Algebraic and Tropical Prym Varieties

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• Yoav Len (Georgia Tech)
• Monday 13 May 2019, 14:00-15:00
• Watson Building (Mathematics, R15 on map) Lecture Room C.

If you have a question about this talk, please contact Tyler Kelly.

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My 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. This is joint work with Martin Ulirsch.

This talk is part of the Geometry and Mathematical Physics seminar series.

This talk is included in these lists:

• Bham Talks
• Geometry and Mathematical Physics seminar
• School of Mathematics events
• Watson Building (Mathematics, R15 on map) Lecture Room C

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