School of Mathematics Seminars and Lectures

Comparison of cohomology operations in motivic and etale cohomology

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

Tuesday, July 9, 2013 from to (Asia/Kolkata)
at Colaba Campus ( AG-77 )
Description
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.