Hypergeometric Matrix Models and their Duals

Explore a comprehensive lecture on hypergeometric matrix models and their duals presented by Jonathan Novak from the University of California, San Diego. Delve into the fascinating world of complex matrix hypergeometric functions, introduced by James in the 1960s and built upon earlier work by Bochner and Herz. Discover how these functions are defined using Schur functions, establishing inevitable connections with algebraic combinatorics. Uncover a novel approach to solving the longstanding problem of approximating these functions as the number of variables approaches infinity. Learn how ideas from Hurwitz theory can be applied to develop a general method for tackling this challenge. Recorded at IPAM's Integrability and Algebraic Combinatorics Workshop, this 52-minute talk offers valuable insights for researchers and students interested in advanced mathematics, matrix theory, and combinatorics.