报告人简介：Michael Schlosser教授1996年在维也纳大学获得博士学位，导师是澳科学院通讯院士Krattenthaler教授。Michael Schlosser教授是当今国际上研究多变量q-超几何级数的顶级专家，迄今已经在国际著名刊物上发表了60多篇学术论文，他的研究极大地推动了多变量q-超几何级数的发展。此外他还担了著名数学期刊Journal of Mathematical Analysis and Applications 和Ramanujan Journal的编委；担任过2016年SASTRA Ramanujan奖的评...

*主持人：刘博 教授

*讲座内容简介：

Witten deformation is a versatile tool with numerous applications in mathematical physics and geometry. In this talk, we will focus on the analysis of Witten deformation for a family of non-Morse functions, leading to a new proof of the gluing formula for analytic torsions. Then we could see that the gluing formula can be reformulate...

报告时间: 2020年6月11日, 15:00-16:00，腾讯会议ID：318 689 891

https://meeting.tencent.com/s/HB14JUm6e8hQ

Abstract: 设M是一个紧致的Kahler流形, p是M上的一个点，我们将探讨在非紧致流形M-p上完备极致Kahler的存在性与拓扑障碍。

主持人：邹燕清
报告时间：2020年6月6日 14:00-15:00
报告平台：ZOOM会议 ID: 274 175 4144 ，密码：930643
https://cernet.zoom.com.cn/j/2741754144?pwd=TzRiV0gwT2l0NU1CRWtmODlpRUdrZz09
报告人简介：王家军 国家杰出青年获得者
报告内容摘要：
The geometrization theorem implies that the fundamental group of a 3-manifold determines the 3-manifold, except the lens spac...

报告摘要：依据Thurston的几何化猜想及Hempel 的结果，具有距离3的Heegaard分解的三维流形具有双曲结构。 本次报告将介绍三维流形Heegaard分解的构造；距离不超过2的Heegaard分解对应于双曲三维流形的判定条件。

Abstract: In 1995, Victor Andreevich Toponogov authored the following conjecture: “Every smooth strictly convex and complete classical surface of the type of a plane has an umbilic point, possibly at infinity“. In our talk, we will outline a proof, in collaboration with Brendan Guilfoyle. Namely we prove that (a) the Fredholm index of an associated Riemann Hilbert boundary problem for holomorphi...

Abstract: We use the recent theorem of Chen-Cheng to prove the existence of a family of collapsing cscK metrics on Kahler manifolds with semi-ample canonical bundles. A conjecture about the limiting behavior of these metrics will also be discussed. This is joint work with Wangjian Jian and Jian Song.

Abstract: Flag curvature is the most important quantity in Finsler geometry, because it generalizes the notion of sectional curvature in Riemannian geometry. In this talk I will give a brief introduction to Finsler geometry and discuss some interesting curvature phenomena. In particular, I will prove that when flag curvature reduces to sectional curvature, then either the Finsler metric is Riemann...

Abstract：It plays an important role in geometry and topology of manifolds to study sphere theorems. During the past fifteen years, a number of great achievements on sphere theorems, including the Poincare conjecture, the 1/4-pinching differentiable sphere theorem, and the Willmore conjecture, have been made by several geometers. In this talk, I will discuss recent progress and new techniques deve...

Abstract:
In a landmark paper, Atiyah and Bott showed that the moduli space of flat connections on a principal bundle over an orientable closed surface is the symplectic reduction of the space of all connections by the action of the gauge group. By appealing to polysymplectic geometry, a generalization of symplectic geometry in which the symplectic form takes values in a given vector space,...

摘要： We introduce the q-deformation of stability conditions on Calabi-Yau-X categories, with applications to mirror symmetry and cluster theory.
个人简介： 邱宇2011年毕业于英国巴斯大学，2012-2016年在加拿大和挪威做过博士后。2016-2018年在香港中文大学任研究助理教授，2018年9月到清华丘中心任副教授。他的研究领域是代数表示论及几何拓扑，主要研究Calabi-Yau范畴上的稳定条件空间及其应用，于2016年获得...

