. L. Popov, “Quotients by conjugation action, cross-sections, singularities,andrepresentation rings”, Representation Theory and Analysis of Reductive Groups:Spherical Spaces and Hecke Algebras (Mathematisches ForschungsinstitutOberwolfach, 19 January – 25 January 2014), Oberwolfach Reports, 11, no. 1,European Mathematical Society, 2014, 156–159

30. V. L. Popov, “On infinite dimensional algebraic transformation groups”, Transform.Groups, 19:2, special issue dedicated to E. B. Dynkin's 90th anniversary (2014),549–568 https://www.math.uni-bielefeld.de/LAG/man/523.pdf, arXiv: 1401.0278

(cited: 1) (cited: 6) (cited: 1) (cited: 5)

31. V. L. Popov, “Jordan groups and automorphism groups of algebraic varieties”,Automorphisms in birational and affine geometry, Springer Proceedings inMathematics & Statistics, 79, Springer, 2014, 185–213 https://www.math.uni-bielefeld.de/LAG/man/508.pdf, arXiv: 1307.5522

(cited: 17)

32. V. L. Popov, “Jordaness of the automorphism groups of varieties and manifolds”,Modern Problems of Mathematics and Natural Sciences (Koryazhma, September15–18, 2014), Northern (Arctic) Federal M. V. Lomonosov University, Koryazhma,2014, 66–70


Стр. 7 из 21 13.08.2018, 9:13

33. N. A. Vavilov, È. B. Vinberg, I. A. Panin, A. N. Panov, A. N. Parshin, V. P. Platonov,V. L. Popov, “Valentin Evgen'evich Voskresenskii (obituary)”, Russian Math.Surveys, 69:4 (2014), 753–754

2013

34. V. L. Popov, “Tori in the Cremona groups”, Izv. Math., 77:4, special issue on theoccasion of I. R. Shafarevich's 90th anniversary (2013), 742–771https://www.math.uni-bielefeld.de/LAG/man/474.pdf

(cited: 6) (cited: 2) (cited: 2) (cited: 2)

35. V. L. Popov, “Some subgroups of the Cremona groups”, Affine algebraic geometry,Proceedings of the conference on the occasion of M. Miyanishi's 70th birthday(Osaka, Japan, 3–6 March 2011), World Scientific Publishing Co., Singapore,2013, 213–242 https://www.math.uni-bielefeld.de/LAG/man/448.pdf

(cited: 8)

36. V. L. Popov, “Algebraic groups and the Cremona group”, Algebraic groups(Mathematisches Forschungsinstitut Oberwolfach, 7 April – 13 April 2013),Oberwolfach Reports, 10, no. 2, European Mathematical Society, 2013,1053–1055

37. V. L. Popov, “Rationality and the FML invariant”, Journal of the RamanujanMathematical Society, 28A (2013), 409–415 http://www.mathjournals.org/jrms/2013-028-000/2013-28A-SPL-017.html, https://www.math.uni-bielefeld.de/LAG/man/485.pdf (special Issue-2013 dedicated to C. S. Seshadri's 80thbirthday) (cited: 1) (cited: 2)

38. S. V. Vostokov, S. O. Gorchinskiy, A. B. Zheglov, Yu. G. Zarkhin,Yu. V. Nesterenko, D. O. Orlov, D. V. Osipov, V. L. Popov, A. G. Sergeev,I. R. Shafarevich, “Aleksei Nikolaevich Parshin (on his 70th birthday)”, RussianMath. Surveys, 68:1 (2013), 189–197

2012

39. V. L. Popov, “Problems for the problem session”, International conference “Groupsof Automorphisms in Birational and Affine Geometry” (Levico Terme (Trento),October 29th – November 3rd, 2012), 2012 , 2 pp. http://www.science.unitn.it/cirm/Trento_postersession.html

40. V. L. Popov, Editor's preface to the Russian translation of the book: D. A. Cox,S. Katz, Mirror symmetry and algebraic geometry, ed. V. L. Popov, MCCME,Moscow, 2012, 5

2011

41. J.-L. Colliot-Thélène, B. Kunyavskiĭ, V. L. Popov, Z. Reichstein, “Is the functionfield of a reductive Lie algebra purely transcendental over the field of invariants forthe adjoint action?”, Compos. Math., 147:2 (2011), 428–466(cited: 12) (cited: 8) (cited: 6)

42. V. L. Popov, “Cross-sections, quotients, and representation rings of semisimplealgebraic groups”, Transform. Groups, 16:3, special issue dedicated to TonnySpringer on the occasion of his 85th birthday (2011), 827–856(cited: 5) (cited: 4) (cited: 4) (cited: 4)

43. V. L. Popov, “On the Makar-Limanov, Derksen invariants, and finite automorphismgroups of algebraic varieties”, Affine algebraic geometry: the Russell Festschrift,CRM Proceedings and Lecture Notes, 54, Amer. Math. Soc., 2011, 289–311https://www.math.uni-bielefeld.de/LAG/man/375.pdf (cited: 13)

(cited: 19)

44. V. L. Popov, “Invariant rational functions on semisimple Lie algebras and theGelfand–Kirillov conjecture”, Algebra and Mathematical Logic, Internationalconference commemorating th birthday of professor V. V. Morozov (Kazan,September 25–30, 2011), Kazan Federal Univ., Kazan, 2011, 19

45. D. A. Timashev, Homogeneous spaces and equivariant embeddings,Encyclopaedia of Mathematical Sciences, Subseries Invariant Theory andAlgebraic Transformation Groups, VIII, 138, eds. R. V. Gamkrelidze, V. L. Popov,Springer, Berlin, 2011 , 253 pp. (cited: 52)

46. H. E. A. E. Campbell, D. L. Wehlau, Modular invariant theory, Encyclopaedia ofMathematical Sciences, Subseries Invariant Theory and Algebraic TransformationGroups, IX, 139, eds. R. V. Gamkrelidze, V. L. Popov, Springer, Berlin, 2011 ,233 pp. (cited: 23)

2010


Стр. 8 из 21 13.08.2018, 9:13

47. V. Popov, “Discrete complex reflection groups”, Geometry, topology, algebra andnumber theory, applications, The international conference dedicated to the 120thanniversary of Boris Nikolaevich Delone (1890–1980) (August 16–20, 2010),Steklov Mathematical Institute, Moscow State University, Moscow, 2010, 140

