Back to Algebraic Geometry Seminar: Fall 2019
Algebraic Geometry Seminar
Date: Tuesday, Sep 10, 2019
Time: 3:30PM - 4:30PM
Location: LCB 222
Adrian Langer
University of Warsaw
Title |
Smooth projective D-affine varieties |
Abstract |
A D-affine variety is such a variety X that the category of D_X-modules behaves like the category of O_X-modules of an affine variety. Beilinson and Bernstein showed that complex generalized flag varieties are D-affine. It is a folklore conjecture that any smooth projective D-affine variety is of this form. I will talk about current state of this problem. In positive characteristic the problem is related to a new generalization of Miyaoka’s generic semipositivity theorem. |
Algebraic Geometry