Harvard-MIT Algebraic Geometry Seminar
Tuesday, February 11, 2020 at 3:00pm to 4:00pm
Harvard Science Center, SC-507 1 Oxford St, Cambridge, MA 02138
Featured Speaker: Yoav Len (Georgia Tech)
Title: Brill-Noether Theory of Prym Varieties
Abstract: The talk will revolve around combinatorial aspects Prym varieties, a class of Abelian varieties that occurs in the presence of double covers. Pryms have deep connections with torsion points of Jacobians, bi-tangent lines of curves, and spin structures. As I will explain, problems concerning Pryms may be reduced, via tropical geometry, to combinatorial games on graphs. As a consequence, we obtain new results concerning the geometry of special algebraic curves, and bounds on dimensions of certain Brill–Noether loci.
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