Department of Mathematics

Algebra

  •  Eoin Mackall, University of Maryland
  •  Chow groups of Severi--Brauer varieties and biquaternion algebras
  •  10/27/2021
  •  4:00 PM - 5:00 PM
  •  Online (virtual meeting) (Virtual Meeting Link)
  •  Igor Rapinchuk (rapinchu@msu.edu)

The Chow groups of Severi--Brauer varieties associated to biquaternion division algebras were originally computed by Karpenko in the mid nineties. The main difficulty in these computations is determining whether or not CH^2, the group of codimension 2 cycles, contains nontrivial torsion; for these varieties this group is torsion-free. Since his original proof, Karpenko has given two other proofs of this result. All of these proofs involve some clever use of K-theory to determine relations between some explicit cycles. In this talk, I'll discuss a new geometric method that one can use to determine these same relations. Passcode: MSUALG

 

Contact

Department of Mathematics
Michigan State University
619 Red Cedar Road
C212 Wells Hall
East Lansing, MI 48824

Phone: (517) 353-0844
Fax: (517) 432-1562

College of Natural Science