Previous Special Year Seminar

I will discuss some applications of ideas from derived algebraic geometry (DAG) to representation theory in joint work with David Nadler. First I'll review the theory of Drinfeld centers of tensor categories and its generalization to derived...

Equivariant localization relates the geometry of a space to the geometry of the fixed points of a group action. A categorified application of this technique allows one to recover D-modules on a smooth space from coherent sheaves on its loop space...