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SUMMARY:Adam Logan (Carleton University)
DTSTART:20250304T210000Z
DTEND:20250304T220000Z
DTSTAMP:20260423T130313Z
UID:MITNT/110
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITNT/110/">
 Kodaira dimension of Hilbert modular threefolds</a>\nby Adam Logan (Carlet
 on University) as part of MIT number theory seminar\n\nLecture held in Roo
 m 2-449 in the Simons Building (building 2).\n\nAbstract\nFollowing a meth
 od introduced by Thomas-Vasquez and developed by Grundman\,\nwe prove that
  many Hilbert modular threefolds of arithmetic\ngenus $0$ and $1$ are of g
 eneral type\, and that some are of nonnegative\nKodaira dimension.  The ne
 w ingredient is a detailed study\nof the geometry and combinatorics of tot
 ally positive integral elements\n$x$ of a fractional ideal $I$ in a totall
 y real number field $K$ with\nthe property that tr $xy < $ min $I$ tr $y$ 
 for some $y \\gg 0 \\in K$.\n
LOCATION:https://researchseminars.org/talk/MITNT/110/
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