Weyl Algebras for Quantum Homogeneous Spaces and Applications

Explore the construction of algebras serving as quantum analogues to differential operators on symmetric spaces in this 49-minute conference talk. Delve into the speaker's joint work with G. Letzter and S. Sahi, focusing on symmetric spaces of the form GL(n,F)/U(n,F), where F represents a real division algebra. Learn about the definition of a natural basis of Capelli operators and discover how their spectra recover the interpolation variant of Macdonald polynomials. Gain insights into representation theory, noncommutative algebra, and categorification as part of the Canada-Mexico-US Conference hosted by the Centre de recherches mathématiques (CRM).