School of Mathematics Colloquium

Mixed characteristic birational algebraic geometry

by Prof. Karl Schwede (University of Utah)

Thursday, August 26, 2021 from to (Asia/Kolkata)
at over zoom
Description
Abstract: Recently, Bhargav Bhatt has proved a vanishing theorem for sheaf
cohomology on certain non-Noetherian schemes.  I will explain
how this vanishing theorem is related to various classical vanishing
results in characteristic zero and p.  I will then discuss how we can use
this to prove geometric results in birational algebraic geometry in mixed
characteristic. This is joint work with Bhatt, Ma, Patakfalvi, Tucker,
Waldron and Witaszek.