Combinatorics of the tropical moduli space of curves and Outer space

Melody Chan (Harvard)

A tropical curve is a metric graph marked with integer vertex weights obtained as a metrized dual graph of a semistable model of a curve over a valued field. We will review the construction of the tropical moduli space of genus g tropical curves with n marked points and report on joint work with M. Melo and F. Viviani studying Outer Space, as constructed by Culler and Vogtmann, as a Teichmuller analogue in tropical geometry.

Tuesday, March 19th, at 4:00pm in HBH 227

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