Topological expansion of oscillatory BGW and HCIZ integrals
Speaker:
Jonathan Novak, University of California, San Diego
Date and Time:
Wednesday, June 15, 2022 - 3:30pm to 4:30pm
Location:
Western University
Abstract:
The BGW and HCIZ integrals are important special functions in random matrix theory: the former is the Fourier transform of Haar measure on U(N), and the latter is the Fourier transform on a given coadjoint orbit of U(N). I will explain that these integrals admit a large N topological expansion, the coefficients of which are generating functions for monotone Hurwitz numbers.
