MS Seminar (Mathematics - String Theory)

Speaker: Anatoly Libgober (U of Illinois, Chicago)
Title: Elliptic genus of phases of N=2 theories
Date: Tue, Mar 10, 2015, 13:15 - 14:45
Place: Seminar Room A
Abstract: I will describe a construction from my recent preprint with the same title which assigns elliptic genus to Witten's phases of N=2 theories which include the elliptic genus of Landau-Ginzburg models associated with weighted homogeneous polynomials, elliptic genus of Calabi-Yau manifolds and elliptic genus of hybrid models. In particular, using this construction one can derive LG/CY correspondence for elliptic genus from McKay correspondence. In the final part of the talk I discuss a recent paper with L. Borisov on Pfaffian-Grassmannian double mirrors.