Abstract: The Kirillov formula is an important formula in representation theory which represents the character of a representation as an integral over a certain orbit of the group in its coadjoint represention. In 80's, this formula was extended as an index formula with infinitesimal group action by Berline-Vergne and Bismut. In this talk, we will extend this formula to the family version. This is...

报告人简介：
王诗?，北京大学教授，国际著名低维拓扑学家，中国科学院院士。



主办单位：数学科学学院、科技处

abstract：The Milnor Problem (modified) in the theory of group growth asks whether any finite presented group of vanishing algebraic entropy has at most polynomial growth. We show that a positive answer to the Milnor Problem (modified) is equivalent to the Nilpotency Conjecture in Riemannian geometry: given $n, d>0$, there exists a constant $\epsilon(n,d)>0$ such that if a compact Riemannian $n$-m...

报告人简介：丰德军为香港中文大学数学系教授，他在分形几何及动力系统领域取得了许多有深刻影响的学术成果，享有很高的学术声誉。

Abstract: In mathematics, iterated function system is one of the main schemes in generating fractal sets and measures. In this talk, I will report some recent advances in dimension theory of stationary measures for affine iterated function systems.

Abstract:
We study the dimension of cohomology of semipositive line bundles on complex manifolds, and obtain an asymptotic estimate for the dimension of the space of harmonic (0,q)-forms with values in high tensor powers of a semipositive line bundle when the fundamental estimate holds. We will introduce the background and recent progresses based on arXiv: 1810.09881v1.

Abstract: In this talk, we will talk about steady Ricci solitons with nonnegative sectional curvature and linear scalar curvature decay. In particular, we will give a classification of 3-dimensional steady Ricci solitons with linear decay and positively curved 4-dimensional noncollapsed steady Ricci solitons with linear decay. This is a joint work with Prof. Xiaohua Zhu.

报告人简介：Rosso是著名Hopf代数与量子群专家。他博士毕业于Stasbourg大学，现为巴黎七大教授。他是法国巴黎高等师范学校数学系前任系主任，Bourbaki学派成员。他的文章发表在顶尖杂志Invent. Math.等国际杂志上，具有巨大的学术影响力。

Abstract: The Bar construction for an associative algebra involves the classical cofree coalgebra, with a suitable coderivation. Extending the context to the cate...

报告人简介：唐翔教授是著名非交换几何与Poisson几何专家。他博士毕业于加州大学Berkerley分校，师从著名几何学家Weinstein教授，他现为美国华盛顿大学Saint-Louis分校教授。他的文章发表在一流杂志Crelle, Adv.Math.等国际杂志上，具有巨大的学术影响力。
Abstract:
In this talk, I will report some recent work in progress with Markus Pflaum and Hessel Posthuma about Hochschild homology of proper Lie g...

Abstract: In this talk, I will explain recent progress on Ilmanen's multiplicity-one conjecture for closed smooth embedded mean curvature flow with type I mean curvature. This is joint work with Bing Wang.

Abstract: Q-curvature is a generalization of the Gaussian curvature. In this talk, I will explain about the definition of Q-curvature and some of its properties.
Then I will talk about some problems related to Q-curvature, including the problem of prescribing Q-curvature.

Abstract: Q-curvature is a generalization of the Gaussian curvature. In this talk, I will explain about the definition of Q-curvature and some of its properties.
Then I will talk about some problems related to Q-curvature, including the problem of prescribing Q-curvature.

Abstract: The Ricci flow, introduced by R. Hamilton in 1982, evolves the initial geometry of a given space by the parabolic Einstein equation. One of the most important issues in the study of the Ricci flow is to understand the formation of singularities. It turns out generic singularities of the Ricci flow are essentially modeled by Ricci solitons. In this talk, I will discuss the phenomena of s...

