Congruence subgroups and homological stability

Series
Geometry Topology Seminar
Time
Monday, October 10, 2011 - 2:05pm for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Andy Putman – Rice U
Organizer
Dan Margalit
An important structural feature of the kth homology group of SL_n(Z) is that it is independent of n once n is sufficiently large. This property is called "homological stability" for SL_n(Z). Congruence subgroups of SL_n(Z) do not satisfy homological stability; however, I will discuss a theorem that says that they do satisfy a certain equivariant version of homological stability.