2009

48. V. L. Popov, “Two orbits: When is one in the closure of the other?”, Proc. SteklovInst. Math., 264 (2009), 146–158 (cited: 4)

(cited: 4) (cited: 4) (cited: 4)

49. V. L. Popov, “Algebraic Cones”, Math. Notes, 86:6 (2009), 892–894 (cited: 1)

2008

50. V. L. Popov, “Irregular and singular loci of commuting varieties”, TransformationGroups, 13:3-4, special issue dedicated to Bertram Kostant on the occasion of his80th birthday (2008), 819–837 (cited: 9) (cited: 10) (cited: 8) (cited: 12)

51. V. Lakshmibai, K. N. Raghavan, Standard Monomial Theory. Invariant TheoreticApproach, Encyclopaedia of Mathematical Sciences, Subseries Invariant Theoryand Algebraic Transformation Groups, VIII, 137, eds. R. V. Gamkrelidze,V. L. Popov, Springer, Berlin, 2008 , 265 pp. (cited: 15)

2007

52. V. L. Popov, “Generically multiple transitive algebraic group actions”, Proceedingsof the International Colloquium on Algebraic Groups and Homogeneous Spaces(Mumbai, 2004), Tata Institute of Fundamental Research, 19, Narosa PublishingHouse, Internat. distrib. by American Mathematical Society, New Delhi, 2007,481–523 (cited: 12)

53. V. L. Popov, “Tensor product decompositions and open orbits in multiple flagvarieties”, J. Algebra, 313:1 (2007), 392–416 (cited: 5)


54. N. Lemire, V. L. Popov, Z. Reichstein, “On the Cayley degree of an algebraicgroup”, Proceedings of the XVIth Latin American Algebra Colloquium (Spanish),Bibl. Rev. Mat. Iberoamericana, Rev. Mat. Iberoamericana, Madrid, 2007, 87–97

55. V. L. Popov, “Quasihomogeneous affine threefolds”, Affine algebraic geometry(Oberwolfach, January 7–14, 2007), Oberwolfach Reports, 4, no. 1, Europ. Math.Soc., 2007, 13–16 http://www.ems-ph.org/journals/show_abstract.php?issn=1660-8933&vol=4&iss=1&rank=1

56. V. L. Popov, “Birationally nonequivalent linear actions. Cayley degrees of simplealgebraic groups. Singularities of two-dimensional quotients”, Affine AlgebraicGeometry (Oberwolfach, January 7–14, 2007), Oberwolfach Reports, 4, no. 1,Europ. Math. Soc., 2007, 75–78 http://www.ems-ph.org/journals/show_abstract.php?issn=1660-8933&vol=4&iss=1&rank=1

57. V. L. Popov, “Finite linear groups, lattices, and products of elliptic curves”,International Algebraic Conference Dedicated to the 100th Anniversary ofD. K. Faddeev (St. Petersburg, September 24–29, 2007), St. Petersburg StateUniversity, St. Petersburg Department of the V. A. Steklov Institute of MathematicsRAS, 2007, 148–149

2006

58. V. L. Popov, Yu. G. Zarhin, “Finite linear groups, lattices, and products of ellipticcurves”, J. Algebra, 305:1 (2006), 562–576 (cited: 1)


59. M. Losik, P. W. Michor, V. L. Popov, “On polarizations in invariant theory”,J. Algebra, 301:1 (2006), 406–424 (cited: 7) (cited: 8) (cited: 7) (cited: 8)

60. N. Lemire, V. L. Popov, Z. Reichstein, “Cayley groups”, J. Amer. Math. Soc., 19:4(2006), 921–967 (cited: 9) (cited: 9)

(cited: 8) (cited: 9)

61. G. Freudenburg, Algebraic Theory of Locally Nilpotent Derivations, Encyclopaediaof Mathematical Sciences, Series Invariant Theory and Algebraic TransformationGroups, VII, 136, eds. R. V. Gamkrelidze, V. L. Popov, Springer, Berlin, 2006 ,261 pp. (cited: 89)

2005


Стр. 9 из 21 13.08.2018, 9:13

62. V. L. Popov, “Projective duality and principal nilpotent elements of symmetricpairs”, Lie groups and invariant theory, Amer. Math. Soc. Transl. Ser. 2, 213,Amer. Math. Soc., Providence, RI, 2005, 215–222 (cited: 2)

63. V. L. Popov, “Roots of the affine Cremona group; Rationality of homogeneousspaces; Two locally nilpotent derivations”, Affine algebraic geometry, Contemp.Math., 369, Amer. Math. Soc., Providence, RI, 2005, 12–16

64. E. Tevelev, Projective duality and homogeneous spaces, Encyclopaedia ofMathematical Sciences, Subseries Invariant Theory and Algebraic TransformationGroups, IV, 133, eds. R. V. Gamkrelidze, V. L. Popov, Springer, Berlin, 2005 ,250 pp. (cited: 23)

65. M. Lorenz, Multiplicative invariant theory, Encyclopaedia of MathematicalSciences, Subseries Invariant Theory and Algebraic Transformation Groups, VI,135, eds. R. V. Gamkrelidze, V. L. Popov, Springer, Berlin, 2005 , 177 pp.

(cited: 33)

66. L. E. Renner, Linear algebraic monoids, Encyclopaedia of Mathematical Sciences,Subseries Invariant Theory and Algebraic Transformation Groups, V, 134,eds. R. V. Gamkrelidze, V. L. Popov, Springer, Berlin, 2005 , 246 pp. (cited: 67)

2004

67. V. L. Popov, E. A. Tevelev, “Self-dual projective algebraic varieties associated withsymmetric spaces”, Algebraic transformation groups and algebraic varieties,Proceedings of the International conference “Interesting Algebraic VarietiesArising in Algebraic Transformation Groups Theory” (the Erwin SchrödingerInstitute, Vienna, October 22–26, 2001), Invariant Theory and AlgebraicTransformation Groups, III, Encyclopaedia of Mathematical Sciences, 132,eds. V. L. Popov, Springer, Heidelberg, Berlin, 2004, 131–167 (cited: 7)

(cited: 6)

68. V. L. Popov, “Moment polytopes of nilpotent orbit closures; Dimension andisomorphism of simple modules; and Variations on the theme of J. Chipalkatti”,Invariant theory in all characteristics, CRM Proc. Lecture Notes, 35, Amer. Math.Soc., Providence, RI, 2004, 193–198 (cited: 2)

69. N. A'Campo, V. L. Popov, The computer algebra package HNC (Hilbert NullCone), http://www.geometrie.ch/, Mathematisches Institut Universität Basel, Basel,2004 , 12 pp.

