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Tropical moduli spaces of rational graphically stable curves

andy fry
January 26, 2021
3:00PM - 4:00PM
Zoom (email organizers for the link)

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Add to Calendar 2021-01-26 15:00:00 2021-01-26 16:00:00 Tropical moduli spaces of rational graphically stable curves Speaker:  Andy Fry (Colorado State University) Speaker's URL:  https://www.math.colostate.edu/~fry/ Abstract:  The tropical moduli space $M_{0,n}^{trop}$ is a cone complex which parameterizes leaf-labelled metric trees called tropical curves. Separately, Tevelev, and Gibney and Maclagan show that $M_{0,n}^{trop}$ is the geometric tropicalization of the classical moduli space of pointed curves $M_{0,n}$. In this talk, I will introduce a new stability condition on the moduli space given by the combinatorics of a graph $\Gamma$. I will also show that when $\Gamma$ is a complete multipartite graph, the tropical moduli space $M_{0,\Gamma}^{trop}$ is the geometric tropicalization of its classical counterpart $M_{0,\Gamma}$. Zoom (email organizers for the link) Department of Mathematics math@osu.edu America/New_York public

Speaker:  Andy Fry (Colorado State University)

Speaker's URL:  https://www.math.colostate.edu/~fry/

Abstract:  The tropical moduli space $M_{0,n}^{trop}$ is a cone complex which parameterizes leaf-labelled metric trees called tropical curves. Separately, Tevelev, and Gibney and Maclagan show that $M_{0,n}^{trop}$ is the geometric tropicalization of the classical moduli space of pointed curves $M_{0,n}$. In this talk, I will introduce a new stability condition on the moduli space given by the combinatorics of a graph $\Gamma$. I will also show that when $\Gamma$ is a complete multipartite graph, the tropical moduli space $M_{0,\Gamma}^{trop}$ is the geometric tropicalization of its classical counterpart $M_{0,\Gamma}$.

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