首页   系科介绍   师资队伍   科研团队   本科生教学   研究生培养   招聘信息   联系我们

Previous Next
 
首页 >> 学术报告

Hamilton's Ricci flow and Perelman's solution of Poincare conjecture

徐国义 博士(清华大学数学中心)
2013年12月5日14:15-15:15   数学楼102会议室
 
青年学术论坛邀请报告

Abstract: In the beginning of 20th century, Poincare initiated the study of topology. He proposed a fundamental conjecture in 3-dim topology: Every simply connected, closed 3-manifold is homeomorphic to the 3-sphere. Comparing with the classification of 2-dim closed manifolds, the similar classification problem in 3-dim is much harder. In 1982, Hamilton introduced Ricci flow, which deforms initial metric on manifolds to canonical metric by parabolic method, and shed light to Poincare's old conjecture. However, the thorough understanding of singularity during Ricci flow is the essential obstacle to finish this program. The key analysis of singularity was achieved by Perelman by introducing several new concepts and tools, which had great impact on geometry and analysis.
We will focus on introducing the intuitive ideas of this program, and basic geometry and PDE knowledge is enough to understand most part of the talk.

Biography: Guoyi Xu is an assistant professor in Mathematical Sciences Center at Tsinghua University since September 2013. He got Ph.D degree in mathematics in May 2010 from University of Minnesota under the supervision of Robert Gulliver. He had hold visiting assistant professorship in University of California, Irvine, where his mentor was Peter Li. His interest in math are geometric flows and its application in geometry and topology.
   
 
 
快捷链接 >>
 
系内资源 >>
 
教学园地 >>
 
  校外链接 >>    华师大-纽约大学联合数学研究中心    上海市数学会    中国数学会    美国数学会    欧洲数学会  
         
       Copyright 2012 All rights reserved    Department of Mathematics, East China Normal University    Tel: 86-21-54342609