Speaker： Prof. Hongwei Xu (Zhejiang University)

Time： 13:00-14:00， March 8， 2019

Classroom： Room 401， Mathematics Department

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 developed in the study of sphere theorems. I will also propose some open problems in this area.