Florian Herzig: On de Rham lifts of local Galois representations
Автор: Centre International de Rencontres Mathématiques
Загружено: 2015-08-05
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It is an open problem to show that a given n-dimensional mod p local Galois representation \rho has a (regular) de Rham lift. We discuss several results concerning the existence of de Rham lifts of \rho of prescribed weights and types, assuming that \rho admits a nice lift to start with (for example, a Fontaine-Laffaille lift). Our arguments combine local and global methods. This is joint work with T. Gee, T. Liu, and D. Savitt.
Recording during the thematic meeting: "Arithmetic geometry, representation theory and applications" the June 25, 2015 at the Centre International de Rencontres Mathématiques (Marseille, France)
Filmmaker: Guillaume Hennenfent
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