Infinite Dimensional Algebra Seminar
Friday, October 26, 2018 at 3:00pm to 5:00pm
Andrei Negut (MIT)
Geometric realization of q-W-algebras
In this talk, I will present a survey of recent (and ongoing) work on the geometric representation theory of moduli spaces of parabolic sheaves on surfaces. Their cohomologies, K-theories, derived categories are controlled by W-algebras, q-W-algebras, and (tentatively) yet-to-be-defined categorifications thereof. I will also mention how this relates to the AGT correspondence between gauge theory and conformal field theory.