70. V. L. Popov (ed.), Algebraic transformation groups and algebraic varieties,Proceedings of the International conference “Interesting Algebraic VarietiesArising in Algebraic Transformation Groups Theory” held at the Erwin SchrödingerInstitute (Vienna, October 22–26, 2001), Invariant Theory and AlgebraicTransformation Groups, v. III, Encyclopaedia of Mathematical Sciences, 132,Springer, Berlin, Heidelberg, 2004 , xii+238 pp. (cited: 3)

2003

71. N. L. Gordeev, V. L. Popov, “Automorphism groups of finite dimensional simplealgebras”, Ann. of Math. (2), 158:3 (2003), 1041–1065 (cited: 6)


72. M. Losik, P. W. Michor, V. L. Popov, “Invariant tensor fields and orbit varieties forfinite algebraic transformation groups”, A Tribute to C. S. Seshadri: Perspectives inGeometry and Representation Theory (Chennai, 2002), Hindustan Book Agency(India), Chennai, 2003, 346–378 (cited: 4)

73. V. L. Popov, “The Cone of Hilbert nullforms”, Proc. Steklov Inst. Math., 241 (2003),177–194

74. V. L. Popov, “Greetings to Seshadri on his 70th birthday”, A Tribute toC. S. Seshadri: Perspectives in Geometry and Representation Theory, HindustanBook Agency (India), Chennai, 2003, xix

2002

75. V. L. Popov, “Self-dual algebraic varieties and nilpotent orbits”, Proceedings of theinternational conference “Algebra, Arithmetic and Geometry”, Part II (Mumbai,2000), Tata Institute of Fundamental Research, 16, Narosa Publishing House,intern. distrib. by American Mathematical Society, New Delhi, 2002, 509–533

(cited: 6)

76. V. L. Popov, “Constructive invariant theory”, Collection of Papers Commemorating40th Anniversary of MGIEM, MIEM Publ., Moscow, 2002, 103–106

77. H. Derksen, G. Kemper, Computational Invariant Theory, Encyclopaedia ofMathematical Sciences, Series Invariant Theory and Algebraic TransformationGroups, 1, 130, eds. R. V. Gamkrelidze, V. L. Popov, Springer, Berlin, 2002 ,268 pp. (cited: 167)


Стр. 10 из 21 13.08.2018, 9:13

78. A. Białynicki-Birula, J. B. Carrell, W. M. McGovern, Algebraic quotients. Torusactions and cohomology. The adjoint representation and the adjoint action,Encyclopaedia of Mathematical Sciences, Subseries Invariant Theory andAlgebraic Transformation Groups, II, 131, eds. R. V. Gamkrelidze, V. L. Popov,Springer, Berlin, 2002 , 242 pp. (cited: 8)

2001

79. V. L. Popov, “On polynomial automorphisms of affine spaces”, Izv. Math., 65:3(2001), 569–587

80. V. Popov, “Modern developments in invariant theory”, Plenary Address atÖsterreichische Mathematische Gesellschaft – 15 Kongress, Jahrestagung derDeutschen Mathematikervereinigung (Vienna, 16–22 September), DeutscheMathematikervereinigung, Österreichische Mathematische Gesellschaft, 2001, 48

81. V. L. Popov, “Preface to the Russian translation of talks at the Séminaire Bourbaki,1992”, Mathematics. News in Foreign Science, 50, Mir, Moscow, 2001

2000

82. P. I. Katsylo, V. L. Popov, “On Fixed Points of Algebraic Actions on ”, Funct.Anal. Appl., 34:1 (2000), 33–40

83. V. L. Popov, Generators and relations of the affine coordinate rings of connectedsemisimple algebraic groups, preprint ESI, no. 972, The Erwin SchrödingerInstitute for Mathematical Physics, Vienna, 2000 , 12 pp.

84. V. L. Popov, Editor's preface to the Russian translation of the book: D. Cox,J. Little, D. O'Shea, Ideals, Varieties, and Algorithms. An Introduction toComputational Algebraic Geometry and Commutative Algebra (2nd edition,Springer, 1998), ed. V. L. Popov, Mir, Moscow, 2000, 6

1999

85. V. L. Popov, G. V. Sukhotsky, Analytic Geometry. Lectures and Exercises, MGIEM,SITMO Publ., Moscow, 1999 , ii+232 pp.

86. Vladimir Popov, “Algebraic groups of automorphisms of polynomial rings”,Colloque International “Théorie des Groupes”. Journées Solstice d'été 1999(Institut de Mathématiques de Jussieu, 75005 Paris, France, 17, 18, 19 juin 1999),l'Université Paris 7–Denis Diderot, 1999, 15 https://www.imj-prg.fr/grg/archives/Colloques/1999Solstice/

1998

87. V. L. Popov, Discrete complex reflection groups, Workshop on Reflection Groups,January 13–21, SISSA, Trieste, Italy, 1998 , 23 pp.

