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Speaker:

Xiaolei Wu
Affiliation:

MPI
Date:

Thu, 2017-07-13 15:00 - 16:00
Location:

MPIM Lecture Hall
Parent event:

MPI-Oberseminar In this talk, I will first give a gentle introduction to the classifying space for the family of subgroups with many

examples. Note that when the family consists of only the trivial subgroup, the classifying space is just the

Eilenberg-Maclane space which is a classical object to study. 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. This is a joint work with Tim von Puttkamer.

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