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SUMMARY:Sung Gi Park (Harvard University)
DTSTART:20231020T183000Z
DTEND:20231020T193000Z
DTSTAMP:20260406T162639Z
UID:agstanford/119
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/agstanford/1
 19/">Kodaira dimension and hyperbolicity for smooth families of varieties<
 /a>\nby Sung Gi Park (Harvard University) as part of Stanford algebraic ge
 ometry seminar\n\nLecture held in 383-N.\n\nAbstract\nIn this talk\, I wil
 l discuss the behavior of positivity\, hyperbolicity\, and Kodaira dimensi
 on under smooth morphisms of complex quasi-projective manifolds. This incl
 udes a vast generalization of a classical result: a fibration from a proje
 ctive surface of non-negative Kodaira dimension to a projective line has a
 t least three singular fibers. Furthermore\, I will explain a proof of Pop
 a's conjecture on the superadditivity of the log Kodaira dimension over ba
 ses of dimension at most three. These theorems are applications of the mai
 n technical result\, namely the logarithmic base change theorem.\n
LOCATION:https://researchseminars.org/talk/agstanford/119/
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