Abstract: The Bonnet-Myers theorem states that an n-dimensional complete Riemannian manifold M with Ricci curvature lower bounded by a positive number (n-1)K is compact, and its diameter is no greater than $\pi/\sqrt{K}$. Moreover, Cheng's rigidity theorem tells that the diameter estimate is sharp if and only if M is the n-dimensional round sphere. In this talk, I will discuss discrete analogues ...

Abstract：In this talk, we will introduce a generalized action integral of both gravity and matter defined on the sphere bundle over Finsler space-time manifold $M$ with a Lorentz-Finsler metric. The Euler-Lagrange equation of this functional, a generalization of the Riemann-Einstein gravity equation with a defined cosmological constant, is obtained by using some divergence theorems. Fibers of the...

Abstract:

A classical isoperimetric inequality by A. D. Alexandrov says that for any simply-connected domain Ω on a surface, L^2>=4π*A-K*A^2, where L is the length of boundary, A the area of Ω, and K the upper bound of Ω's Gaussian curvature. Moreover, "=" holds if and only if Ω is a geodesic ball of constant curvature K. For domains in higher dimensional Riemannian manifolds, ...

摘要： A signed graph G is a graph associated with a mapping σ: E(G) →{+1, -1}. Signed graphs can be used to present surface duals of digraphs embedded in non-orientable surfaces. A signed graph is coverable if each edge is contained in some signed circuit. The edges of a signed circuit in a signed graph corresponds a minimal dependent set in the signed graphic matroid. An oriented signed graph ...

摘要：In this talk we will review two well-known conjectures due to Hopf and S.-T. Yau respectively, and explain their connections via the concept of ``Kaehler hyperbolicity" introduced by Gromov.
Then we shall report our recent work around Kaehler hyperbolic manifolds.

Abstract: Quasi-local mass is a basic notion in General Relativity. Geometrically, it can be regarded as a geometric quantity of a boundary of a 3-dimensional compact Riemannian manifold. Usually, it is in terms of area and mean curvature of the boundary. It is interesting to see that some of quasi-local masses, like Brown-York mass, Hawking mass and isoperimetric mass have deep relation with clas...

报告内容：
Quasi-local mass is a basic notion in General Relativity. Geometrically, it can be regarded as a geometric quantity of a boundary of a 3-dimensional compact Riemannian manifold. Usually, it is in terms of area and mean curvature of the boundary. It is interesting to see that some of quasi-local masses, like Brown-York mass, Hawking mass and isoperimetric mass have deep relation ...

2007年几何分析暑期讨论班

2007 Workshop on Geometric Analysis and Related Topics

2008年华东师范大学数学系
几何分析暑期学校及讨论班

时间: 2008年7月21-30.

地点: 华东师大数学系

委员会组织成员:

周培能(Bennett Chow), benchow@math.ucsd.edu

沈纯理(主席), cshen@math.ecnu.edu.cn

周风(系主任), fzhou@math.ecnu.edu.cn

郑宇, zhyu@math.ecnu.edu.cn



内容简介：

报告人: 高志成 教授（加拿大Carleton大学）

题目: Surface Maps and Recursions

摘要: 介绍和回顾地图计数的发展历史，
并且介绍最近由Goulden 和Jackson
发现的一种处理曲面上3-正则地图
的简单递归方法，使得我们可以大为
简化地图的渐进计算。

地点: 闵行校区数学馆126室

时间: 2008年5月26日上午10:00-11:00

2009华东师大数学系几何分析暑期学校

时间: 2009年8月3-15.

地点: 华东师大数学系（闵行）

详情请见：http://math.ecnu.edu.cn/academia/jhfx2009/jhfx2009.php

创新团队讨论班
系列学术报告
报告人：李皓昭（几何）

题目：复曲面上Kaehler-Einstein度量的存在性

时间： 2009年 11月 17 日 （周二） 下午 14：30-16：20

地点： 4号教学楼402多媒体教室




摘要
本系列报告将介绍G. Tian关于复曲面上Kahler-Einstein度量的工作的基本想法及在这个问题上最新进展。
特别的，我们将介绍C...

