On the Chow rings of classifying spaces for classical groups

Abstract

We show how the stratification method, introduced by Vezzosi in his study of PGL_3, provides a unified approach to the known computations of the Chow rings of the classifying spaces of GL_n, SL_n, Sp_n, O_n and SO_n.

24 pages

Cited by in corpus (10)

• Algebraic Cobordism of Classifying Spaces
• On the cohomology and the Chow ring of the classifying space of PGL_p
• Some torsion classes in the Chow ring and cohomology of $BPG{L}_n$
• Stacks of trigonal curves
• $PG{L}_2$-equivariant strata of point configurations in ${\mathbb{P}}^1$
• Further counterexamples to the integral Hodge conjecture
• On motivic obstructions to Witt cancellation for quadratic forms over schemes
• The motivic cohomology of BSO_n
• A distinguished subring of the Chow ring and cohomology of $BPG{L}_n$
• Connective K-theory and Adams operations