##### Department of Mathematics,

University of California San Diego

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### Math 295 - Mathematics Colloquium

## Jennifer Wilson

#### Stanford University

## Stability in the homology of Torelli groups

##### Abstract:

The Torelli subgroups of mapping class groups are fundamental objects in low-dimensional topology, through some basic questions about their structure remain open. In this talk I will describe these groups, and how to use tools from representation theory to establish patterns their homology. This project is joint with Jeremy Miller and Peter Patzt. These ``representation stability'' results are an application of advances in a general algebraic framework for studying sequences of group representations.

Host: Amir Mohammadi

### December 4, 2017

### 2:00 PM

### AP&M 6402

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