Hall 123

Comparison of cohomology operations in motivic and etale cohomology

Roy Joshua

Ohio State University, Ohio

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 and
consider some applications
of this structure.