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Higher Hida theory and a Jacquet-Langlands correspondence for ordinary p-adic Hilbert modular forms

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  • UserGeorge Boxer (Imperial College London)
  • ClockTuesday 14 October 2025, 14:30-15:30
  • HouseMR13.

If you have a question about this talk, please contact Bence Hevesi .

I will introduce higher Hida theory for Hilbert modular forms. This is a theory of higher coherent cohomological ordinary p-adic modular forms, which can be thought of as p-adically interpolating non holomorphic Hilbert modular forms. Then I will explain a Jacquet-Langlands type correspondence with certain quaternionic modular forms, which is explained by the existence of “exotic Hecke correspondences” which exist modulo powers of p. This is joint work with Vincent Pilloni.

This talk is part of the Number Theory Seminar series.

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