##### Department of Mathematics,

University of California San Diego

****************************

### Zoom for Thought

## Finley McGlade - Ph.D. Student

#### UC San Diego

## Wild $p$-structures

##### Abstract:

Of all the polynomials over $\mathbb{Q}_p$, those of degree divisible by $p$ are most complicated. Similarly, the $p$-local subgroup structure of $\operatorname{GL}_n(\mathbb{C})$ is more complicated if $p$ divides $n$. The talk will be an example based introduction to these ideas, which fall under the ``wild aspect'' of the local Langlands correspondence. Along the way we will define $\mathbb{Q}_p$, some reductive groups of exceptional type, and exhibit wild $p$-structures in both of these examples.

### December 1, 2020

### 1:00 PM

### Please see email with subject ``Zoom for Thought Information."

****************************