Non-Archimedean Analytic Geometry: Theory and Practice · Berkovich spaces Tropical geometry...

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http://gaatp.gaati.org/ Non-Archimedean Analytic Geometry: Theory and Practice 24–28 August 2015 Papeete, French Polynesia Scientific Committee Antoine Ducros (Paris) Jérôme Poineau (Caen) Johannes Nicaise (Leuven) Alexey Zykin (Polynesia) Main Topics: ▹ Singularities ▹ Berkovich spaces ▹ Tropical geometry ▹ Differential equations ▹ Ultrametric dynamics & Applications

Transcript of Non-Archimedean Analytic Geometry: Theory and Practice · Berkovich spaces Tropical geometry...

Page 1: Non-Archimedean Analytic Geometry: Theory and Practice · Berkovich spaces Tropical geometry Differential equations Ultrametric dynamics & Applications. e ržecÏnerclne A, ...

http://gaatp.gaati.org/

Non-Archimedean Analytic Geometry:Theory and Practice

24–28 August 2015Papeete, French Polynesia

Scientific Committee

Antoine Ducros (Paris) Jérôme Poineau (Caen) Johannes Nicaise (Leuven) Alexey Zykin (Polynesia)

Main Topics:▹ Singularities▹ Berkovich spaces▹ Tropical geometry▹ Differential equations▹ Ultrametric dynamics& Applications

Unconventional Finite Automata and Algorithms · Two-Way Finite Automata Ultrametric Finite Automata Counting With Automata Two-Way Frequency Automata Ultrametric Query Algorithms

Unconventional Finite Automata and Algorithms · Two-Way Finite Automata Ultrametric Finite Automata Counting With Automata Two-Way Frequency Automata Ultrametric Query Algorithms

Representation of Ultrametric Minimum Cost Spanning Tree ... · Title Representation of Ultrametric Minimum Cost Spanning Tree Games as Cost Allocation Games on Rooted Trees (Mathematical

Representation of Ultrametric Minimum Cost Spanning Tree ... · Title Representation of Ultrametric Minimum Cost Spanning Tree Games as Cost Allocation Games on Rooted Trees (Mathematical

Introduction Block-rectangular hierarchical matrices Ultrametric … · 2017-11-06 · Introduction Block-rectangular hierarchical matrices Ultrametric models in symbolic sequences

Introduction Block-rectangular hierarchical matrices Ultrametric … · 2017-11-06 · Introduction Block-rectangular hierarchical matrices Ultrametric models in symbolic sequences

PREPERIODIC POINTS AND UNLIKELY INTERSECTIONSdemarco/preperiodic.pdf · proof also makes use of Berkovich spaces and equidistribution. 1The Berkovich projective line P1 Berk,K is

PREPERIODIC POINTS AND UNLIKELY INTERSECTIONSdemarco/preperiodic.pdf · proof also makes use of Berkovich spaces and equidistribution. 1The Berkovich projective line P1 Berk,K is

Ultrametric Pseudodifferential Equations and Applications

Ultrametric Pseudodifferential Equations and Applications

ALGEBRAIC AND ANALYTIC GEOMETRY OVER THE FIELD OF …vova/Angeom_2012.pdf · ALGEBRAIC AND ANALYTIC GEOMETRY OVER THE FIELD OF ONE ELEMENT Vladimir G. BERKOVICH Department of Mathematics,

ALGEBRAIC AND ANALYTIC GEOMETRY OVER THE FIELD OF …vova/Angeom_2012.pdf · ALGEBRAIC AND ANALYTIC GEOMETRY OVER THE FIELD OF ONE ELEMENT Vladimir G. BERKOVICH Department of Mathematics,

Potential Theory and Dynamics on the Berkovich Projective Linepeople.math.gatech.edu/~mbaker/pdf/surv-159-baker... · Berkovich space analogues of the classical Fatou-Julia theory

Potential Theory and Dynamics on the Berkovich Projective Linepeople.math.gatech.edu/~mbaker/pdf/surv-159-baker... · Berkovich space analogues of the classical Fatou-Julia theory

Introductory Workshop: Model Theory, Arithmetic Geometry ... · theoretic applications: diophantine geometry, Berkovich spaces, and combinatorics. The goal of these tutorials was

