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Algebraic Combinatorics Seminar - Jonathan NovakExport this event to calendar

Thursday, April 8, 2021 — 1:00 PM EDT

Title: A tale of two integrals

Speaker: Jonathan Novak
Affiliation: University of California San Diego
Zoom: Contact Karen Yeats

Abstract:

The Harish-Chandra/Itzykson-Zuber (HCIZ) and Brezin-Gross-Witten (BGW) integrals are a pair matrix integrals which play a prominent role in quantum field theory. Remarkably, these ubiquitous special functions are also significant from the perspective of algebraic combinatorics: they are generating functions for certain classes of Hurwitz numbers. I will explain the connection between the HCIZ/BGW integrals and Hurwitz theory, and explain how it leads to a proof of some old conjectures concerning the asymptotic behavior of these integrals. This is based in part on joint work with Ian Goulden and Mathieu Guay-Paquet.

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