Landau-Ginzburg model on the master space
Speaker:
Chiu-Chu Melissa Liu, Columbia University
Date and Time:
Thursday, September 19, 2019 - 2:00pm to 3:00pm
Location:
Fields Institute, Room 230
Abstract:
Let X be the degree r Fermat hypersurface in Pm−1. It is the critical locus of a regular function W on the total space Y of O(−r) over Pm−1. Chang-Li developed a mathematical theory for the Landau-Ginzburg A-model on (Y,W), known as stable maps with fields, and proved that it is equivalent to the Gromov-Witten theory of X. I will describe the theory of Mixed-Spin-P (MSP) fields which can be viewed as a mathematical theory of the Landau-Ginzburg A-model on (M,W) where M is the master space associated to Y. This is based on joint work with Huai-Liang Chang, Jun Li, and Wei-Ping Li.