Introductory Workshop: Model Theory, Arithmetic Geometry ... · theoretic applications: diophantine geometry, Berkovich spaces, and combinatorics. The goal of these tutorials was

An introduction to Berkovich analytic spaces and non ...swc.math.arizona.edu/aws/2007/BakerNotesMarch21.pdf · An introduction to Berkovich analytic spaces and non-archimedean potential

An introduction to Berkovich analytic spaces and non ...swc.math.arizona.edu/aws/2007/BakerNotesMarch21.pdf · An introduction to Berkovich analytic spaces and non-archimedean potential

The Berkovich Ramification Locus: Structure and Applicationsxander/lectures/ICERM_BerkTalk_Slides.pdf · The Berkovich ramification locus is the set R ϕ = {x ∈ P1: m ϕ(x) ≥

The Berkovich Ramification Locus: Structure and Applicationsxander/lectures/ICERM_BerkTalk_Slides.pdf · The Berkovich ramification locus is the set R ϕ = {x ∈ P1: m ϕ(x) ≥

Boundary Extraction in Natural Images Using Ultrametric Contour

Boundary Extraction in Natural Images Using Ultrametric Contour

vova/Algeom_2012.pdf · ALGEBRAIC AND ANALYTIC GEOMETRY OVER THE FIELD OF ONE ELEMENT Vladimir G. BERKOVICH Department of Mathematics, The Weizmann Institute of Science P.O.B. 26,

vova/Algeom_2012.pdf · ALGEBRAIC AND ANALYTIC GEOMETRY OVER THE FIELD OF ONE ELEMENT Vladimir G. BERKOVICH Department of Mathematics, The Weizmann Institute of Science P.O.B. 26,

Hyperstability of cubic functional equation in ultrametric spaces...Hyperstability of cubic functional equation in ultrametric spaces 465 Thanks to a result due to J. Brzd¸ek and

Hyperstability of cubic functional equation in ultrametric spaces...Hyperstability of cubic functional equation in ultrametric spaces 465 Thanks to a result due to J. Brzd¸ek and

Mutations, Phylogeny, and Tandem Repeats...years 1 4 2 3 5 The molecular clock results in ultrametric distances Definition: A distance function d(.,.) is ultrametric if for any three

Mutations, Phylogeny, and Tandem Repeats...years 1 4 2 3 5 The molecular clock results in ultrametric distances Definition: A distance function d(.,.) is ultrametric if for any three

SPECTRAL THEORY AND ANALYTIC GEOMETRY OVER NON …Berkovich, Vladimir G. Spectral theory and analytic geometry over non-Archimedean fields/Vladimir G. Berkovich. p. cm.—(Mathematical

SPECTRAL THEORY AND ANALYTIC GEOMETRY OVER NON …Berkovich, Vladimir G. Spectral theory and analytic geometry over non-Archimedean fields/Vladimir G. Berkovich. p. cm.—(Mathematical

Ultrametric Semantics of Reactive Programs€¦ · Ultrametric Semantics of Reactive Programs Neelakantan R. Krishnaswami Microsoft Research Nick Benton

Ultrametric Semantics of Reactive Programs€¦ · Ultrametric Semantics of Reactive Programs Neelakantan R. Krishnaswami Microsoft Research Nick Benton

Boundary Extraction in Natural Images Using Ultrametric Contour Maps

Boundary Extraction in Natural Images Using Ultrametric Contour Maps

Potential Theory on the Berkovich Projective Line - Department of

Potential Theory on the Berkovich Projective Line - Department of

Topology and Geometry of the Berkovich Rami cation …xander/papers/BerkRamI.pdfTopology and Geometry of the Berkovich Rami cation Locus for Rational Functions Xander Faber Department

Topology and Geometry of the Berkovich Rami cation …xander/papers/BerkRamI.pdfTopology and Geometry of the Berkovich Rami cation Locus for Rational Functions Xander Faber Department

Graphs and Arithmetic Geometry - Peoplepeople.math.gatech.edu/~mbaker/pdf/JA2009.pdftheory on Berkovich curves Graphs and Arithmetic Geometry Matthew Baker Georgia Institute of Technology

Graphs and Arithmetic Geometry - Peoplepeople.math.gatech.edu/~mbaker/pdf/JA2009.pdftheory on Berkovich curves Graphs and Arithmetic Geometry Matthew Baker Georgia Institute of Technology