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Algebra
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Lue Pan , PMA 9.166: Regular de Rham Galois representations in the completed cohomology of modular curves
Thursday, October 06, 2022, 10:00am - 11:00am
Let $p$ be a prime. I want to explain how to use the geometry of modular curves at infinite level and the Hodge-Tate period map to study regular de Rham $p$-adic Galois representations appearing in the $p$-adically completed cohomology of modular curves. We will show that these Galois representations up to twists come from modular forms and give a geometric description of the locally analytic representations of GL2(Qp) associated to them. These results were previously known by totally different methods.
Location: PMA 9.166

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