### mod p Hilbert modular forms

Linfoot Number Theory Seminar

18th October 2023, 11:00 am – 12:00 pm

Fry Building, 4th Floor Seminar Room

Serre's conjecture tells us that an odd, irreducible mod p Galois representation arises from a mod p modular form. A similar phenomenon for totally real fields and Hilbert modular forms has also been conjectured. In this talk, we'll introduce the definition of Hilbert modular forms as sections of automorphic line bundles on Hilbert modular varieties. We'll also discuss about the liftability from characteristic p to characteristic 0.

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