Workshop
On the semi-simplicity conjecture for Qab
- Marco D'Addezio (Freie Universität Berlin, Berlin, Germany)
Abstract
We survey some old and new developments of the Grothendieck-Serre-Tate conjectures, with a particular attention to the semi-simplicity conjecture. We recall the role of Deligne's theory of weights for the semi-simplicity conjecture in positive characteristic. Then we switch to characteristic 0 and we explain some analogies with the previous situation.