##### Department of Mathematics,

University of California San Diego

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### Math 292

## Maxine Calle

#### University of Pennsylvania

## Equivariant Trees and Partition Complexes

##### Abstract:

Given a finite set, the collection of partitions of this set forms a poset category under the coarsening relation. This category is directly related to a space of trees, which in turn has interesting connections to operads. But what if the finite set comes equipped with a group action? What is an "equivariant partition"? And what connection is there to equivariant trees? We will explore possible answers to these questions in this talk, based on joint work with J. Bergner, P. Bonventre,D. Chan, and M. Sarazola.

Host: Zhouli Xu

### May 16, 2023

### 4:30 PM

APM 7321

Research Areas

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