Behavior of some invariants in characteristic p
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.