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SUMMARY:Jacobians of tropical curves and finite graphs (Carrie Frizzell\, Scripps)
DESCRIPTION:A Jacobian variety is a principally polarized abelian variety (PPAV) associated with a smooth complex algebraic curve. For dimensions less than or equal to 3\, every PPAV is either a Jacobian or a product of Jacobians. The Schottky problem concerns dimensions 4 and greater: which PPAVs are Jacobians? The Schottky problem can also be posed in the tropical setting\, in which the Jacobian of a tropical curve is a real torus. We will spend most of the talk discussing tropical Jacobians and their discrete counterparts\, but we will also survey a few results related to the aforementioned Schottky problem.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-carrie-frizzell-scripps/
LOCATION:Estella 2113
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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