##### Department of Mathematics,

University of California San Diego

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### Math 292 - Topology Seminar

## Juanita Pinzon Caicedo

#### University of Notre Dame

## Toroidal integer homology spheres have irreducible SU(2)-representations

##### Abstract:

The fundamental group is one of the most powerful invariants to distinguish closed three-manifolds. One measure of the non-triviality of a three-manifold is the existence of non-trivial SU(2)-representations. In this talk I will show that if an integer homology three-sphere contains an embedded incompressible torus, then its fundamental group admits irreducible SU(2)-representations. \\ \\ This is joint work with Tye Lidman and Raphael Zentner.

Host: Jianfeng Lin

### February 23, 2021

### 10:30 AM

### Zoom information: Meeting ID: 933 6734 4286 Password: topology

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