88. V. L. Popov, “Comments to the papers by D. Hilbert “Über die Theorie deralgebraischen Formen” and “Über die vollen Invariantensysteme””: D. Hilbert,Selected Works, Factorial Publ., Moscow, 1998, 490–517

89. V. L. Popov, “Reductive subgroups of and ”, Tagungsbericht14/1998, Algebraische Gruppen, 05.04–11.04.1998 (MathematischesForschungsinstitut Oberwolfach, 05.04–11.04,1998), v. 14, MathematischesForschungsinstitut Oberwolfach, 1998, 13–14 https://www.mfo.de/occasion/9815/www_view

1997

90. V. Popov, G. Röhrle, “On the number of orbits of a parabolic subgroup on itsunipotent radical”, Algebraic Groups and Lie Groups, Australian MathematicalSociety Lecture Series, 9, Cambridge University Press, Cambridge, 1997,297–320 (cited: 16)

91. V. L. Popov, “A finiteness theorem for parabolic subgroups of fixed modality”,Indag. Math. (N.S.), 8:1 (1997), 125–132 (cited: 7)


92. V. L. Popov, “On the Closedness of Some Orbits of Algebraic Groups”, Funct.Anal. Appl., 31:4 (1997), 286–289


93. Vladimir Popov, “Orbits of parabolic subgroups acting on its unipotent radicals”,Tagungsbericht 42/1997. Einh"ullende Algebren und Darstellungstheorie.02.11–08.11.1997 (Mathematisches Forschungsinstitut Oberwolfach.02.11–08.11.1997), v. 42, Mathematisches Forschungsinstitut Oberwolfach, 1997,13 http://oda.mfo.de/bsz325095604.html

94. D. V. Alekseevskii, V. O. Bugaenko, G. I. Olshanskii, V. L. Popov,O. V. Schwarzman, “Érnest Borisovich Vinberg (on his 60th birthday)”, Russian


Стр. 11 из 21 13.08.2018, 9:13

Math. Surveys, 52:6 (1997), 1335–1343 (cited: 1)

1995

95. V. L. Popov, “An analogue of M. Artin's conjecture on invariants for nonassociativealgebras”, Lie Groups and Lie Algebras: E. B. Dynkin's Seminar, AmericanMathematical Society Translations Ser. 2, 169, Amer. Math. Soc., Providence, RI,1995, 121–143 (cited: 4) (cited: 24)

1994

96. V. Popov, “Sections in invariant theory”, Proceedings of The Sophus Lie MemorialConference (Oslo, 1992), Scandinavian University Press, Oslo, 1994, 315–361

(cited: 28)

97. V. L. Popov, “Divisor class groups of the semigroups of the highest weights”, J.Algebra, 168:3 (1994), 773–779

98. V. L. Popov, E. B. Vinberg, “Invariant theory”, Encyclopaedia of MathematicalSciences, 55, Algebraic Geometry IV, Springer-Verlag, Berlin, Heidelberg, NewYork, 1994, 123–284

1993

99. V. L. Popov, “Singularities of closures of orbits”, Quantum Deformations ofAlgebras and Their Representations (Ramat-Gan, 1991/1992; Rehovot,1991/1992), Israel Math. Conference Proceedings, 7, Bar-Ilan University, RamatGan, 1993, 133–141 (cited: 1)

100. V. L. Popov, Predislovie k russkomu perevodu knigi: V. Kats, Beskonechnomernyealgebry Li, eds. V. L. Popov, Mir, M., 1993, 5–6 , 425 pp. (cited: 29)

1992

101. V. L. Popov, “On the “lemma of Seshadri””, Arithmetic and Geometry of Varieties,Samara State Univ., Samara, 1992, 133–139

102. V. L. Popov, È. B. Vinberg, “Some open problems in invariant theory”, Proc.Internat. Conf. in Algebra, Part 3 (Novosibirsk, 1989), Contemporary Mathematics,131, Part 3, American Mathematical Society, Providence, RI, 1992, 485–497


103. V. L. Popov, Groups, generators, syzygies, and orbits in invariant theory,Translations of Mathematical Monographs, 100, Amer. Math. Soc., Providence, RI,1992 , vi+245 pp. (cited: 14)

104. V. L. Popov, “On the “lemma of Seshadri””, Lie Groups, Their Discrete Subgroups,and Invariant Theory, Advances in Soviet Mathematics, 8, Amer. Math. Soc.,Providence, RI, 1992, 167–172 (cited: 3)

1991

105. V. L. Popov, “Invariant theory”, Algebra and Analysis (Kemerovo, 1988), Amer.Math. Soc. Transl. Ser. 2, 148, Amer. Math. Soc., Providence, RI, 1991, 99–112

(cited: 5)

1990

106. V. L. Popov, “When are the stabilizers of all nonzero semisimple points finite?”,Operator algebras, unitary representations, nveloping algebras, and invarianttheory (Paris, 1989), Progress in Mathematics, 92, Birkhäuser Boston, Boston,MA, 1990, 541–559 (cited: 1) (cited: 47)

1989

107. V. L. Popov, “Some applications of algebra of functions on ”, Group Actionsand Invariant Theory (Montreal, PQ, 1988), CMS Conference Proceedings, 10,Amer. Math. Soc., Providence, RI, 1989, 157–166

108. V. L. Popov, “Automorphism groups of polynomial algebras”, Problems in Algebra(Gomel'), v. 4, Universitetskoe, Minsk, 1989, 4–16

1994

109. V.. L. Popov, È. B. Vinberg, “Invariant theory”, Algebraic Geometry–4,Encyclopaedia of Mathematical Sciences, 55, Springer-Verlag, Berlin, Heidelberg,1994, 123–284

1989


Стр. 12 из 21 13.08.2018, 9:13

110. V. L. Popov, “Modules with finite stabilizers of nonzero semisimple elements”,Proc. Intern. Conference commemorating A. I. Mal'cev (Novosibirsk), Math. Inst.Sib. Branch Acad. Sci., Novosibirsk, 1989, 108

111. V. L. Popov, Basic algebraic structures, MIEM Publ., Moscow, 1989 , 42 pp.

1988

112. V. L. Popov, “On the actions of on ”, Arithmetic and geometry of varieties,Kuibyshev. Gos. Univ., Kuybyshev, 1988, 93–98

1989

113. V. L. Popov, “Closed orbits of Borel subgroups”, Math. USSR-Sb., 63:2 (1989),375–392

1988

114. V. L. Popov, Analytic Geometry, MIEM Publ., Moscow, 1988 , 44 pp.

115. V. L. Popov, Linear Algebra, MIEM Publ., Moscow, 1988 , 45 pp.

1987

116. V. L. Popov, “One and a half centuries in the theory of invariants”, Methodologicalanalysis of mathematical theories, Akad. Nauk SSSR Prezid., Tsentral. SovetFilos. (Metod.) Sem., Moscow, 1987, 235–256

117. V. L. Popov, “Modern developments in invariant theory”, Proceedings of theInternational Congress of Mathematicians (Berkeley, Calif., 1986), v. 1, Amer.Math. Soc., Providence, RI, 1987, 394–406 (cited: 1)

