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p-adic de Rham Galois representations in the completed cohomology of modular curves

Number Theory Seminar
December 6, 2021
4:15 pm - 5:15 pm
Zoom (email organizers for the link)

Title:  p-adic de Rham Galois representations in the completed cohomology of modular curves

Speaker:  Lue Pan (Princeton University)

Speaker's URL:  https://sites.google.com/view/luepan/home

Abstract:  In this talk, I want to explain how to use the geometry of modular curves at infinite level and Hodge-Tate period map to study p-adic de Rham Galois representations appearing in the p-adically completed cohomology of modular curves. As an application, we will show that these representations up to twists come from modular forms, which previously was known by totally different methods.

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Seminar - Number Theory