Number Theory Seminar

p-adic L-functions for nearly finite slope Hilbert modular forms and the Exceptional Zero Conjecture

Mladen Dimitrov, Mathematics Department, Université Lille 1,

We attach p-adic L-functions and improved variants thereof to families of nearly finite slope cohomological Hilbert modular forms, and use them to prove the Greenberg-Benois exceptional zero conjecture at the central point for forms which are Iwahori spherical at p. This is a joint work with Daniel Barrera and Andrei Jorza.

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