Speakers:   Daniel Li-Huerta (Harvard University)

Nekovář–Scholl observed that the ´etale cohomology groups of Hilbert modular varieties enjoy the action of a much larger profinite group than the absolute Galois group of 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.
—–
This is in-person only. Masks are encouraged, but not required