MS Seminar (Mathematics - String Theory)

Speaker: Yan-Lung Leon Li (The Chinese U of Hong Kong)
Title: Equivariant Lagrangian correspondence and a Conjecture of Teleman
Date (JST): Tue, Feb 27, 2024, 13:30 - 15:00
Place: Seminar Room A
Abstract: It has been a continuing interest, often with profound importance, in understanding the geometric and topological relationship between a Hamiltonian G-Y and a symplectic quotient X. In this talk, we shall provide precise relations
between their (equivariant) Lagrangian Floer theory. In particular, we will address a conjecture of Teleman on the mirror construction of X from that of Y, which generalises Hori-Vafa mirror construction for toric varieties. The key technical
ingredient is an equivariant extension of Fukaya’s Lagrangian correspondence tri-modules over equivariant Floer complexes, introduced by Kim, Lau and Zheng. If time permits, we will discuss how the above is related to gauge theory and (2d and 3d) Mirror Symmetry described by Teleman. Joint work with Siu-Cheong Lau and Naichung Conan Leung.