Algebra Seminar

02/19/2020 - 2:00pm to 3:00pm
745 POT
Speaker(s) / Presenter(s): 
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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