Abstracts for the Seminar
 Discrete Geometry and Combinatorics
 Spring 2018

Speaker:  Farbod Shokrieh, Cornell University
Title: Effective divisor classes on graphs
Time: 2:30 PM, Monday, March 26, 2018
Place:  Malott 206

Abstract: Graphs can be viewed as (non-Archimedean/tropical) analogues of Riemann surfaces. For example, there are well-behaved (and useful) notions of divisors, Riemann-Roch, and Abel-Jacobi theory on graphs. We introduce the notion of semibreak divisors, which provide nice representatives for effective divisor classes on graphs. We then discuss a few applications about the generic behavior of effective divisor classes, analogous to some classical results on Riemann surfaces. Proofs in this tropical setting are more subtle.

Joint work with Andreas Gross (Imperial College) and Lilla Tóthmérész (Cornell).


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