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SUMMARY:Daniel Li-Huerta (Harvard University)
DTSTART:20230418T203000Z
DTEND:20230418T213000Z
DTSTAMP:20260423T125940Z
UID:MITNT/67
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITNT/67/">O
 n the plectic conjecture</a>\nby Daniel Li-Huerta (Harvard University) as 
 part of MIT number theory seminar\n\nLecture held in Room 2-449 in the Sim
 ons Building (building 2).\n\nAbstract\nNekovář–Scholl observed that t
 he étale cohomology groups of Hilbert modular varieties enjoy the action 
 of a much larger profinite group than the absolute Galois group of $\\math
 bb{Q}$: the <i>plectic Galois group</i>. They conjectured that this action
  extends to the level of complexes\, which would give a construction of ca
 nonical classes in higher wedge powers of Selmer groups. I'll explain how 
 this works\, as well as discuss analogues over local fields and global fun
 ction fields.\n
LOCATION:https://researchseminars.org/talk/MITNT/67/
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