Algebraic K-Theory Seminar
Daniel Bragg
Berkeley
Arithmetic B-fields and derived equivalences of twisted K3 surfaces
Abstract: Classically, a B-field is a certain rational cohomology class associated to a Brauer class on a variety. Applications include Huybrechts and Stellari's derived Torelli theorem for twisted K3 surfaces over the complex numbers. An analog in \'{e}tale cohomology was introduced by Lieblich, Maulik, and Snowden, who gave applications to the Tate conjecture for K3 surfaces. We will describe the crystalline realization of this construction, and give some applications to the derived categories of twisted K3 surfaces in positive characteristic.
Wednesday October 10, 2018 at 3:00 PM in 1227 SEO