Back to Commutative Algebra Seminar: Spring 2022
Commutative Algebra Seminar
Date: Friday, Apr 22, 2022
Time: 2:00PM - 3:00PM
Location: LCB 222
Thomas Polstra
University of Virginia
Title |
Inversion of Adjunction of F-purity |
Abstract |
Critical to the inductive treatment of the complex minimal model program are theorems which compare the singularities of a complex variety with the singularities of a codimension $1$ subvariety. Such theorems, when viewed through the lens of reduction to prime characteristic, produce conjectures on the behavior of Noetherian rings of prime characteristic. In particular, Kawakita’s Inversion of Adjunction of Log Canonical Singularities Theorem inspires the similarly named Inversion of Adjunction of F-purity conjecture in commutative algebra. We will discuss historical developments around this conjecture, recent progress, and relations with the problem of deforming F-purity. This talk is based on collaborative efforts with Austyn Simpson and Kevin Tucker. |
Commutative Algebra