video of the talk

Abstract: 

Work on Bezrukavnikov and Kaledin provides a bridge between representation theory and algebraic geometry, giving an equivalence of derived categories between certain categories of coherent sheaves and non-commutative algebras. Their original construction involved a strange detour into the land of characteristic p, but with some insight from 3-d gauge theory, we can avoid this in the case of BFN Coulomb branches, interpreting the summands of Kaledin’s tilting bundle as line defects in the A-twist of the gauge theory.