## Geometry Seminar - Abstracts

### Talk

Monday 30 May 2016, 16:00 - 17:00, in HG00.058

**Alfredo Deaño** (University of Kent)

*Asymptotic analysis of the partition function in (some) random matrix ensembles*
### Abstract

The partition function Z_N in unitary invariant ensembles of N x N random
matrices is a very important object in mathematical physics, and its asymptotic
behaviour as N tends to infinity has been studied for a long time in different
settings. In this talk we will present some general results for ensembles with
polynomial potentials, and show how in some cases the asymptotic behaviour of
Z_N can be obtained using tools from orthogonal polynomials and integrable
systems.

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