Date: Wednesday, December 04, 2019
Location: 4096 East Hall (4:00 PM to 5:20 PM)
Title: ominimal GAGA and applications to Hodge theory
Abstract: For a complex projective variety, Serre's classical GAGA theorem asserts that the analytification functor from algebraic coherent sheaves to analytic coherent sheaves is an equivalence of categories. For nonproper varieties, however, this theorem easily fails. In joint work with Y. Brunebarbe and J. Tsimerman, we show that a GAGA theorem holds even in the nonproper case if one restricts to analytic structures that are "tame" in a sense made precise by the notion of ominimality. This result has particularly important applications to Hodge theory, and we will explain how it can be used to prove a conjecture of Griffiths on the quasiprojectivity of the images of period maps. We will also discuss some applications to moduli theory.
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Speaker: Benjamin Bakker
Institution: University of Georgia
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