The 2016 Xiamen International Conference on Partial...

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The 2016 Xiamen International Conference on Partial Differential Equations and Applications 厦门大学数学科学学院 2016 6 14 日—6 18

Transcript of The 2016 Xiamen International Conference on Partial...

Page 1: The 2016 Xiamen International Conference on Partial ...math.xmu.edu.cn/conference/2016pdea/cm.pdf · hypersurfaces in Riemannian manifolds 12:30-14:30 午餐、休息 下午14:30-16:05,学术报告,主持人,Yanyan

The 2016 Xiamen International Conference on

Partial Differential Equations and Applications

厦门大学数学科学学院

2016 年 6 月 14 日—6 月 18 日

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Scientific Committee:

Luis Caffarelli (University of Texas)

Alice S.-Y. Chang (Princeton University)

Kung-Ching Chang (Peking University)

Lawrence C. Evans (UC Berkeley)

Avner Friedman (Ohio State University)

Jiaxing Hong (Fudan University)

Chang-Shou Lin ((National Taiwan University)

Fanghua Lin (Courant Institute, New York University)

Richard Schoen (Stanford University and University of California Irvine)

Organizational Committee:

Bo Guan (Ohio State University and Xiamen University)

Yanan Lin (Xiamen University)

Chunhui Qiu (Xiamen University)

Zhong Tan (Xiamen University)

Chao Xia (Xiamen University)

Yisong Yang (Polytechnic Institute of New York University)

Jianwen Zhang (Xiamen University)

Sponsors:

School of Mathematical Sciences, Xiamen University

The Recruitment Program of Global Experts

会务人员联系方式:

分工 姓名 联系电话

报到、交通 郭淑敏 13400785041

会场、多媒体 林 煜 18959219403

住宿、用餐 林智雄 13599916563

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一、 日程表

6 月 14 日

15:30-20:00 注册报到,逸夫楼大堂

17:00-19:00 用餐,勤业餐厅三楼自助餐(报到处取餐券)

6 月 15 日,海韵园数学物理大楼 117

8:25 逸夫楼大堂集合,统一乘车去会场

8:50-9:00 开幕式

上午 9:00-12:30,学术报告,主持人,Yisong Yang

9:00-9:45 Joel Spruck(Johns Hopkins University)Self-shrinkers to the mean

curvature flow asymptotic to an isoparametric cone

9:50-10:35 Harold Rosenberg(IMPA, Brazil)Minimal surfaces in closed and

finite volume hyperbolic 3-manifolds

10:35-10:55 茶歇

上午 10:55-12:30,学术报告,主持人,Xujia Wang

10:55-11:40 Paul Yang(Princeton University)Fourth order equations in

conformal and CR geometry

11:45-12:30 Pengfei Guan(McGill University)Regularity of immersed

hypersurfaces in Riemannian manifolds

12:30-14:30 午餐、休息

下午 14:30-16:05,学术报告,主持人,Yanyan Li

14:30-15:15 Alice S.-Y. Chang(Princeton University)Boundary type GJMS

operators

15:20-16:05 Jixiang Fu(Fudan University) Some results on positivity in Kahler geometry

16:05-16:25 茶歇

下午 16:25-18:00,学术报告,主持人,Gongbao Li

16:25-17:10 Yanyan Li(Rutgers University)Symmetry, quantitative Liouville theorems and analysis of large solutions of conformally invariant fully nonlinear elliptic equations

17:15-18:00 Xiaohua Zhu(Peking University) Properness of F-functional

18:10 海韵园门口统一乘车前往佳丽海鲜餐厅用餐

20:30 佳丽海鲜餐厅门口统一乘车回酒店

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6 月 16 日,海韵园数学物理大楼 117

8:30-8:50 科学艺术中心门口合影

8:50 科学艺术中心门口统一乘车去会场

上午 9:30-10:15,学术报告,主持人,Pengfei Guan

9:30-10:15 Chang-Shou Lin(Taiwan University)Multiple Green function and

Lame equation

10:15-10:35 茶歇

上午 10:35-12:10,学术报告,主持人,Changshou Lin

10:35-11:20 Lihe Wang(University of Iowa)Geometric capacity of sets and

regularity

11:25-12:10 Robert Gulliver(University of Minnesota) Immersed minimal

surfaces,orientable or nonorientable

12:10-14:30 午餐、休息

下午 14:30-18:00,学术报告,主持人,Paul Yang

14:30-15:15 Fanghua Lin(New York University)Superfluid passing an

obstacle---Nucleation of vortices

15:20-16:05 Changyou Wang(Purdue University)Global estimates and bubbling

analysis of approximate harmonic maps in dimension two

16:05-16:25 茶歇

下午 16:25-18:00,学术报告,主持人,Fanghua Lin

16:25-17:10 Yu Yuan(University of Washington)Special Lagrangian equations

17:15-18:00 Xinan Ma(University of Science and Technology of China)Neumann

boundary value problem for Hessian equations on convex domain

18:00 步行前往海韵大丰园二楼用餐,餐后步行回酒店

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6 月 17 日,海韵园数学物理大楼 117

8:30 逸夫楼门口统一乘车去会场

上午 9:00-10:35,学术报告,主持人,Robert Hardt

9:00-9:45

Richard Schoen(Stanford University and University of California Irvine)Metrics of fixed area on high genus surfaces with largest

