Moduli of Fontaine-Laffaille modules and mod p local-global compatibility

Abstract: We introduce a set of invariant functions on the moduli of Fontaine-Laffaille modules and prove that they separate points on the moduli in a suitable sense. Consequently, we prove the following local-lobal compatibility result for suitable global set up and under standard Kisin-Taylor-Wiles conditions: the Hecke eigenspace attached to a modular mod \(p\) global Galois representation determines its restriction at a place unramified over \(p\), if the restriction is Fontaine-Laffaille and has a generic semisimplification. The genericity assumption is mild and explicit. This is a joint work with D. Le, B.V. Le Hung, S. Morra and C. Park.

algebraic geometrynumber theoryrepresentation theory

Audience: researchers in the topic

Comments: Zoom ID: 881 3287 2530

Zoom Password: 898924

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POINTS - Peking Online International Number Theory Seminar

Series comments: Description: Seminar on number theory and related topics

This seminar series is sponsored by the Beijing International Center of Mathematical Research (BICMR) and the School of Mathematical Sciences of Peking University.

The conference number and password are available on the external website. See also the announcements on bicmr.pku.edu.cn

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