为促进同济大学数学科学学院与国内特别是华东地区拓扑学的交流合作,我们将于9月15日在同济大学举办“2019华东地区拓扑学研讨会”。
日程表
时间:2019年9月15日
地点:同济大学宁静楼115室
9:00-10:00:胡文传 (四川大学) (主持人:邱瑞锋)
题目:The Euler Number of a $C^*$-action Equivariant Embedding into Projective Spaces
摘要:We will talk about an upper bound of the Euler number of a projective variety $C^*$ equivariantly embedded into a complex projective space in the case that the fixed point set of the variety is isolated, proposed by Carrell and Sommese.
10:30-11:30:杨文元 (北京大学)(主持人:王宏玉)
题目:Martin Boundary of Random Walks on Groups
摘要:我们将介绍群上的随机游走的基本概念和理论,侧重于带非正曲率的群的Possion边界和Martin边界的确定问题。我们将介绍双曲群,相对双曲群的已知的结果,以及正在进行的带收缩元素的群的一些相关工作介绍。
15:00-16:00:赵学志 (首都师范大学)(主持人:吕志)
题目:Geometric Intersection Numbers of Loops on Surfaces
摘要:Given two loops on a compact surfaces $F$, it is natural to ask: what is their minimal intersection number during homotopy classes? This number is usually said to be the geometric intersection number. In this talk, we shall explain a way to determine the geometric intersection and self-intersection numbers of loops on surfaces. Our integration are Nielsen fixed point theory and Gr/"{o}bner-Shirsov basis. We illustrate an application: An algorithm to compute the distance of loops in curve complex. This is a joint work with Gu Ying.
16:30-17:30:王宏玉 (扬州大学)(主持人:张影)
题目:On Calabi-Yau Equation on Closed Symplectic Manifolds
摘要:In this talk, we deal with the complex Monge-Ampere equation proposed by Gromov on closed almost Kahler manifolds and extend to arbitrary dimension a non-existence result proved in complex dimension 2. Also we consider Calabi-Yau equation on closed symplectic manifolds.