first eigenvalue

9:50-10:35 Ling Xiao(Rutgers University)Motion of level sets by general

curvature flow

10:35-10:55 茶歇

上午 10:55-12:30,学术报告,主持人,Lihe Wang

10:55-11:40 Xujia Wang(Australian National University)Monge-Ampere

equations arising in geometric optics

11:45-12:30 Huaiyu Jian(Tsinghua University) Regularity analysis for a class of singular elliptic equation

12:30-14:30 午餐、休息

下午 14:30-16:05,学术报告,主持人,Zhong Tan

14:30-15:15 Robert Hardt(Rice University)A linear isoperimetric inequality

for algebraic and analytic varieties

15:20-16:05 Qing Han(University of Notre Dame) Singular solutions of Yamabe equation

18:30 逸夫楼(住宿酒店)用餐

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学术报告题目与摘要

Boundary type GJMS operators Sun-Yung Alice Chang (Princeton University)

Abstract:We will discuss the connection between the study of non-local operators on

Euclidean space to the study of a class of fractional GJMS operators in conformal geometry.

The emphasis is on the study of a class of fourth order operators and their third order

boundary operators. We will also discuss geometry tools (e.g. met-ric with measures), the

positivity property and Sobolev trace inequalities associated with these operators via

extension theorems. This is a report of joint works with Jeffrey Case, and separately with

Antonio Ache.

Some results on positivity in Kahler geometry

Jixiang Fu (Fudan University)

Abstract: We will talk about the relations between the balanced cone and the Kahler cone of a

Kahler manifold, and also talk about Teissier's problem on proportionality of nef and big

classes over a compact Kahler manifold. These are joint works with Xiao Jian.

Regularity of immersed hypersurfaces in Riemannian manifolds Pengfei Guan( McGill University)

Abstract: We discuss recent joint work with Siyuan Lu on mean curvature estimate for

immersed hypersurfaces with nonnegative extrinsic scalar curvature in general ambient space.

Such estimate is related to the Weyl's isometric embedding problem in problem in

3-dimensional Riemannian manifolds. The focus is a degenerate scalar curvature type

equation.

The equation is similar to the prescribing curvature equations considered by

Caffarelli-Nirenberg-Spruck, except that the prescribed curvature function also depends on

the normal of

the surfaces in addition. These type of equations were treated by Guan-Ren-Wang for

starshaped surfaces in $R^{n+1}$ and by Spruck-Xiao in space forms. We will discuss how

to establish mean curvature estimate in general Riemannian setting without starshapedness

assumption using intrinsic geometry. We also deal with the degenerate case. If time allows,

we will discuss applications to isometric embedding problems and some open problems.

Immersed Minimal Surfaces,Orientable or Nonorientable

Robert Gulliver( University of Minnesota)'

Abstract: Minimal surfaces in a Riemannian manifold Mn are surfaces which are stationary

for area: the first variation of area vanishes. In this talk we focus on the" false branch point

problem" for minimal surfaces :Σ→M which are of a prescribed topological type, either

orientable or nonorientable, mapping Σone-to-one onto a given union of Jordan curves. We

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shall show that an area-minimizing surface factors through an unramified branched

immersion ′:Σ′→M via a branched covering :Σ→Σ′. In the case n = 3 of codimension one, it

follows that ′ is an immersion on the interior of Σ′.Further, Σ′ will be a surface of lower

topological type.

Jesse Douglas in 1939 proved the existence of a minimal surface of a given topological type

having smallest area among surfaces of that type,mapping the boundary homeomorphically to

a given disjoint union of Jordan curves, assuming the “Douglas hypothesis” that surfaces of

lower topological type with boundary have strictly larger area. It follows from the result

stated above that such a minimizing map will be unrami_ed, and in the case n = 3, an

immersion.

In all cases, whether or not the Douglas hypothesis holds, any areaminimizing mapping :Σ→

M 3 defines an immersed surface with smallest area, bounded by the given con_guration of

curves, possibly a surface of lower topological type.

