##### Department of Mathematics,

University of California San Diego

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## Pierre Albin

#### University of Illinois Urbana-Champaign

## The signature operator on stratified pseudomanifolds

##### Abstract:

The signature operator of a Riemannian metric is an important tool for studying topological questions with analytic machinery. Though well-understood for smooth metrics on compact manifolds, there are many open questions when the metric is allowed to have singularities. I will report on joint work with Eric Leichtnam, Rafe Mazzeo, and Paolo Piazza on the signature operator on stratified pseudomanifolds and some of its topological applications.

Hosts: Todd Kemp and Ben Weinkove

### March 16, 2012

### 4:00 PM

### AP&M 5402

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