118. V. L. Popov, “On actions of on ”, Algebraic groups (Utrecht, 1986), LectureNotes in Math., 1271, Springer, Berlin, 1987, 237–242 (cited: 9)

(cited: 12)

119. V. L. Popov, “Stability of actions of Borel subgroups”, Proc. of the XIX-th All UnionAlgebraic Conference (L'vov), v. 1, Steklov Math. Inst. Acad. Sci. USSR, Moscow,1987, 48

120. V. L. Popov, Editor's preface to the Russian translation of the book: H. Kraft,Geometrische Methoden in der Invariantentheorie, eds. V. L. Popov, Mir, Moscow,1987, 5–7

121. V. L. Popov, “Contractions of the actions of reductive algebraic groups”, Math.USSR-Sb., 58:2 (1987), 311–335

1986

122. V. L. Popov, “On one-dimensional unipotent subgroups of the automorphism groupof a polynomial algebra”, Proc. of the X-th All Union Symposium on GroupsTheory (Minsk), Math. Isnt. Belorus. Acad. Sci., 1986, 182

1985

123. H. Kraft, V. L. Popov, “Semisimple group actions on the three-dimensional affinespace are linear”, Comment. Math. Helv., 60:3 (1985), 466–479(cited: 19) (cited: 25) (cited: 7) (cited: 24)

1984

124. V. L. Popov, “Comments to the papers by H. Weyl “Theorie der Darstellungkontinuierlicher halbeinfacher Gruppen durch lineare TYransformationen”,"Spinors in dimensions" and “Eine für die Valenztheorie geeignete Basis derbinären vektorinvarianten””, H. Weyl, Selected Works, Nauka, Moscow, 1984,471–478; 461–467

1983

125. V. L. Popov, “Homological dimension of algebras of invariants”, J. Reine Angew.Math., 341 (1983), 157–173 (cited: 3) (cited: 10) (cited: 9)

1984

126. V. L. Popov, “Syzygies in the theory of invariants”, Math. USSR-Izv., 22:3 (1984),507–585

1983


Стр. 13 из 21 13.08.2018, 9:13

127. V. L. Popov, “On homological dimension of algebras of invariants”, Proc. of theXVII-th All Union Algebraic Conference (Minsk), Math. Inst. Belorus. Acad. Sci,1983, 152–153

1982

128. V. L. Popov, Discrete Somplex Reflection Groups, Lectures delivered at the Math.Institute Rijksuniversiteit Utrecht in October 1980, Commun. Math. Inst. Rijksuniv.Utrecht, 15, Rijksuniversiteit Utrecht Mathematical Institute, Utrecht, 1982 , 89 pp.

(cited: 14)

1983

129. V. L. Popov, “A finiteness theorem for representations with a free algebra ofinvariants”, Math. USSR-Izv., 20:2 (1983), 333–354

1982

130. V. Grigor'ev, V. L. Popov, D. D. Solncev, Problems in algebra, MIEM Publ.,Moscow, 1982 , 98 pp.

1981

131. V. L. Popov, “Constructive invariant theory”, Young Tableaux and Schur Functorsin Algebra and Geometry (Toruń, 1980), Astérisque, 87, Soc. Math. France, Paris,1981, 303–334 (cited: 11)

1982

132. V. L. Popov, “The constructive theory of invariants”, Math. USSR-Izv., 19:2 (1982),359–376

1981

133. V. L. Popov, “Appendix 3 to the Russian translation of the book”: T. A. Springer,Invariant theory”, Mathematics. News in Foreign Science, 24, eds. V. L. Popov,Mir, Moscow, 1981, 153–182

134. V. L. Popov, Preface to the Russian translation of: T. Springer, Invariant theory,Mir, Moscow, 1981, 5–8

1980

135. V. L. Popov, “Complex root systems and their Weyl groups”, Proc. of the VII AllUnion Symposium on Group Theory (Krasnoyarsk), Math. Inst. Sib. Branch Acad.Sci., Krasnoyarsk Univ., Krasnoyarsk, 1980, 91

136. V. L. Popov, “Constructive invariant theory”, Proc. internat. conf. “Young Tableauxand Schur Functions in Algebra and Geometry” (Toruń, Poland), Inst. Math. Acad.Polon. Sci., 1980, 10–11

1979

137. V. L. Popov, “Hilbert's theorem on invariants”, Soviet Math. Dokl., 20:6 (1979),1318–1322

138. V. L. Popov, “On Hilbert's fourteenth problem”, Proc. of the XV-th All UnionAlgebraic Conference (Krasnoyarsk), Math. Inst. Sib. Branch Acad. Sci.,Krasnoyarsk Univ., Krasnoyarsk, 1979, 123

1980

139. V. L. Popov, “Classification of spinors of dimension fourteen”, Trans. Mosc. Math.Soc., 1 (1980), 181–232

1978

140. V. L. Popov, “Algebraic curves with an infinite automorphism group”, Math. Notes,23:2 (1978), 102–108 (cited: 1)

(cited: 1)

1977

141. V. L. Popov, “One conjecture of Steinberg”, Funct. Anal. Appl., 11:1 (1977), 70–71 (cited: 1)

142. V. L. Popov, “Classification of the spinors of dimension fourteen”, Uspekhi Mat.Nauk, 32:1(193) (1977), 199–200


Стр. 14 из 21 13.08.2018, 9:13

143. V. L. Popov, “Crystallographic groups generated by affine unitary reflection”, Proc.of the XIV-th All Union Algebraic Conference (Novosibirsk), v. 1, Math. Inst. Sib.Branch Acad. Sci., Novosibirsk Univ., Novosibirsk, 1977, 55–56

1987

144. V. L. Popov, 86 papers, Encyclopaedia of Mathematics, Kluwer AcademicPublishers, 1987–2002

1976

145. V. G. Kac, V. L. Popov, E. B. Vinberg, “Sur les groupes linéaires algébriques dontl'algèbre des invariants est libre”, C. R. Acad. Sci. Paris Sér. A-B, 283:12 (1976),A875–A878 (cited: 12)

146. V. L. Popov, “Representations with a free module of covariants”, Funct. Anal.Appl., 10:3 (1976), 242–244 (cited: 24)

