# Algebra Seminar

Date:

09/18/2019 - 2:00pm to 3:00pm

Location:

107 POT

Speaker(s) / Presenter(s):

Courtney George, University of Kentucky

Title: Metric graphs and points in the tropical variety of the Coble quartic

Abstract: For a given polynomial, we can think of the Groebner fan as the dual fan of the polynomial's Newton polytope. By utilizing techniques in tropical geometry and combinatorics, we are able to better understand the Groebner fan of a particular polynomial, the Coble quartic. After establishing a background in Groebner theory and algebraic geometry through definitions and examples, we will go through the procedure for using genus-3 directed graphs to determine points in the tropicalization of the Coble quartic.

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