### Congruence subgroups and homological stability

- Series
- Geometry Topology Seminar
- Time
- Monday, October 10, 2011 - 14:05 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Andy Putman – Rice U

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.