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)

Date Range
2021-12-06 16:15:00 2021-12-06 17:15:00 p-adic de Rham Galois representations in the completed cohomology of modular curves 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. Zoom (email organizers for the link) America/New_York public

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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