Program
On the finiteness of the classifying space for the family of virtually cyclic subgroups
Student No.:100
Time:Thu 10:00-11:00, Mar.22
Instructor:Wu Xiaolei  
Place:Lecture Hall, Jin Chun Yuan West Bldg.
Starting Date:2018-3-22
Ending Date:2018-3-22

In this talk, I will first give an introduction to the classifying space for the family of subgroups with many examples. Then I will concentrate on the case when the family is the set of virtually cyclic subgroups. In particular, I will discuss an interesting conjecture due to Juan-Pineda and Leary. The conjecture says a group admits a finite model for the classifying space for the family of virtually cyclic subgroups if and only if it is virtually cyclic. I will talk about some recent progress on this conjecture and some ideas behind the proof. I will also discuss some connections between this conjecture and conjugacy growth. This is a joint work with Timm von Puttkamer.