Geometry & Topology seminar

Speaker:

Charles Doran, University of Alberta

Abstract:

We prove that specific toric Landau-Ginzburg models for rank-1 Fano threefolds are families of Shioda-Inose surfaces, thereby explaining the observed modular properties of their associated regularized quantum differential equations. We conjecturally extend modularity to Fano varieties of any rank, and discuss this conjecture on toric examples.