|Date: Wednesday, December 04, 2019
Location: 4096 East Hall (4:00 PM to 5:20 PM)
Title: o-minimal 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 non-proper 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 non-proper case if one restricts to analytic structures that are "tame" in a sense made precise by the notion of o-minimality. 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.
Speaker: Benjamin Bakker
Institution: University of Georgia