Tropical methods in Brill-Noether theory.

Sam Payne


Brandeis University

Thursday, September 17, 2015

Talk at 4:30 p.m. in 317 Goldsmith Hall

Tea at 4:00 p.m. in 100 Goldsmith Hall


Abstract: Riemann-Roch theory for graphs, as developed in the work of Baker-Norine, points to the existence of deep combinatorial structures related to the classical algebraic geometry of linear series on algebraic curves. In this talk I will survey joint work with Cools-Draisma-Robeva, and with Jensen, pursuing this line of reasoning to give tropical proofs of the Brill-Noether and Gieseker-Petri theorems, which describe the dimension and local structure of the moduli spaces parametrizing linear series of given degree and rank on a general curve, as well as new progress toward the Maximal Rank Conjecture.

Home Web page: Alexandru I. Suciu Posted: September 7, 2015
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