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...