Singular solutions of Yamabe equation

Qing Han (University of Notre Dame)

Abstract:In a classical paper, Cafferelli, Gidas and Spruck discussed positive solutions of the

Yamabe equation, corresponding to the positive scalar curvature of the conformal metrics,

with a nonremovable isolated singularity. They proved that solutions are asymptotic to radial

singular solutions. Korevaar, Mazzeo, Pacard, and Schoen expanded solutions to the next

order. In this talk, we discuss how to expand solutions up to arbitrary order. We also discuss

positive solutions of the Yamabe equation, corresponding to the negative scalar curvature of

the conformal metrics, that become singular in an (n-1)-dimensional set.

A Linear Isoperimetric Inequality for Algebraic and Analytic Varieties

Robert Hardt( Rice University)

Abstract: In R^n, the classical n dimensional isoperimetric inequality bounds the volume of

any smooth region U by c_n [ H^{n-1}(Bdry U)]^n/(n-1) , where c_n is the constant giving

equality with U being an n all. In higher codimension, any integral k-1 cycle B in R^n with k

< n , is the boundary of some k chain T with mass(T) \leq c_k mass(B)^ k/(k-1) . Inside an

ambient space X like a complete Riemannian manifold, polyhedral complex, or more

generally Euclidean Lipschitz neighborhood retract, every integral boundary bounds some

chain satisfying such an isoperimetric inequality with constant C_X depending on X. This

relation may fail for singular spaces X with cusps like algebraic varieties. With T. DePauw,

we prove a linear isoperimetric inequality valid for cycles of any dimension in a compact set

X defined by polynomial or real analytic equalities or inequalities. This generalizes earlier

work on codimension one boundaries by L.Bos -P.Milman and B.Hua-FH.Lin.

Regularity Analysis for A Class of Singular Elliptic Equation

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Huaiyu Jian( Tsinghua University)

Abstract: This talk is based on the recent joint works with Xu-Jia Wang at ANU, etc. We

prove the optimal regularity and establish an asymptotic expansion near the boundary for

solutions to the Dirichlet problem of elliptic equations with singularities near the

boundary.The equations we dealt with include equations from Geometry(Minimal graphs in

hyperbolic space, Loewner-Nirenberg problem and hyperbolic affine sphere) as well as from

Singualr Stochastic control.

Symmetry, quantitative Liouville theorems and analysis of large solutions of

conformally invariant fully nonlinear elliptic equations Yanyan Li( Rutgers University)

Abstract:We establish blow-up profiles for any blowing-up sequence of solutions of general

conformally invariant fully nonlinear elliptic equations on Euclidean domains. We prove that

(i) the distance between blow-up points is bounded from below by a universal positive

number, (ii) the solutions are very close to a single standard bubble in a universal positive

distance around each blow-up point, and (iii) the heights of these bubbles are comparable by a

universal factor. As an application of this result, we establish a quantitative Liouville theorem.

This is a joint work with Luc Nguyen.

Multiple Green function and Lame equation.

Chang-Shou Lin (Taiwan University)

Abstract: How to study the geometry of a flat torus? From the analytical point of view, there

seem two simplest ways to begin with. One is the Green function and the other one is the

Lam´e equation (a linear second order ODE in complex variable). Surprisingly, these two are

deeply related to each other. In this talk, I will report the first page of the story.

Superfluid passing an obstacle---Nucleation of Vortices

Fanghua Lin (New York University)

Abstract:The problem of classical (compressible) fluids passing an obstacle was well-known and studied

by many. Roughly speaking, when the velocity of the fluid is small, the flow would be smooth

and nothing much would occur(subsonic region). When the fluid velocity is very large, there

are shocks and the fluids become rather turbulent and mathematically hard to describe

(supersonic). In between, there is a critical speed at which the fluid reach the maximum speed

(sound speed for the fluid) at the boundary of the obstacle.

Since a superfluid by definition is frictionless, hence it would not develop shocks. On the

other hand, formal arguments imply that the long-wave approximations of superfluid flows

(semiclassical limits) would be a classical flow described by the compressible Euler equations.

The latter may develop shocks however. A natural question is: how would one explain

superfluid flows then? Reasonings from physics which were also supported by various

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numerical simulations lead to the so-called vortex nucleations. The aim of this talk is to

present a recent joint work with Jun-Cheng Wei on this problem.

Neumann Boundary Value Problem for Hessian Equations on Convex

Domain in R^n Xinan Ma( University of Science and Technology of China)

Abstract:For the Dirichlet problem on the k- Hessian equation, Caffarelli-Nirenberg-Spruck

(1986) obtained the existence of the admissible classical solution when the smooth domain is

strictly k-1 convex in R^n. In this talk, we prove the existence of a classical admissible

solution to a class of Neumann boundary value problems for k Hessian equations in strictly

convex domain in R^n, this was asked by Prof. N. Trudinger in 1987. The methods

depends upon the establishment of a priori derivative estimates up to second order. This is

the joint work with Qiu Guohuan.

