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Sorbonne Université CNRS Paris Diderot

Séminaire Théorie des Nombres


Comparison of relatively unipotent log-de Rham fundamental groups

Bruno Chiarellotto - Università degli studi di Padova

lundi 14 janvier 2019 à 14:00
Jussieu salle 15-25 502

We investigate, in characteristic 0, the compatibilities of various definitions of relatively unipotent log-de Rham fundamental groups for certain proper log-smooth integral morphisms of log-schemes. All the definitions are algebraic : this will allow us to give a purely algebraic proof of the p-adic good reduction criterium for curves (as given by Andreatta-Iovita-Kim). This is a joint work with Di Proietto and Shiho.

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