Universiteit Leiden Mathematisch Instituut
Geometry Seminar

Tuesday, 24 October 2006, 16:00 - 17:00, room 401.

Franck Doray: Chow groups of homogeneous projective varieties.

Abstract:

We construct explicit isomorphisms to describe projective homogeneous varieties under PGL(A) for a simple central algebra A as a chain of generalized Severi-Brauer variety fibrations. If we have time, we give with the same methods a proof of a result by Karpenko about the decomposition of the motive of the Severi-Brauer variety associated to M_nA for an integer n, and a simple central algebra A.