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SUMMARY:Noam David Elkies (Harvard)
DTSTART:20220510T203000Z
DTEND:20220510T213000Z
DTSTAMP:20260423T130433Z
UID:MITNT/51
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITNT/51/">A
 belian surfaces with a (1\,2) polarization and full level-2 structure</a>\
 nby Noam David Elkies (Harvard) as part of MIT number theory seminar\n\nLe
 cture held in Room 2-449 in the Simons Building (building 2).\n\nAbstract\
 nAbstract: The moduli threefold of principally polarized abelian surfaces\
 nwith full level-2 structure is well understood thanks to its close\nconne
 ction with the moduli space $M_{0\,6}$ of six points on ${\\bf P}^1$.\nThe
  moduli threefolds of (1\,d)-polarized surfaces with d>1 are more elusive.
 \nWe report on our recent work on the d=2 case with full level-2 structure
 .\nHere the moduli threefold is still rational\, and comes with\nan action
  of a group G isomorphic with ${\\rm Aut}(S_4^2)$ instead of $S_6$.\nWe us
 e elliptic fibrations of the Kummer surface to give\nseveral models of thi
 s moduli threefold together with the G-action.\n
LOCATION:https://researchseminars.org/talk/MITNT/51/
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