Some applications of Witt vectors to 3-dimensional MMP of positive characteristic

Date: 
2015/11/27 Fri 10:30 - 12:00
Room: 
Room 152, Building No.3
Speaker: 
Hiromu Tanaka
Affiliation: 
Imperial College London
Abstract: 

I will talk about some applications of the Witt vector cohomology to the 3-dimensional minimal model theory of positive characteristic. We show that klt threefolds, whose characteristic are larger than 5, have Witt rational singularities (the Witt version of rational singularities). Using this, we prove that a klt Fano threefold over a finite field contains a rational point. This is a joint work with Y. Gongyo and Y. Nakamura.