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).