##### Department of Mathematics,

University of California San Diego

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### Food for Thought

## Frederick Rajasekaran

#### UCSD

## An Introduction to Random Matrix Theory and the Genus Expansion

##### Abstract:

We'll give a quick introduction to the field of random matrix theory and give partial proof of the famed semicircle law for Wigner matrices. To do so, we will incorporate tools from combinatorics, probability, and topology to understand the *genus expansion* of a random matrix. No background in probability is required, though it may be helpful.

### June 7, 2023

### 1:00 PM

HSS 4025

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