# Seminario di Teoria di Geometria: Arithmetic Differential Operators on Adic Formal Schemes

## Venerdì 6, Giovedì 12 e Venerdì 13 Maggio 2016 - Richard Crew

ARGOMENTI: Seminari

Seminario di Teoria di Geometria

Richard Crew (University of Florida) terrà un seminario dal titolo "Arithmetic Differential Operators on Adic Formal Schemes" nei giorni ed aule indicati:
Venerdì 6 Maggio 2016, ore 14:00-16:00 - Aula 2AB40
Giovedì 12 Maggio 2016, ore 14:00-16:00 - Sala Riunioni VII Piano
Venerdì 13 Maggio 2016, ore 14:00-16:00 - Aula 2AB40

Abstract
We show that Berthelot's theory of arithmetic differential operators relative to a smooth morphism can be generalized to the case of formally smooth morphisms satisfying a weak finiteness condition. For example if $Y \rightarrow S$ is a smooth morphism of locally noetherian adic formal schemes and $X$ is the completion of $Y$ along a closed subscheme, the theory applies to $X \rightarrow S$. If time permits, I will give applications to overconvergent isocrystals and rigid cohomology.