MS Seminar (Mathematics - String Theory)

Speaker: Yongbin Ruan (U of Michigan)
Title: Verlinde/Grassmanian Correspondence
Date: Fri, Jun 22, 2018, 13:15 - 14:45
Place: Seminar Room B
Abstract: More than twenty years ago, Witten proposed an equivalence of two quantum fields governing Verlinde algebra (or the theory of stable bundles over a curve) and the quantum cohomology of Grassmanian. Motivated by Witten's physical work and recent revival of quantum K-theory, we proposed a K-theoretic version of so called Verlinde/Grassmanian correspondence. We will first review the new ingredient of level structure in quantum K-theory and surprising appearance of mock theta function. Then, we will present a proof of correspondence in rank two using wall-crossing technique. This is a joint work with Davesh Maulik and Ming Zhang.