# Benjamin Fahs: Uniform asymptotics of Toeplitz determinants with Fisher-Hartwig singularities

**Time: **
Tue 2019-09-17 15.15 - 16.15

**Location: **
F11, KTH

**Participating: **
Benjamin Fahs, Imperial College London

### Abstract

We discuss asymptotics of Toeplitz determinants with Fisher-Hartwig singularities, with emphasis on asymptotics which are uniform with respect to the location of the singularities. These are used to prove a conjecture by Fyodorov and Keating concerning the asymptotics of moments of certain averages of the characteristic polynomial of the CUE.