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).
Back to main seminar page.