Pure Local Systems Over Local Fields

22 avr. 2024, 12:00
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

Prof. Moritz Kerz (Universität Regensburg)

Description

In joint work with Hélène we study certain pure $l$-adic local systems on varieties over $p$-adic local fields which are analogs of variations of pure Hodge structures. In the talk I will explain an approach via tilting to the most basic open problems in this setting: analogs of limiting mixed Hodge structures and purity of cohomology for a curve.

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