Algebraic Geometry Seminar: Kirill Zainoulline
- Date: 10/24/2011
- Time: 15:00
Lecturer(s):
Kirill Zainoulline (University of Ottawa)
Location:
University of British Columbia
Topic:
Equivariant pretheories and invariants of torsors
Description:
Abstract:We will introduce and study the notion of an equivariant pretheory. Basic examples include equivariant Chow groups, equivariant K-theory and equivariant algebraic cobordism. As an application we generalize the theorem of Karpenko-Merkurjev on G-torsors and rational cycles; to every G-torsor E and a G-equivariant pretheory we associate a graded ring which serves as an invariant of E. In the case of Chow groups this ring encodes the information concerning the motivic J-invariant of E and in the case of Grothendieck's K_0 -- indexes of the respective Tits algebras.
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