Back to Commutative Algebra Seminar: Spring 2020
Commutative Algebra Seminar
Date: Friday, Feb 14, 2020
Time: 2:30PM - 3:20PM
Location: LCB 215
Akhil Mathew
University of Chicago
Title |
The arc-topology |
Abstract |
I will discuss a Grothendieck topology on the category of quasi-compact quasi-separated schemes called the “arc-topology.” Covers in the arc-topology are tested via rank <=1 valuation rings. This topology is motivated by classical questions in algebraic K-theory, and leads to Mayer-Vietoris style sequences. Our main result is that étale cohomology with torsion coefficients satisfies arc-descent. This is joint work with Bhargav Bhatt. |
Commutative Algebra