An Approach to the Conservation of the Nearby Motive Functor

MOTIVIC COHOMOLOGY
Topic:An Approach to the Conservation of the Nearby Motive Functor
Speaker:Joseph Ayoub
Affiliation:Universitè Paris 7, France and Member, School of Mathematics
Date:Tuesday, February 6
Time/Room:2:00pm - 3:00pm/S-101

We present a program to prove the following conjecture: Let $S$ be the spectrum of a DVR of equi-characteristic zero with field of fraction $K$ and residue field $k$. The functor (associated to the choice of a uniformizing) $\Psi:DM_{gm}(K) \to DM_{gm}(k)$ is conservative (i.e. detects isomorphisms).