##### Department of Mathematics,

University of California San Diego

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### RTG Grad Colloquium

## Woonam Lim, Graduate Student

#### UC San Diego

## Strange Duality

##### Abstract:

Theta functions are certain quasi-periodic functions in several complex variables. ``Non-abelian'' analogues of theta functions can be defined via moduli of stable bundles over a curve. There exist surprising symmetries in the dimension formulas, called Verlinde numbers, of spaces of non-abelian theta functions. We will talk about the strange duality which is a geometric explanation for the symmetry between spaces of non-abelian theta functions.

### October 27, 2020

### 5:00 PM

### Contact fmcglade@ucsd.edu for Zoom info

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