Séminaires : Séminaire Théorie des Nombres

Equipe(s) : fa, tn, tga,
Responsables :Marc Hindry, Bruno Kahn, Wieslawa Niziol, Cathy Swaenepoel
Email des responsables : cathy.swaenepoel@imj-prg.fr
Salle :
Adresse :



Orateur(s) Alexander Betts - MPIM,
Titre Weight--Monodromy and Canonical Paths on Varieties
Horaire14:00 à 15:00

We discuss an analogue of Deligne's weight-monodromy conjecture for the pro-unipotent fundamental groupoids of smooth varieties over mixed characteristic local fields, proved in the l=p case by Vologodsky and in general in joint work with Daniel Litt. One surprising consequence of this is that any two points in a smooth variety are connected by a canonical choice of "path". Time permitting, we will explain how, in the case of curves, these canonical paths admit a combinatorial description in terms of the reduction graph. This leads to a theory of refined Selmer varieties, and has consequences for the Chabauty-Kim method.

Sallesalle 502, couloir 15-25