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Seminar des SFB/TRR 326 GAUS A Moduli-Theoretic Approach to Sen Theory
- Termin in der Vergangenheit
- Freitag, 25. Oktober 2024, 13:30 - 15:00 Uhr
- INF 205, SR A
- Ben Heuer
Adresse
INF 205, SR A
Veranstalter
Prof. Dr. Otmar Venjakob
Veranstaltungstyp
Vortrag
Classical Sen theory describes Cp-semilinear representations of Galois groups of p-adic fields in terms of linear algebra data called Sen modules. I will first explain how this theory can be reinterpreted geometrically in terms of v-vector bundles, creating a relation to the p-adic Simpson correspondence. I will then explain how one can use this to upgrade Sen's Theorem to a comparison of moduli spaces of Galois representations and Sen modules: This explains known subtleties in classical Sen theory in a geometric fashion. Finally, I will describe how we can use this to study moduli spaces of (phi,Gamma)-modules. This is joint work-in-progress with Eugen Hellmann.