MATH Seminar

Title: Chow groups with coefficients and generalized Severi-Brauer varieties
Seminar: Algebra
Speaker: Patrick McFaddin of University of Georgia
Contact: David Zureick-Brown, dzb@mathcs.emory.edu
Date: 2016-02-02 at 4:00PM
Venue: W304
Download Flyer
Abstract: The theory of algebraic cycles on homogenous varieties has seen many useful applications to the study of central simple algebras, quadratic forms, and Galois cohomology. Significant results include the Merkurjev-Suslin Theorem and Suslin's Conjecture, recently proved by Merkurjev. Despite these successes, a general description of Chow groups and Chow groups with coefficients remains elusive, and computations of these groups are done in various cases. In this talk, I will give some background on K-cohomology groups of Severi-Brauer varieties and discuss some recent work on computing these groups for an algebra of index 4.