Minimal surfaces in closed and finite volume hyperbolic 3-manifolds.

Harold Rosenberg (IMPA, Brazil)

Abstract: I will discuss several results. Laurent Mazet and I proved there exists a closed

embedded minimal surface in a finite volume hyperbolic 3-manifold. When the Heegard

genus of the manifold is at least 6, we show the area of the minimal surface is at least 2π.

Ths is also true in closed hyperbolic 3-manifolds.

Laurent Hauswirth, Pascal Collin and I proved that a properly immersed minmal surface of

finite topology in a finite volume hyperbolic 3-manifold has total curvature 2π times its Euler

characteristic. We show the annular ends are asymptotic to totally geodesic cusp ends.

I will discuss examples.

Metrics of fixed area on high genus surfaces with largest first eigenvalue

Richard Schoen( Stanford University and University of California Irvine)

Abstract:We will describe the problem of maximizing the first eigenvalue on a closed surface

among metrics of a fixed area. This is a nonlocal geometric variational problem whose

solutions arise as the induced metrics on certain minimal immersions of the surface into a

sphere. We will explain a very general existence theorem and describe questions related to the

geometry of the solutions

Self-shrinkers to the mean curvature flow asymptotic to an isoparametric

cone Joel Spruck( Johns Hopkins University)

Abstract: We call a cone C in $R^{n+1}$ an {\em isoparametric cone} if C is the cone

over a compact embedded isoparametric hypersurface in $ \bf{S}^n$. The theory of

isoparametic hypersurfaces in $\bf{S}^n$ is extremely rich and there are infinitely many

distinct classes of examples, each with infinitely many members. In this talk I will construct

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the unique embedded end of a self-similar shrinking solution of the mean curvature flow

asymptotic to an isoparametric cone C.

Global estimates and bubbling analysis of approximate harmonic maps in

dimension two. Changyou Wang( Purdue University)

Abstract:In this talk, I will discuss the global $W^{2,1}$-estimates for approximate harmonic

maps in two dimension, whose tension fields belong to $L\log L$ and the Morrey space

$M^{1,a}$ for some $0\le a<2$, and the bubbling phenomena for weakly convergent

sequences of such approximate harmonic maps, including both $L^{2}$ and

$L^{2,1}$ identity for their gradients, the $L^1$-identity for their hessians, and the

oscillation identity of the maps.

Geometric Capacity of sets and regularity

Lihe Wang( University of Iowa)

Abstract: We will study a version of capacity and its rigidity with applications to the

regularity of sets.Particularly we will show that if a set has the geometric capacity properties

of that of the half space then it has to be the half space.Applications to the regularity of sets

are also discussed.

Monge-Ampere equations arising in geometric optics

Xu-Jia Wang( Australian National University)

Abstract:We discuss a Monge-Ampere type equation arising in geometric optics,in the design

of a reflection surface such as the reflector antenna.

An interesting phenomenon is that the regularity of the reflection surface depends not only on

the light distributions but also on the position of reflector, and the position and curvatures of

the object. It was also discovered that the design of reflection surface is a linear optimisation

problem in the far field case;and a nonlinear optimisation problem in the near field case.

Motion of level sets by general curvature flow

Ling Xiao (Rutgers University)

Abstract: In this talk, I will first recall some classic results of level set mean curvature flow

obtained by Evans and Spruck in the 90s'. Then, I will talk about some related interesting

results people have obtained through these years. Finally, I will talk about my results on level

set general curvature flow, including an existence theorem and a non-collapsing theorem.

Fourth order equations in conformal and CR geometry

Paul Yang( Princeton University)

Abstract:The 4th-order Q-curvature equation has some progress in dimensions other than four,

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in particular the sign of its greens function can be determined under conformally invariant

conditions. I will also report on some progress on the Q-prime curvature equation in CR

geometry.

Special Lagrangian equations

Yu Yuan( University of Washington)

Abstract:We survey some new and old, positive and negative results on a priori estimates,

regularity, and rigidity for special Lagrangian equations with or without certain convexity.

The "gradient" graphs of solutions are minimal or maximal Lagrangian submanifolds,

respectively in Euclidean or pseudo-Euclidean spaces. In the latter pseudo-Euclidean setting,

these equations are just Monge-Ampere equations. Development on the parabolic side

(Lagrangian mean curvature flows) will also be mentioned.

Properness of F-functional.

Xiaohua Zhu (Peking University)

Abstract:F-functional plays an important role in the study of K-stability of Kaehler

manifolds.In 1997, Tian gave an approach to prove Properness of F-functional by using a

smooth lemma from Ricci flow.In this talk, we give another proof of Tian's result by using

the regularity of complex Monge-Ampere equation. This is a joint work with Tian.

