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中科院数学与系统科学研究院

数学研究所

中科院华罗庚数学重点实验室

 

综合报告会

Colloquium

 

 

报告人王诗宬 院士(北京大学

 Embedding the symmetries of surfaces to those of 3-sphere and 4-sphere

  2020.10.16(星期五),16:00-17:00(15:30-16:00为茶点时间, 地点: 数学院南楼N920)

  点:数学院南楼N902

  要:This is a survey talk mostly occupied by intuitive examples and figures, and the methods will be mentioned. Suppose a finite group G acts on F_g, the surface of genus g. The talk will consists of three parts.

(1) We first consider how to extend to the G action over the 3-sphere for some embedding form F_g to the 3-sphere. (jointly with C. Wang, B. Zimmermann, Y. Zhang).
(2) Next we  will discuss  if a periodic map (finite cyclic group action) on surface extends to a homeomorphism of the 3-sphere, can it extends to a periodical map of the 3-sphere (jointly with Y. Ni and C. Wang)? 
(3) Can we  say something about (1) and (2) if the 3-sphere is replaced by the  4-sphere (jointly with Z. Wang)? 
I thank F. Ding, Y. Liu and C. Wang for mathematics they taught me during and after cooperations.
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