1-2-3 Seminar: What is a break divisor and how can we study them?

Natasha Crepeau, University of Washington
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PDL C-401

A divisor on a graph is an assignment of integers to the vertices of the graph. We can go from one divisor to another by performing a sequence of  "chip-firing moves". One special type of divisor are break divisors, which are induced by a spanning tree and orientation of edges not in the tree. In this talk, we will examine properties of break divisors and define generalized break divisors. We will also discuss connections to Jacobians and results in the genus 1 case.

Zoom Link: https://washington.zoom.us/j/92849568892

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