Embeddings of Kac-Moody Affine Grassmannian Slices

Explore the intricate world of geometric representation theory in this 54-minute conference talk from the Canada-Mexico-US Conference on Representation Theory, Noncommutative Algebra, and Categorification. Delve into the role of affine Grassmannians and the potential extension of their theory to Kac-Moody types. Examine the concept of affine Grassmannian slices as a more manageable approach to this complex problem. Discover how recent developments in mathematical physics, particularly the theory of Coulomb branches, offer a potential solution for defining these slices in Kac-Moody types. Learn about new evidence supporting the validity of the Coulomb branch construction, focusing on the natural embedding of resulting varieties. Gain insights from joint work with Dinakar Muthiah, presented by Alex Weekes at the Centre de recherches mathématiques (CRM).