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SUMMARY:Jack Petok (Darthmouth)
DTSTART:20211023T140000Z
DTEND:20211023T142000Z
DTSTAMP:20260423T024557Z
UID:AGNES/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AGNES/1/">Ko
 daira dimensions of some moduli spaces of hyperkähler fourfolds</a>\nby J
 ack Petok (Darthmouth) as part of Algebraic Geometry NorthEastern Series (
 AGNES)\n\n\nAbstract\nThe Noether-Lefschetz locus in a moduli space of K3^
 [2]-fourfolds parametrizes fourfolds with Picard rank at least 2. Followin
 g Hassett’s work on cubic fourfolds\, Debarre\, Iliev\, and Manivel show
 ed that the Noether-Lefschetz locus in the moduli space of degree 2 K3^[2]
 -fourfolds is a countable union of special divisors indexed by discriminan
 t d. In this talk\, we compute the Kodaira dimensions of these special div
 isors for all but finitely many discriminants\; in particular\, we show th
 e divisors for discriminants greater than 224 are all of general type.\n
LOCATION:https://researchseminars.org/talk/AGNES/1/
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