Comparison of cohomology operations in motivic and etale cohomology

by Prof. Roy Joshua (Ohio State University, Columbus, Ohio)

Tuesday 9 Jul 2013, 16:00 → 17:00 Asia/Kolkata

AG-77 (Colaba Campus)

ABSTRACT: There are certain other operations, distinct from the cohomology operations introduced by Voevodsky in motivic (and etale) cohomology with finite coefficients. These behave differently with respect to weights and are often called classical or simplicial operations. The talk will discuss the precise relationship between these operations and the motivic operations of Voevodsky. We will also look briefly at the source of the classical operations, which is a certain coherently homotopy commutative and associative ring structure on the motivic complex. This is largely joint work with Patrick Brosnan.