##### Department of Mathematics,

University of California San Diego

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### Math 292

## Zhouli Xu

#### UCLA

## Equivariant Dunn Additivity

##### Abstract:

The Boardman-Vogt tensor product of operads encodes the notion of interchanging algebraic structures. A classic result of Dunn tells us that the tensor product of two little cube operads is equivalent to a little cube operad with the dimensions added together. As models for $\mathbb{E}_k$-operads, this reflects a defining property of these operads.

In this talk, we will explore some equivariant generalizations to Dunn’s additivity. Along the way, we will play with little star-shaped operads, question if we really need group representations for equivariant operads, and learn to love (and hate) the tensor product.

### May 23, 2023

### 4:30 PM

APM 7321

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