地点：海纳苑2幢204室

时间：12月22日，16:00 - 17:20

报告人：高原 Yuan Gao（南京大学）

摘要:  

Pretalk: Descent in Hamiltonian Floer theory

Abstract: The Mayer-Vietoris sequence is an instance of computing Cech cohomology with respect to a good cover. As it turns out, Hamiltonian Floer cohomology, one of the central cohomology theories studied in symplectic geometry, comes with a default notion of ‘good cover’. In the pretalk, I will review the theory of symplectic cohomology with support introduced by Varolgunes, recall its sheaf property, and discuss its generalizations to the open-string case.

Research talk: Local-to-global mirror symmetry: a new look at a classical example

Abstract: The Strominger-Yau-Zaslow perspective has provided a conceptual picture for understanding mirror symmetry, yet functorial proofs of Homoglocial Mirror Symmetry (HMS) based on it have not completely been established. In this talk, I will discuss a different approach, based on joint work-in-progress with Umut Varolgunes, to constructing the mirror space and the HMS functor using Floer theory with support, modeling on a symplectic counterpart to Gross-Siebert toric degeneration. The majority of this talk will focus on implementing the strategy on the classical example of an elliptic curve originally approached by Polishchuk and Zaslow.