Remarks on the Fukaya categories of singular hypersurfaces

Date
2025/06/26 Thu 13:00 - 15:00
Room
3号館552号室
Speaker
森村 勇人(Hayato Morimura)
Affiliation
Kavli IPMU
Abstract

This talk is based on my survey on the Fukaya categories on singular hypersurfaces. Auroux proposed a definition of the Fukaya category of a singular hypersurface as the localization of that of a nearby fiber at the clockwise monodromy autoequivalence. Jeffs showed that it is equivalent to the Fukaya-Seidel category of the associated Liouville Landau-Ginzburg model (Knorrer periodicity). In this talk, I will outline his proof and present some of my observations. On the way, I will explain background materials, ignoring additional data on Lagrangians such as grading and orientation.