Explicit Serre weights for two-dimensional Galois representations

par Dr Misja F.A. STEINMETZ

jeudi 25 mars 2021, 14:00 → 15:00 Europe/Paris

The Serre weight conjectures are conjectures that, roughly speaking, predict the weight of a modular form from which a given mod p Galois representation arises. Starting from Serre's original conjecture for classical modular forms, I will give a motivated approach towards correct generalisations of the Serre weight conjectures to Hilbert modular forms. Then I'll talk about new results giving a more explicit version of the weight conjectures for Hilbert modular forms. Time permitting, I will mention recent progress in using these new results to obtain a new proof of the weight conjectures for Hilbert modular forms in generic cases.