Speaker: Ivan Danilenko (Columbia University)

Title: Mirror Symmetry for Coulomb Branches

Abstract: Homological mirror symmetry predicts an equivalence between the derived category of coherent sheaves on an algebraic variety X and the Fukaya category of a symplectic manifold Y for certain pairs of X and Y. This talk will focus on a version where both X and Y are Coulomb branches of a quiver gauge theory. I will outline how the identification works. This is a joint project with Mina Aganagic, Yixuan Li, Vivek Shende, and Peng Zhou.