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参会人员名单

姓名 单位 联系方式

Alice S.-Y. Chang Princeton University [email protected]

Jixiang Fu Fudan University [email protected]

Pengfei Guan McGill University [email protected]

Robert Gulliver University of Minnesota [email protected]

Qing Han University of Notre Dame [email protected]

Robert Hardt Rice University [email protected]

Huaiyu Jian Tsinghua University [email protected]

Yanyan Li Rutgers University [email protected]

Chang-Shou Lin Taiwan University [email protected]

Fanghua Lin New York University [email protected]

Xinan Ma USTC [email protected]

Harold Rosenberg IMPA, Brazil [email protected]

Richard Schoen

Stanford University and

University of California

Irvine

[email protected]

Joel Spruck Johns Hopkins University

Changyou Wang Purdue University [email protected]

Lihe Wang University of Iowa

Xu-Jia Wang Australian National

University [email protected]

Ling Xiao Rutgers University [email protected]

Paul Yang Princeton University [email protected]

Yisong Yang New York University [email protected]

Yu Yuan University of Washington [email protected]

Xiaohua Zhu Peking University [email protected]

李工宝 华中师范大学 [email protected]

Guoyi Xu Tsinghua University

Jiakun Liu University of Wollongang

Hao Yin University of Science and

Technology of China

Gang Liu Univertiy of Califorlia,

Berkeley

Longzhi Lin Univertiy of Califorlia,

Santa Cruz

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Qi Ding

Shanghai Center for

Mathematical Sciences, Fudan

University

Xiaoli Han Tsinghua University

Zhou Zhang University of Sydney

Xuezhang Chen Nanjing University

Jian Ge Peking University

Bo Wang Rutgers University &Beijing

Normal University

Lu Wang University of

Wisconsin-Madison

Huichun Zhang Sun Yat-sen University

Zhenlei Zhang Capital Normal University

Fang Wang 上海交大 [email protected]

Tang Lang 华中师范大学 [email protected]

Mao-Pei Tsui [email protected]

袁伟 中山大学 [email protected]

刘艳楠 北京工商大学 [email protected]

鞠红杰 北京邮电大学 [email protected]

纪德生 黑龙江大学 [email protected]

曾令忠 江西师范大学 [email protected]

朱鹏 江苏理工学院 [email protected]

金亚东 江苏理工学院

方守文 扬州大学 [email protected]

周久儒 扬州大学 [email protected]

郭宇潇 哈尔滨工业大学(威海) [email protected]

牛犇 哈尔滨工业大学(威海) [email protected]

黄勇 湖南大学 [email protected]

徐璐 湖南大学 [email protected]

鲁建 浙江工业大学 [email protected]

陈传强 浙江工业大学 [email protected]

侍述军 哈尔滨师范大学 [email protected]

华波波 复旦大学 [email protected]

王培合 曲阜师范大学 [email protected]

矫贺明 哈尔滨工业大学 [email protected]

李贯锋 哈尔滨工业大学 [email protected]

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王志张 复旦大学 [email protected]

向 妮 湖北大学数学与统计学学院 [email protected]

张德凯 中国科学技术大学 [email protected]

邓 斌 中国科学技术大学 [email protected]

韦 韡 中国科学技术大学 [email protected]

贾晓含 中国科学技术大学 [email protected]

翁良俊 中国科学技术大学 [email protected]

杨丰瑞 中国科学技术大学 [email protected]

张永兵 中国科学技术大学 [email protected]

林可 重庆大学 [email protected]

姚宪忠 重庆大学数学与统计学院 [email protected]

Heayong Shin 韩国 Chung Ang University [email protected]

徐夫义 山东理工大学 [email protected]

李东升 西安交通大学 [email protected]

李春和 复旦大学 [email protected]

康军军 华中科技大学 [email protected]

于洋海 华中科技大学 [email protected]

汤燕斌 华中科技大学 [email protected]

吴星 华中科技大学 [email protected]

田蓉蓉 华中科技大学 [email protected]

叶运华 嘉应学院数学学院 [email protected]

巫伟亮 嘉应学院数学学院 [email protected]

Seongtag Kim Inha University [email protected]

Kai Shao New York University [email protected]

赵杰 中原工学院 [email protected]

张凯 西安交通大学 [email protected]

Kai-Wei Zhao 台湾大学 [email protected]

张伟 兰州大学 [email protected]

董伟松 哈尔滨工业大学 [email protected]

崔庆 西南交通大学 [email protected]

任长宇 吉林大学 [email protected]

马飞遥 宁波大学数学系 [email protected]

沃维丰 宁波大学数学系 [email protected]

董荣 西安交通大学 [email protected]

冯晓萌 西安交通大学 [email protected]