1975

147. V. L. Popov, “The classification of representations which are exceptional in thesense of Igusa”, Funct. Anal. Appl., 9:4 (1975), 348–350

(cited: 3)

148. V. L. Popov, “Classification of three-dimensional affine algebraic varieties that arequasi-homogeneous with respect to an algebraic group”, Math. USSR-Izv., 9:3(1975), 535–576

1974

149. V. L. Popov, “Picard groups of homogeneous spaces of linear algebraic groupsand one-dimensional homogeneous vector bundles”, Math. USSR-Izv., 8:2 (1974),301–327

150. V. L. Popov, “Structure of the closure of orbits in spaces of finite-dimensional linearSL(2) representations”, Math. Notes, 16:6 (1974), 1159–1162

(cited: 1)

1973

151. V. L. Popov, “Classification of affine algebraic surfaces that arequasihomogeneous with respect to an algebraic group”, Math. USSR-Izv., 7:5(1973), 1039–1056

152. V. L. Popov, “Quasihomogeneous affine algebraic varieties of the group SL(2)”,Math. USSR-Izv., 7:4 (1973), 793–831

1972

153. È. B. Vinberg, V. L. Popov, “On a class of quasihomogeneous affine varieties”,Math. USSR-Izv., 6:4 (1972), 743–758

154. V. L. Popov, “On the stability of the action of an algebraic group on an algebraicvariety”, Math. USSR-Izv., 6:2 (1972), 367–379

155. V. L. Popov, “Picard groups of homogeneous spaces of linear algebraic groupsand one-dimensional homogeneous vector bundles”, Uspekhi Mat. Nauk, XXVII:4(1972), 191–192

1971

156. E. M. Andreev, V. L. Popov, “Stationary subgroups of points of general position inthe representation space of a semisimple Lie group”, Funct. Anal. Appl., 5:4(1971), 265–271 (cited: 11)

157. V. L. Popov, “Regular action of a semisimple algebraic group on an affine factorialalgebra”, Proc. of the XI-th All Union Algebraic Colloquium (Kishinev), Math.Istitute Mold. Acad. Sci., Kishinev, 1971, 75

1970

158. V. L. Popov, “Stability criteria for the action of a semisimple group on a factorialmanifold”, Math. USSR-Izv., 4:3 (1970), 527–535

Presentations inMath-Net.Ru

1. Cremona groups vs. algebraic groupsV. L. PopovInternational conference Algebraic Geometry — Mariusz Koras in memoriam, May 28–June 1, 2018, Institute of Mathematics of the Polish Academy of Sciences, Warsaw,PolandMay 28, 2018 10:40


Стр. 15 из 21 13.08.2018, 9:13

2. Variations on the theme of Zariski's Cancellation ProblemV. L. PopovInternational conference Polynomial Rings and Affine Algebraic Geometry (PRAAG-2018), February 12--16, 2018, Tokyo Metropolitan University, Tokyo, JapanFebruary 14, 2018 11:50

3. Discrete groups generated by complex reflections. Lecture 3V. L. PopovSixth school-conference on algebraic geometry and complex analysis for young russianmathematiciansAugust 26, 2017 09:00



6. What are the equations defining linear algebraic groups?V. L. Popov"Algebra, algebraic geometry, and number theory". Memorial conference foracademician Igor Rostislavovich ShafarevichJune 5, 2017 14:30

7. On Borel subgroups in the Cremona groupsV. L. PopovSeminar of the Department of Algebra and of the Department of Algebraic Geometry(Shafarevich Seminar)October 11, 2016 15:00

8. Around the Bass' Triangulability ProblemV. L. PopovInternational Cremona Conference, September 5--16, 2016, Basel, SwitzerlandSeptember 14, 2016 10:30

9. Triangulable subgroups of the Cremona groupsV. L. PopovInternational conference on algebraic geometry, complex analysis and computeralgebraAugust 7, 2016 12:00

10. Coordinate algebras of connected affine algebraic groups: generators and relationsV. L. PopovInternational Workshop "Hopf Algebras, Algebraic Groups and Related Structures",June 13-17, 2016, Memorial University of Newfoundland, St John's, NL, CanadaJune 14, 2016 15:00

11. On the equations defining affine algebraic groupsV. L. PopovThe third Russian-Chinese conference on complex analysis, algebra, algebraicgeometry and mathematical physicsMay 14, 2016 12:10

12. The equations defining algebraic groupsV. L. PopovTalk delivered at the Chebyshev Laboratory, St. Petersburg State UniversityDecember 24, 2015 11:00

13. Simple algebras and algebraic groupsV. L. PopovSeptember 16, 2015 13:30

14. Bass' problem on triangulable subgroups of the Cremona groupV. L. PopovMay 22, 2015 10:00

15. Invariant TheoryV. L. PopovMay 21, 2015 18:00

16. Algebraic subgroups of the Cremona groupsV. L. PopovInternational Scientific Session "Algebraic Geometry, Warsaw 1960-2015", on theoccasion of awarding the honorary doctorate of the University of Warsaw to ProfessorAndrzej Szczepan Bialynicki-Birula, March 19-20, 2015, Warshaw, PolandMarch 20, 2015 15:00


Стр. 16 из 21 13.08.2018, 9:13

17. About GrothendieckV. L. PopovMeeting "Alexander Grothendieck (1928--2014) and mathematics of XXth century" ofthe Section of Mathematics, Central House of Scientists of the RASFebruary 19, 2015 18:30

18. Jordan groupsV. L. PopovGeneral Mathematics Seminar of the St. Petersburg Division of Steklov Institute ofMathematics, Russian Academy of SciencesDecember 18, 2014 14:00

19. Closures of orbitsV. L. PopovSt. Petersburg Seminar on Representation Theory and Dynamical SystemsDecember 17, 2014 17:00

20. Simple algebras and invariants of linear actionsV. L. PopovSeminar of the Department of Algebra and of the Department of Algebraic Geometry(Shafarevich Seminar)November 18, 2014 15:00

21. Orbit closures of algebraic group actionsV. L. PopovInternational conference "Geometry, Topology and Integrability", October 20-25, 2014,Skolkovo Institute of Science and Technology, MoscowOctober 23, 2014 12:50

