Explore a lecture by David Nadler from the University of California, Berkeley, on functions on commuting stacks through the lens of mirror symmetry. Delve into the concept of commuting stacks for complex reductive groups, understanding their role in parametrizing pairs of commuting group elements up to conjugacy and their interpretation as G-local systems on a torus. Discover the collaborative research with Penghui Li and Zhiwei Yun that calculates global functions on the commuting stack using mirror symmetry, with a particular focus on Betti geometric Langlands. Gain insights into this advanced mathematical topic and its implications in the field of algebraic geometry and representation theory.
Overview
Syllabus
Functions on Commuting Stacks via Mirror Symmetry
Taught by
IMSA