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李彩燕 西安交通大学 [email protected]

马姗姗 西安交通大学 [email protected]

周爽 中南财经政法大学 [email protected]

黃垣熊 台湾大学 [email protected]

Wei-Bo Su 台湾大学 [email protected]

何跃 南京师范大学 [email protected]

张宏 新加坡国立大学 [email protected]

韩菲 新疆师范大学 [email protected]

王小六 东南大学 [email protected]

杨奇林 中山大学 [email protected]

王琦 中南财经政法大学 [email protected]

Huihuang Zhou 上海交大 [email protected]

廖乃安 重庆大学数学与统计学院 [email protected]

李栋浩 华中科技大学 [email protected]

李罡 华中科技大学 [email protected]

张华丽 复旦大学 [email protected]

孙玉华 南开大学 [email protected]

郭顺滋 四川大学 [email protected]

艾万君

陈优民

Jianyu Ou 澳门大学 [email protected]

冯仁杰 北京大学 [email protected]

关波 厦门大学 [email protected]

谭忠 厦门大学 [email protected]

邱春晖 厦门大学 [email protected]

张剑文 厦门大学 [email protected]

夏超 厦门大学 [email protected]

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厦门大学本部示意图

厦门大学海韵园示意图

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交通提示 一、进出厦门大学校门办法: 1、报到当天:①打印出会议通知,凭会议通知进校门;②用手机调出会议通知的邮件,

将邮件给保安看。 2、会议期间:凭代表证进出校门。

二、的士及公交乘车提醒 1、厦门大学海韵园(会场)→机场 T4 候机楼:

①、乘坐的士:约 50 元; ②、乘坐公交车:厦门大学海韵园门口“海韵”站乘坐旅游 2 线至“火车站”,换

乘 BRT 快 1 线至“高崎 T4 候机楼站”下车。 2、厦门大学海韵园(会场)→机场 T3 候机楼:

①、乘坐的士:约 50 元; ②、乘坐公交车:厦门大学海韵园门口“海韵站”乘坐旅游 2 线至“火车站”,换

乘 BRT 快 1 线至“县后站”下车,换乘 L19 路至“高崎 T3 候机楼站”下车。 3、厦门大学海韵园(会场)→火车站(厦门岛内):

①、乘坐的士:约 20 元; ②、乘坐公交车:厦门大学海韵园门口“海韵站”乘坐旅游 2 线至“火车站南广场”。

4、厦门大学海韵园(会场)→厦门北站(岛外) ①、乘坐的士:约 80 元; ②、乘坐公交车:厦门大学海韵园门口“海韵”站乘坐旅游 2 线至“火车站”,换

乘 BRT 快 1 线至“厦门北站”下车。

5、厦门大学国际学术交流中心(酒店)→机场T4候机楼: ①、乘坐的士:约 55 元; ②、乘坐公交车:“厦大南门(南普陀)”乘坐 45 路或 841 路至“思北路口”站,

换乘 BRT 快 1 线至“县后站”下车,换乘 L19 路至“高崎 T3 候机楼站”下车。

6、厦门大学国际学术交流中心(酒店)→机场T3候机楼: ①、乘坐的士:约 50 元; ②、乘坐公交车:“厦大南门(南普陀)”乘坐 45 路或 841 路至“思北路口”站,

换乘 BRT 快 1 线至“县后站”下车,换乘 L19 路至“高崎 T3 候机楼站”下车。

7、厦门大学国际学术交流中心(酒店)→火车站(厦门岛内): ①、乘坐的士:约 20 元; ②、乘坐公交:厦门大学南校门口“厦大南门(南普陀)”站乘坐 1 路至“火车站

南广场”站下车。

8、厦门大学国际学术交流中心(酒店)→厦门北站(岛外) ①、乘坐的士:约 90 元; ②、乘坐公交:厦门大学西校门口“厦大西村”站乘坐 943 路直达“厦门北站”,

或,“厦大南门(南普陀)”乘坐 45 路或 841 路至“思北路口”站,换乘 BRT 快 1 线至

“厦门北站”下车。

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厦门大学简介

厦门大学(Xiamen University),简称厦大(XMU),由著名爱国华侨领袖陈嘉庚先

生于1921年创办,是中国近代教育史上第一所华侨创办的大学,也是国家“211工程”