22. Orbit closuresV. L. PopovSeptember 16, 2014 09:00

23. Infinite dimensional automorphism groups of algebraic varieties, multiple transitivity,and unirationalityV. L. PopovJuly 17, 2014 14:00

24. Finite group actions on algebraic varieties: a “social” approachV. L. PopovJuly 10, 2014 10:00

25. Automorphism groups of algebraic varietiesV. L. PopovSteklov Mathematical Institute SeminarMarch 27, 2014 16:00

26. Quotients by conjugation action, cross-sections, singularities, and representation ringsV. L. PopovJanuary 20, 2014 15:00

27. Строение алгебраических подгрупп групп автоморфизмов алгебраическихмногообразий и, в частности, группы Кремоны V. L. PopovScientific session of the Steklov Mathematical Institute dedicated to the results of 2013November 20, 2013 10:20

28. Жордановы группы и группы автоморфизмов алгебраических многообразийV. L. PopovSeminar of the Department of Algebra and of the Department of Algebraic Geometry(Shafarevich Seminar)September 10, 2013 15:00

29. Grothendieck's questions on conjugating actions of semisimple groupsV. L. PopovInternational conference dedicated to the 90th anniversary of academician IgorRostislavovich ShafarevichJune 5, 2013 14:30

30. Algebraic groups and the Cremona groupV. L. PopovApril 9, 2013 10:20

31. Orbit closuresV. L. PopovMarch 6, 2013 11:30

32. Rational functions on semisimple Lie algebras and the Gelfand–Kirillov conjectureV. L. PopovJanuary 4, 2013 15:10

33. Tori in Cremona groupsV. L. PopovSecond one-day conference dedicated to the memory of V. A. IskovskikhDecember 27, 2012 12:30


Стр. 17 из 21 13.08.2018, 9:13

34. Simple algebras and the analogue of classical invariant theory for nonclassical groupsV. L. PopovInternational conference "Arithmetic as Geometry: Parshin Fest"November 29, 2012 15:00

35. Jordan groups and automorphism groups of algebraic varietiesV. L. PopovNovember 2, 2012

36. Rational functions on semisimple Lie algebras and the Gelfand–Kirillov ConjectureV. L. PopovOctober 2, 2012

37. 170 years of invariant theoryV. L. PopovSeptember 27, 2012

38. Coordinate algebras of algebraic groups: generators and relationsV. L. PopovSeptember 27, 2012

39. Rational functions on semisimple Lie algebras and the Gelfand–Kirillov ConjectureV. L. PopovSeptember 25, 2012

40. Tori in Cremona groupsV. L. PopovInternational conference "Essential Dimension and Cremona Groups", Chern Instituteof Mathematics, Nankai University, Tianjin, ChinaJune 12, 2012

41. 170 years of invariant theoryV. L. PopovColloquium talk at the Academy of Mathematics and Systems Science, ChineseAcademy of Sciences, Beijing, China.June 8, 2012 16:30

42. Rational actions on affine spacesV. L. PopovInternational conference "Birational and affine geometry"April 23, 2012 11:00

43. On the subgroups of the Cremona groupV. PopovSeminar of the Department of Algebra and of the Department of Algebraic Geometry(Shafarevich Seminar)April 3, 2012 15:00

44. Invariant rational functions on semisimple Lie algebras and the Gelfand–KirillovconjectureV. L. PopovInternational conference "Algebra and Mathematical Logic" dedicated to the 100-thbirthday of Professor V. V. MorozovSeptember 27, 2011 11:20

45. Cross-sections, quotients, and representation rings of semisimple algebraic groupsV. L. PopovColloque International, Journées Solstice d'été 2011, Institut de Mathématiques deJussieu, Université Paris-7 Denis Diderot, ParisJune 23, 2011 09:00

46. Discrete groups generated by complex reflectionsV. L. PopovInternational conference "GEOMETRY, TOPOLOGY, ALGEBRA and NUMBERTHEORY, APPLICATIONS" dedicated to the 120th anniversary of Boris Delone(1890–1980)August 17, 2010 14:00

47. Cross-sections, quotients, and representation rings of semisimple algebraic groupsV. L. PopovInternational Algebraic Conference dedicated to the 70th birthday of Anatoly Yakovlev,June 19–24, 2010, St. Petersburg, RussiaJune 19, 2010 09:30

48. Cayley groupsV. L. PopovInternational Workshop Non-Archimedean Analysis, Lie Groups and DynamicalSystems February 8-12, 2010, Paderborn, GermanyFebruary 8, 2010 14:50

49. Cross-sections, quotients, and representation rings of semisimple algebraic groupsV. L. PopovInternational Workshop Linear Algebraic Groups and Related Structures, BanffInternational Research Station for Mathematical Innovation and Discovery, Banff,Canada


Стр. 18 из 21 13.08.2018, 9:13

September 16, 2009 09:50

50. Cross-sections and quotients for the actions of semisimple algebraic groupsV. L. PopovInternational conference "Geometry of Algebraic Varieties" dedicated to the memory ofVasily Alexeevich IskovskikhJune 30, 2009 10:00

51. Two orbits: when is one in the closure of the other?V. L. PopovInternational conference Affine Algebraic Geometry in honour of Peter Russell, McGillUniversity, Montreal, CanadaJune 5, 2009 15:00

52. Algebraic groups and singularitiesV. L. PopovSummer School-Conference on Algebraic Geometry and Complex Analysis, YaroslavlMay 11, 2009

53. Two orbits: when is one in the closure of the other?V. L. PopovSeminar of the Department of AlgebraApril 28, 2009 15:00

54. Is the field of functions on the Lie algebra pure over the invariant subfield?V. L. PopovThe second annual conference-meeting MIAN–POMI "Algebra and AlgebraicGeometry"December 24, 2008 12:15

55. Describing the Hilbert cone of unstable pointsV. L. PopovInternational Conference Geometric Invariant Theory, Mathematisches Institut Georg-August-Universitat Gottingen, Gottingen, GermanyJune 2, 2008 09:30

56. Tensor product decompositions and open orbits in multiple flag varietiesV. L. PopovInternational Conference Lie Theory and Geometry. The Mathematical Legacy ofBertram Kostant, University of British Columbia, Vancouver, CanadaMay 23, 2008 14:30

