Seminar Event Detail


Topology

Date:  Thursday, April 05, 2018
Location:  1866 East Hall (3:00 PM to 4:00 PM)

Title:  Euler characteristics on virtually free products

Abstract:   A generalized Euler characteristic on a class of groups is an invariant satisfying similar properties with the usual topological Euler characteristic of CW complexes. Euler characteristics have been defined on various classes of groups and examples include the rank gradient and the L^2-Betti numbers of groups. In this talk, we will define Euler characteristics on classes of residually finite and virtually torsion free groups and we will see that they satisfy certain formulas for fundamental groups of graph of groups with finite edge groups. Moreover, we will see an application on the number of edges of splittings of an accessible group over finite subgroups.

Files:


Speaker:  Konstantinos Tsouvalas
Institution:  UM

Event Organizer:   vlamis    vlamis@umich.edu

 

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