Back to Algebraic Geometry Seminar: Fall 2020
Algebraic Geometry Seminar
Date: Tuesday, Oct 6, 2020
Time: 3:30PM - 4:30PM
Location: Zoom
Lei Wu
University of Utah
Title |
Cohen-Macaulayness in the study of D-modules |
Abstract |
Cohen-Macaulay rings play a central role in commutative algebra. Translating to algebraic geometry, we have Cohen-Macaulay schemes. Cohen-Macaulay schemes have many nice geometric properties. In this talk, I will explain how we can understand Cohen-Macaulay objects in the category of D-modules by using duality, especially for relative D-modules. Then, we will use them to study Bernstein-Sato polynomials/ideals. As an application, I will use Cohen-Macaulayness of relative D-modules to study the topological cohomology jumping loci of rank 1 local systems and prove a conjecture of Budur. This is joint work with Budur, Veer and Zhou. |
Algebraic Geometry