[專題演講] 【05月24日】Tsung-Ju Lee / On solutions to GKZ D-modules

by 許書豪 | 2023-04-13 14:58:06

On solutions to GKZ D-modules

時 間:2023-05-24 14:00 (星期三) / 地 點:M212 / 茶 會:M107 (13:30)

Dr. Tsung-Ju Lee
Center of Mathematical Sciences and Applications, Harvard University

 

 

A GKZ D-module, introduced by Gelfand, Kapranov, and Zelevinsky, is a system of linear PDEs generalizing the hypergeometric structure that can be traced back to Euler and Gauss. GKZ D-modules are powerful tools in the study of the moduli space of Calabi–Yau manifolds as they govern the period integrals for Calabi–Yau complete intersections/double covers in toric varieties. Thus, to compute period integrals, one could compute the full solution space to such a GKZ D-module first, and then try to recover the periods among the solutions.
In this talk, I will mainly focus on the case of elliptic curves and give a cohomological description of the solution space to such a GKZ D-module. If time permits, I will also talk about the higher dimensional case. This is based on joint works with Dingxin Zhang.

Source URL: https://virtual.math.ntnu.edu.tw/index.php/2023/04/13/20230524-speech/