Stability in the second homology of Torelli groups

Jennifer Wilson
Stanford University
Friday, November 3, 2017 -
2:30pm to 3:30pm
Vincent Hall 207

In this talk I will describe stability results for the Torelli subgroups of mapping class groups of surfaces. Specifically, I will explain how to use tools from representation theory to establish patterns their second homology. These "representation stability" results are an application of advances in a general algebraic framework for studying sequences of group representations. This project is joint with Jeremy Miller and Peter Patzt.