On the plectic conjecture

Daniel Li-Huerta (Harvard University)

18-Apr-2023, 20:30-21:30 (11 months ago)

Abstract: Nekovář–Scholl observed that the étale cohomology groups of Hilbert modular varieties enjoy the action of a much larger profinite group than the absolute Galois group of $\mathbb{Q}$: the plectic Galois group. They conjectured that this action extends to the level of complexes, which would give a construction of canonical classes in higher wedge powers of Selmer groups. I'll explain how this works, as well as discuss analogues over local fields and global function fields.

algebraic geometrynumber theory

Audience: researchers in the topic


MIT number theory seminar

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Past semesters

Organizers: Edgar Costa*, Siyan Daniel Li-Huerta*, Bjorn Poonen*, David Roe*, Andrew Sutherland*, Robin Zhang*, Wei Zhang*, Shiva Chidambaram*
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