57. One and a half centuries of invariant theoryV. L. PopovSteklov Mathematical Institute SeminarFebruary 28, 2008 16:00

58. Rationality of extensions of invariant fieldsV. L. PopovSeminar of the Department of AlgebraJanuary 29, 2008 15:00

59. One and a half centuries of Invariant TheoryV. L. PopovThe 2007 Collingwood Lecture, Durham University, Great BritainNovember 23, 2007 13:15

60. Finite linear groups, lattices, and products of elliptic curvesV. L. PopovInternational Algebraic Conference dedicated to the 100th anniversary ofD. K. FaddeevSeptember 25, 2007 11:00

61. Cayley groupsV. L. PopovInternational conference on algebra and number theory, dedicated to the 80thanniversary of V. E. Voskresensky, SamaraMay 22, 2007

62. Discrete groups generated by complex reflectionsV. L. PopovSeminar of the Department of AlgebraMarch 27, 2007 15:00

63. Generically transitive algebraic group actions, open orbits in multiple flag varieties, andtensor product decompositionsV. L. PopovSeminar of the Department of AlgebraJanuary 23, 2007 15:00

64. Quasihomogeneous affine threefoldsV. L. PopovInternational Conference Affine Algebraic Geometry, Oberwolfach, GermanyJanuary 7, 2007


Стр. 19 из 21 13.08.2018, 9:13

65. Generically multiple transitive algebraic group actionsV. L. PopovInternational conference Algebraic Geometry: Warsaw 1960-2005, Bedlęwo, PolandJune 8, 2006

66. Finite linear groups, lattices, and products of elliptic curvesV. L. PopovInternational Workshop Algebra and Geometry on the occasion of Norbert A'Campo's65th anniversary, ETH Zurich, SwitzerlandMay 18, 2006

67. 13th Hilbert problem and algebraic groupsV. L. PopovMeetings of the St. Petersburg Mathematical SocietyApril 18, 2006

68. Finite linear groups, lattices, and products of elliptic curves (joint work with Yu. G.Zarhin)V. L. PopovSeminar of the Department of AlgebraApril 4, 2006

69. Projective self-dual algebraic varieties and nilpotent orbitsV. L. PopovBuenos Aires Satellite Conference of the Lat Am Algebra Colloquium, BASCOLA,University of Buenos AiresAugust 10, 2005 11:00

70. Finite dimensional simple algebras and the analogue of classicalinvariant theory fornonclassical groupsV. L. PopovXVI Latin American Algebra Colloquium, Coloniadel Sacramento, UruguayAugust 7, 2005

71. Projective duality and nilpotent orbitsV. L. PopovSeminar of the Department of AlgebraApril 12, 2005

72. Generators and relations of algebras of regular functions of connected linear groupsV. L. PopovSeminar of the Department of AlgebraJanuary 18, 2005

73. Polynomial automorphismsV. L. PopovThe University of British Columbia, Mathematics DepartmentNovember 24, 2004 15:00

74. 150 years of Invariant TheoryV. L. PopovRed Raider Symposium 2004: Invariant Theory in Perspective Texas TechnicalUniversity, Lubbock TX, USANovember 11, 2004 10:00

75. Cayley groupsV. L. PopovInternational Conference Arithmetic Geometry, St. PetersburgJune 26, 2004

76. Проективно самодвойственные алгебраические многообразия и нильпотентныеорбитыV. L. PopovLie groups and invariant theoryMay 5, 2004 16:20

77. Cayley groupsV. L. PopovInternational Conference Commutative Algebra and Algebraic Geometry in honor ofProfessor Miyanishi, Osaka University, JapanMay 1, 2004

78. Cayley maps for algebraic groupsV. L. PopovInternational Colloquium Algebraic Groups and Homogeneous Spaces, Bombay, IndiaJanuary 6, 2004

79. Finite dimensional simple algebras and the analogue of classical invariant theory fornonclassical groupsV. L. PopovInternational workshop on Invariant Theory, Queen's University, Kingston, ON, CanadaApril 8, 2002


Стр. 20 из 21 13.08.2018, 9:13

80. Homogeneous spaces and the problems of groups actions and algebraic geometryV. L. PopovInternational Workshop Group Actions on Rational Varieties CRM, Montreal, CanadaFebruary 27, 2002 09:00

81. Hilbert 13th problem and algebraic groupsV. L. PopovMoscow mathematical societyApril 4, 2000

82. Algebraic group actions and rational singularitiesV. L. PopovInternational Workshop "Trends in Commutative Algebra", Indian Institute ofTechnology, Bombay, January 13–15, 2000January 14, 2000 09:00

83. Modern developments in invariant theoryV. L. PopovInternational Workshop "Trends in Commutative Algebra", Indian Institute ofTechnology, Bombay, January 13–15, 2000January 13, 2000 10:00

84. Algebraic groups of automorphisms of polynomial ringsV. L. PopovThéorie des Groupes', Colloque International, Journées Solstice d'été 1999June 8, 1999 15:15

85. Reductive subgroups of and V. L. PopovAlgebraische Gruppen, Mathematisches Forschungsinstitut Oberwolfach, Germany,05-11 April,1998April 7, 1998 11:00

86. Orbits of parabolic subgroup acting on its unipotent radicalV. L. PopovEinhüllende Algebren und Darstellungstheorie, Mathematisches ForschungsinstitutOberwolfach, Germany, 02.11–08.11.1997November 4, 1997 10:00

87. Kostant sectionsV. L. PopovColloque International "Groupes et Algèbres" Journées Solstice d'été, Institut deMathématiques de Jussieu, Université Paris-7 Denis Diderot, ParisJune 23, 1995

OrganisationsSteklov Mathematical Institute of Russian Academy of Sciences, MoscowNational Research University Higher School of Economics, MoscowMoscow Institute of Electronics and Mathematics — Higher School of EconomicsMoscow Mathematical Society

Contact us:Terms of Use Registration Logotypes © Steklov Mathematical Institute RAS, 2018


Стр. 21 из 21 13.08.2018, 9:13

Persons: Popov Vladimir Leonidovich · Editor of the series "Invariant Theory and Algebraic...

Documents

Transcript of Persons: Popov Vladimir Leonidovich · Editor of the series "Invariant Theory and Algebraic...