# Behavior of some invariants in characteristic p

## Location

383N

Friday, March 10, 2023 12:00 PM

Shiji Lyu (Princeton)

Title: Behavior of some invariants in characteristic p

Abstract: There are many numerical invariants of a ring in

characteristic p measuring its singularity. In this talk, we will

discuss two classical ones, Hilbert-Kunz multiplicity and the

F-signature, and a rather recent one, the F-rational signature. We

will discuss several properties of these invariants, including

semi-continuity and behavior under smooth extensions.