和“985工程”重点建设的高水平大学。

建校以来,学校秉承“自强不息,止于至善”的校训,积累了丰富的办学经验,形

成了鲜明的办学特色,成为一所学科门类齐全、师资力量雄厚、居国内一流、在国际上

有广泛影响的综合性大学。建校迄今,已先后为国家培养了30多万名本科生和研究生,

在厦大学习、工作过的两院院士达60多人。

学校设有研究生院、6个学部以及27个学院(含76个系)和14个研究院,形成了包

括人文科学、社会科学、自然科学、工程与技术科学、管理科学、艺术科学、医学科学

等学科门类在内的完备学科体系。学校现有9个学科进入ESI全球前1%,拥有5个一级学

科国家重点学科和9个二级学科国家重点学科(涵盖38个二级国家重点学科),46个福建

省一级学科重点学科,9个国家基础科学人才培养基地。拥有31个博士后流动站,31个

博士学位授权一级学科,50个硕士学位授权一级学科,9个交叉学科专业授权点;23个

专业学位授权点。

学校现有专任教师2541人,其中,教授、副教授1779人,占专任教师总数的70.0%

(下同),拥有博士学位的2012人,占79.2%。学校共有两院院士22人(含双聘院士9人),

中央“千人计划”入选者59人(含“青年千人计划”入选者25人),“973计划”和重大

科学研究计划项目首席科学家8人,国家自然科学基金委员会委员1人,国务院学科评议

组成员12人,国家级有突出贡献的专家14人,“长江学者”特聘教授17人、讲座教授17

人,“万人计划”科技创新领军人才3人、哲学社会科学领军人才1人、青年拔尖人才6人,

列入国家百千万人才工程人选19人,国家杰出青年科学基金获得者38人;全国高校教学

名师奖获得者6人;国家基金委创新研究群体6个、教育部创新团队9个,高等学校学科

创新引智基地(“111计划”)6个。

学校现有在校学生近40000余人(含海外学历留学生1657人),其中本科生19739人,

硕士研究生16875人,博士研究生3164人,本研比为0.99:1。学校获第五、六、七届(2005、

2009、2014年)国家级高等教育教学成果一等奖3项、二等奖17项,名列全国高校前茅;

30门课程入选全国“精品课程”,6个国家级实验教学示范中心;12篇论文入选“全国百

篇优秀博士学位论文”。厦大毕业生是 受社会欢迎的群体之一,年均就业率保持在95%

以上。

学校设有200多个研究机构,其中国家级协同创新中心2个,国家重点实验室4个,

国家工程实验室1个,国家工程技术研究中心1个,国家地方联合工程实验室3个,教育

部重点实验室5个,教育部工程研究中心3个,教育部人文社科重点研究基地5个。厦门

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大学国家大学科技园是福建省内仅有的两个经科技部、教育部认定的国家级大学科技园

之一。“十二五”以来,学校自然科学科研实力大幅提升,在《科学》、《自然》、《细胞》

及其子刊等国际高水平学术期刊上发表论文50余篇;获国家自然科学二等奖4项,获教

育部自然科学一等奖1项、二等奖3项;1项成果入选“中国科学十大进展”,2项成果入

选“中国高校十大科技进展”,1项成果获中国专利金奖。学校人文社会学科研究实力雄

厚,共承担国家社科基金项目174项(其中国家社科基金重大项目15项),教育部哲社研

究重大课题攻关项目10项;32项成果获教育部第六届、第七届高等学校科学研究优秀成

果奖(人文社会科学),其中一等奖3项;厦门大学在台湾研究、南洋研究、高教研究、

经济研究、会计研究、南海研究等领域已经形成自身特色,实力居国内高校前列。2015

年,学校科研经费近10.88亿元。

学校对外交流与合作深入开展,已与境外300多所高校签署了校际合作协议,与39

所世界排名前200名的高校开展实质性交流合作。积极参与汉语国际推广工作,已与北

美洲、欧洲、亚洲、非洲等地区的大学合作建立了16所孔子学院,并获批建设“孔子学

院院长学院”。在对台交流方面,学校具有得天独厚的地理条件和难以替代的人文优势,

已成为台湾研究的重镇和两岸学术、文化交流的前沿。2014年7月,厦门大学马来西亚

分校开工建设,学校成为我国第一个在海外建设独立校园的大学。2016年2月22日,厦

门大学马来西亚分校举行首批新生开学典礼。

学校拥有完善的教学、科研设备和公共服务体系。目前学校占地近9000亩,其中思

明校区位于厦门岛南端,占地2600多亩,漳州校区占地2500多亩,翔安校区占地3600多

亩,校舍建筑总面积190多万平方米,图书馆馆藏纸质图书总量440多万册、电子图书

1072GB,固定资产总值84.55亿元,仪器设备总值25.29亿元;拥有7家附属医院。校园

高速信息网络建设的规模、水平居全国高校前列并成为CERNET2的核心节点之一。厦

大校园依山傍海、风光秀丽,已成为公认的环境 优美的中国大学校园之一。

中共厦门大学第十次代表大会确定了厦门大学今后一段时期发展的总体战略目标:

