Title: Mirror symmetry and Fukaya categories of singular varieties
Speaker: Maxim Jeffs
Speaker Info: Harvard University
Brief Description: Virtual (Zoom) Talk
Special Note:
Abstract:
Meeting ID: 916 7431 9341Date: Thursday, May 06, 2021Meeting Password: First word of the name of the seminar (in small letters)
Abstract: One problem that arises when studying mirror symmetry is that even mirrors of smooth varieties are often singular, and it is difficult to make sense of the A-model for these mirrors. In this talk I will explain Auroux' definition of the Fukaya category of a singular hypersurface and two results about this definition, illustrated with some fundamental examples. The first result is analogous to Orlov's derived Knorrer periodicity theorem, relating Auroux' category to a Landau-Ginzburg model on a higher-dimensional variety; the second result is a homological mirror symmetry equivalence at certain large complex structure limits.