17 octobre 2024
Le Bois-Marie
Fuseau horaire Europe/Paris

Relative Poincaré Duality in Non Archimedean Geometry

17 oct. 2024, 11:45
1h
Centre de conférences Marilyn et James Simons (Le Bois-Marie)

Centre de conférences Marilyn et James Simons

Le Bois-Marie

35, route de Chartres 91440 Bures-sur-Yvette

Orateur

Emanuel Reinecke (IHES)

Description

In my talk, I will explain a relative version of mod-p Poincare duality for any proper morphism of rigid-analytic varieties over a p-adic field. A key ingredient in the proof will be a novel construction of trace maps for smooth morphisms and for proper morphisms of rigid-analytic varieties. Along the way, I will sketch a new and essentially diagrammatic proof of mod-p Poincare duality for smooth and proper morphisms. Joint work with Shizhang Li and Bogdan Zavyalov.

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