Algebra and Geometry Seminar

USC, Kaprelian Hall room 414

Mirror symmetry predicts equivalence between Fukaya categories of Coulomb branches (A-side) and derived categories of coherent sheaves of Coulomb branches (B-side). In the talk, I will focus on how this relation works in the decategorified setting. It will explicitly show how to identify a cohomology space associated with the A-side with the equivariant K-theory on the B-side. Based on joint work with A. Smirnov, and with M. Aganagic, Y. Li, V. Shende, P.Zhou.