Affine Beilinson–Bernstein localization at critical level

Seminar: 
Geometry, Symmetry and Physics
Event time: 
Monday, February 28, 2022 - 4:30pm
Location: 
Zoom
Speaker: 
David Yang
Speaker affiliation: 
Harvard
Event description: 

It has long been expected, due to work and conjectures of Beilinson--Drinfeld and Frenkel--Gaitsgory, that one has a localization theorem for representations of affine Lie algebras at critical level with unramified central characters as certain D-modules on the affine Grassmannian. We have proven this in a joint work with Sam Raskin. After reviewing the motivation and context for this conjecture, we will describe some new methods used in the proof.