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SUMMARY:Christian Schnell (Stony Brook)
DTSTART:20211012T150000Z
DTEND:20211012T160000Z
DTSTAMP:20260423T021527Z
UID:DerSem/28
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/DerSem/28/">
 Finiteness for self-dual classes in variations of Hodge structure</a>\nby 
 Christian Schnell (Stony Brook) as part of Derived seminar\n\n\nAbstract\n
 I will talk about a new finiteness theorem for variations of Hodge structu
 re. It is a generalization of the Cattani-Deligne-Kaplan theorem from Hodg
 e classes to so-called self-dual (and anti-self-dual) classes. For example
 \, among integral cohomology classes of degree 4\, those of type (4\,0) + 
 (2\,2) + (0\,4) are self-dual\, and those of type (3\,1) + (1\,3) are anti
 -self-dual. The result is suggested by considerations in theoretical physi
 cs\, and the proof uses o-minimality and the definability of period mappin
 gs. This is joint work with Benjamin Bakker\, Thomas Grimm\, and Jacob Tsi
 merman.\n
LOCATION:https://researchseminars.org/talk/DerSem/28/
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