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Modularity of odd two-dimensional Galois representations over totally real fields

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  • UserShu Sasaki (Queen Mary University of London)
  • ClockTuesday 23 May 2023, 14:30-15:30
  • HouseMR13.

If you have a question about this talk, please contact Rong Zhou .

In this talk, I will report on my work in progress towards modularity of odd two-dimensional `non-cohomological’ Galois representations over totally real fields in (hopefully) two different contexts: (1) the geometric Serre weight conjecture (i.e. mod p Galois representations), as recently formulated in my joint work with F. Diamond and (2) the Fontaine-Mazur conjecture (i.e. p-adic Galois representations). The first part is joint work in progress with F. Diamond.

This talk is part of the Number Theory Seminar series.

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