Topology Seminar

In this (partly expository) talk, I will survey homological stability phenomena in topology and group theory. I will describe a classical strategy due to Quillen for establishing that a family of groups is homologically stable. In work joint with Jeremy Miller and in part with Peter Patzt, we applied a representation-theoretic adaptation of this strategy to prove stability results for families such as configuration spaces of points in a manifold, and congruence subgroups of linear groups and of mapping class groups. Speaker(s): Jenny Wilson (U(M))