Seminar Event Detail


Combinatorics

Date:  Friday, September 12, 2014
Location:  3866 East Hall (4:10 PM to 5:00 PM)

Title:  Curves in the Tropical Plane

Abstract:   Smooth curves in the tropical plane correspond to unimodular triangulations of lattice polygons. The skeleton of such a curve is a metric graph whose genus is the number of lattice points in the interior of the polygon. In this lecture we report on joint work with Sarah Brodsky, Michael Joswig and Ralph Morrison concerning the following realizability problem: Characterize all metric graphs that admit a planar representation as a tropical curve. For instance, 20 percent of metric graphs with genus 3 have this property.

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Speaker:  Bernd Sturmfels
Institution:  UC Berkeley

Event Organizer:     

 

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