Mixed characteristic analogues of F-injective and Du Bois singularities

Algebraic Geometry Seminar

Organizers：

Caucher Birkar，贾甲

Speaker：

Joe Waldron (Michigan State University)

Time：

Fri., 9:00-10:00 am, Sept. 20, 2024

Online：

Zoom Meeting ID: 262 865 5007

Passcode: YMSC

Title：

Mixed characteristic analogues of F-injective and Du Bois singularities

Abstract：

Singularities are measured in different ways in characteristic zero, positive characteristic, and mixed characteristic. However, the classes of singularities usually form groups with similar properties, with an example of such a group being klt, strongly F-regular and BCM-regular. In this talk we shall focus on a mixed characteristic counterpart of F-injective and Du Bois singularities. We will see that the three have a unified description and satisfy many expected properties.

This is joint work with Bhargav Bhatt, Linquan Ma, Zsolt Patakfalvi, Karl Schwede, Kevin Tucker and Jakub Witaszek.