Javier Carvajal-Rojas (Leuven)

Abstract: Let X be an F -split variety (roughly, a strong form of ordinary log Calabi—Yau variety) and Y /X be a finite cover such that the F -splitting of X lifts to Y . How do the spectra of centers of F -purity (roughly, arithmetically tame log-canonical centers) of Y and X relate to one another? This turns out to be a very tricky question due to wild ramification. An optimal answer would look like Cohen—Seidenberg-type theorems for spectra of centers of F-purity. In this talk, I will report on work in progress with A. Fayolle (U. of Utah) where we address this question.