2010年几何分析暑期学校及研讨会



时间：2010年7月5日-7月9日

地点：华东师范大学中山北路校区理科大楼（暂定）



将分别邀请美国加州大学Irvine 分校数学系Zhiqin Lu 教授（5月21-28日）、Riverside 大学数学系的Qi Zhang教授（6月23-7月2日， 闵行）及法国Cergy-Pontoise 大学的Emmanuel Hebey 教授（7月5-9日）针为研究生及青年教师做关于Ricci 曲率流、...

2010年几何分析暑期学校及研讨会



时间：2010年7月5日-7月9日

地点：华东师范大学中山北路校区理科大楼（暂定）



将分别邀请美国加州大学Irvine 分校数学系Zhiqin Lu 教授（5月21-28日）、Riverside 大学数学系的Qi Zhang教授（6月23-7月2日， 闵行）及法国Cergy-Pontoise 大学的Emmanuel Hebey 教授（7月5-9日）针为研究生及青年教师做关于Ricci 曲率流、...

地点：闵行3号教学楼306室
报告时间： 2008年3月14日下午14：00---15：00
报告题目： Geometric evolution equations（几 何 发 展 方 程）
演讲人： 清华大学数学系 马力 教授

欢迎参加

系列学术讲座

题目：Lectures on Chern-Weil Theory and Witten Deformations

报告人：张伟平 院士 (南开陈省身数学研究所)

时间：每周二、三下午2-4点(2008年4月22日-5月21日)

地点：闵行校区第三教学楼322室

摘要：This series lectures consists of two parts: the first part contains an introduction to the geometric theory of characteristic class du...

报告人: Xu QuanHua (许泉华) 教授
（Université de Franche-Comté, France）

题 目：非交换极大遍历不等式

地 点：闵行校区数学楼127室

时 间：2008年5月6日（星期二）下午：2: 00—3: 00

美国Princeton大学数学系张圣容教授(Chang, Sun-Yung Alice)和杨健平教授(Paul C.Yang) 将于8月4日至6日访问我系。

张圣容教授今年新当选为美国科学院院士.

杨健平教授将作学术报告
报告题目：The Q-curvature Equation in conformal and CR geometry
报告时间：2008年8月5日上午10:00-11:00
报告地点：理科大楼A1510

学术报告

报告人： 何斌吾教授 （上海大学数学系）

题目：现代凸几何研究新进展

时间：9月26日（周五）下午1点

地点：闵行数学楼一楼126

题目: Geometric quantization for proper actions
演讲者： 张伟平 院士
南开陈省身数学研究所
时间： 2008年11月26日（周三） 14：00-15:00
地点： （闵行校园）3号楼224

报告题目：Recent results on moduli spaces.

报告人：刘克峰教授（美国加州大学洛山矶分校教授、浙江大学数学中心执行主任兼浙江大学数学系主任）

时间：12月29日上午9：40---10：40

地点：数学楼102报告厅

报告人简介： 刘克峰教授出生于1965年，先后在北京大学和中国科学院数学研究所获得学士和硕士学位。1993年获美国哈佛大学博士学位，师从著名数学家、菲尔兹奖获得者丘...

报 告 人：丁 青 教授（复旦大学）
报告题目：关于离散非线性Heisenberg方程的几何研究
报告时间：2009年3月13日（周五）下午1：30-2:30
报告地点：第三教学楼213室

摘 要
离散非线性Heisenberg方程自从1928年被W. Heisenberg提出以来便成为人们关注的一个方程，对于该方程的动力学性质的研究，由于它的不可积，一直也没有大的进展。本报告中，我们将按照对应原理的原则引入离散Yang-Mill...

学术报告

题 目：On the comparison geometry of the Bakry-Emery Ricci curvature
(Some problems in stochastic differential geometry)
报告人：Xiang-Dong Li
　　　　School of Mathematical Sciences Fudan University
时间：3月24日(星期二) 下午3:00--4:00
地点：闵行数学楼126室

摘要：
1.introduction
2.The Barky-Emery Ricci curvature
3....