Geometry and Topology Seminar——On embedding periodic maps of surfaces into those of m-spheres.
                    
                  
                  
                  
                    报告人:王中子(北京大学)
 
                    时间:2023-09-27   15:10-17:00
  
                    地点:智华楼-四元厅
                   
                  
                    Abstract: It is known that in the smooth orientable category any periodic map of order n on a closed surface of genus g can extend periodically over some m-dimensional sphere with respect to an equivariant embedding.    
  
We will determine the smallest possible m when n is at least 3g. We will also show that for each integer k>1 there exist infinitely many periodic maps such that the smallest possible m is equal to k.   
  
This is a joint work with Chao Wang.