Abstracts
for the Seminar

Spring 2015

**Speaker: **Chi Ho Yuen, Georgia Institute of Technology

**Title: **Geometric Bijections Between Spanning Trees and Break Divisors

**Time:** 2:30 PM, Monday, April 13

**Place:** Malott 206

**Abstract:** The Jacobian group Jac(G) of a finite graph G is a group whose cardinality is the number of spanning trees of G. G also has a tropical Jacobian which has the structure of a real torus; using the notion of break divisors, one can obtain a polyhedral decomposition of the tropical Jacobian where vertices and cells correspond to the elements of Jac(G) and the spanning trees of G respectively. In this talk I will give a combinatorial description to bijections coming from this geometric setting, I will also show some previously known bijections can be related to these geometric bijections. This is joint work with Matthew Baker.

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