Abstract

I will describe certain moduli of wild Higgs bundles on the line, and explain why they are affine analogues of Slodowy slices. I will then describe an equivalence between microlocal sheaves on a particular such space and a block of representations of the small quantum group. Joint work with Roman Bezrukavnikov, Pablo Boixeda Alvarez and Zhiwei Yun.

Speaker

I study the intersection of representation theory, symplectic geometry and mathematical physics, focusing on conformal field theory, supersymmetric gauge theory and topological string theory.

Personal Website:

https://sites.google.com/view/mmcbreen/home