EVENT DETAILS AND ABSTRACT

Title: Global F-regularity and global +-regularity
Speaker: Linquan Ma
Speaker Info: Purdue University
Brief Description: Zoom talk
Special Note:
Abstract:

This is partially a continuation of Tucker's talk, on the other hand no prerequisites from his talk are required. We generalize the theory of globally F-regular pairs from positive to mixed characteristic, which we call global +-regularity, and introduce certain stable sections of adjoint line bundles. This is inspired by recent work of Bhatt on the Cohen-Macaulayness of the absolute integral closure. We will discuss applications of these results to birational geometry in mixed characteristic. Joint work with Bhargav Bhatt, Zsolt Patakfalvi, Karl Schwede, Kevin Tucker, Joe Waldron, and Jakub Witaszek.