Brill–Noether theory of Prym varieties

Algebra Seminar
Monday, January 13, 2020 - 3:00pm for 1 hour (actually 50 minutes)
Skiles 005
Yoav Len – Georgia Tech –
Justin Chen

The talk will revolve around combinatorial aspects of Abelian varieties. I will focus on Pryms, a class of Abelian varieties that occurs in the presence of double covers, and have deep connections with torsion points of Jacobians, bi-tangent lines of curves, and spin structures. I will explain how problems concerning Pryms may be reduced, via tropical geometry, to problems on metric graphs. As a consequence, we obtain new results concerning the geometry of special algebraic curves, and bounds on dimensions of certain Brill–Noether loci.