在建校一百年时全面建成世界知名高水平研究型大学,在新中国成立一百年时跻身世界

一流大学行列。目前,厦门大学正昂首阔步朝着既定的奋斗目标阔步迈进。

(以上数据截至2016年3月31日)

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厦门大学数学科学学院简介

厦门大学数学学科办学历史悠久,1922年成立算学系,是厦门大学 早设立的系之

一,2003年在原数学系的基础上成立数学科学学院。经过几代人的努力,厦大数学学科

培养了以柯召院士、陈景润院士、林群院士为杰出代表的老一代数学家,以王友德、印

林生、苏育才等“国家杰出青年基金”获得者为代表的新一代数学家及一大批各条战线

上的优秀人才。

学院设有数学与应用数学系、信息与计算数学系、概率与数理统计系、公共数学教

学部、福建省数学建模与高性能科学计算重点实验室、数学研究所、精算学研究中心、

数学建模创新实验室。现有数学、统计学一级博士学位授予权和数学、统计学博士后流

动站,涵盖基础数学、计算数学、概率论和数理统计、应用数学和运筹学与控制论五个

二级学科博士点和硕士点,其中基础数学为国家二级重点学科,基础数学、应用数学、

计算数学为省级重点学科。数学与应用数学是国家一类特色专业、国家“理科基础科学

研究和教学人才培养基地”,入选国家“基础学科拔尖学生培养实验计划”。“信息与计

算科学”为福建省特色专业。《高等代数》、《数学建模》为国家精品课程和国家级资源

共享立项课程。主办《数学研究》学术期刊,合办的学术刊物《East Asian Journal on Applied

Mathematics》被列入SCIE期刊库。2014年,厦门大学数学学科进入ESI全球前1%。

学院学科方向齐全,既有历史悠久影响深远的经典研究方向,又有近十多年来发展

起来的新学科方向。数论研究历史悠久,曾培养出柯召院士、陈景润院士等杰出数论学

家;以辜联昆先生为代表的微分方程,曾是我国早期的重要研究基地,目前有赵俊宁教

授、谭忠教授等研究队伍,是富有影响的特色方向;以钟同德先生为代表的多复变函数

论是华罗庚先生开创的我国早期的三个多复变重要基地之一,现在以邱春晖教授等人的

积分表示理论、奇异积分理论和FINSLER几何而见长;以方德植先生为代表的微分几何,

曾经是我国三个重要的微分几何基地之一;我国第一代泛函分析学家李文清先生、张鸣

镛先生为代表的泛函分析,现在以程立新教授等人的空间理论、凸分析、非线性泛函分

析为鲜明特色;历史上以厉则治先生为代表的概率论,现在拥有以李效虎教授、刘继春

教授、王海滨教授等人的数理统计、随机过程和概率论完整齐全的学科。

新的研究方向发展迅速:以谭绍滨教授、林亚南教授的表示论为特色的代数学;以

张福基教授为代表的组合图论;国家“千人计划”入选者沈捷教授和许传炬、邱建贤、

卢琳璋、曾晓明、白正简教授的计算数学;以国家“千人计划”入选者关波教授为代表

的几何分析;以双聘教授林小东为代表的精算学;在调和分析、无穷维动力系统、逼近

论、小波分析、控制论与 优化理论等领域,一大批青年教师正在迅速成长。

学院现有专任教师87人,其中博士生导师35人(含兼职博导11人),高级职称人数占

教师总数的70%,具有博士学位的教师占教师总数的95%。其中国家“千人计划”入选

者2人、“万人计划”教学名师、“长江学者”讲座教授、国务院学科评议组成员各1人,

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教育部跨(新)世纪人才计划入选者5人,“千人计划”青年人才入选者2人,教育部高

等学校优秀骨干教师1人,宝钢优秀教师奖4人,福建省教学名师3人,福建省新世纪人

才入选者3人,“闽江学者”特聘教授6人,“闽江学者”讲座教授6人,厦门大学“陈景

润”数学特聘教授3人。现有在读博士生74人,硕士生112人,本科生504人。院友捐资

设立了“白坤水论文奖”、 “厉则治奖学金” 、“快乐学习奖学金”等,奖励优秀师生。

2013年,王焰金博士获全国百篇优秀博士学位论文奖。

近几年,学院抢抓机遇,主动作为,学科建设取得重要进展,队伍建设得到极大加

强,人才培养成绩斐然,科学研究成果喜人。厦门大学数学人弘扬陈景润院士的科学精

神,努力再创新辉煌。

(以上数据截止2016年1月)

笔 记

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Page 24: The 2016 Xiamen International Conference on Partial ...math.xmu.edu.cn/conference/2016pdea/cm.pdf · hypersurfaces in Riemannian manifolds 12:30-14:30 午餐、休息 下午14:30-16:05,学术报告,主持人,Yanyan