Piecewise polynomials and the moduli space of curves

Dhruv Ranganathan (U. Cambridge)

18-Jun-2021, 14:00-15:00 (3 years ago)

Abstract: Tropical geometry selects natural “principal contributions” in an intersection of two varieties inside a third, provided the three objects are equipped with a tropicalization (also known as a logarithmic structure). When one is working inside the moduli space of curves, these contributions are geometrically meaningful. I’ll try to explain both why they are interesting (via joint work with Renzo Cavalieri and Hannah Markwig) and how to understand them conceptually (via joint work with Sam Molcho). The main protagonist in the story is the ring of piecewise polynomial functions on the tropicalization of the moduli space of curves.

algebraic geometrycombinatorics

Audience: researchers in the topic


(LAGARTOS) Latin American Real and Tropical Geometry Seminar

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Organizers: Alicia Dickenstein*, Ethan Cotterill*, Cristhian Garay López*
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