|Title: Chow groups with coefficients and generalized Severi-Brauer varieties|
|Speaker: Patrick McFaddin of University of Georgia|
|Contact: David Zureick-Brown, firstname.lastname@example.org|
|Date: 2016-02-02 at 4:00PM|
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.
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