##### Department of Mathematics,

University of California San Diego

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### Math 292: Topology Seminar

## Mona Merling

#### University of Pennsylvania

## Equivariant A-theory and spaces of equivariant h-cobordisms

##### Abstract:

Waldhausen's algebraic K-theory of manifolds satisfies a homotopical lift of the classical h-cobordism theorem and provides a critical link in the chain of homotopy theoretic constructions that show up in the classification of manifolds and their diffeomorphisms. I will give an overview of joint work with Goodwillie, Igusa and Malkiewich about the equivariant homotopical lift of the h-cobordism theorem.

Host: Zhouli Xu

### October 11, 2022

### 4:30 PM

APM 7218

Research Areas

Geometry and Topology****************************