KP solutions from tropical limits

Claudia Fevola (MPI Leipzig)

24-Mar-2023, 14:00-15:00 (12 months ago)

Abstract: The study of solutions to the The Kadomtsev-Petviashvili (KP) equation yields interesting connections between integrable systems and algebraic curves. In this talk, I will discuss solutions to the KP equation whose underlying algebraic curves undergo tropical degenerations. In these cases, Riemann’s theta function becomes a finite exponential sum supported on a Delaunay polytope. I will introduce the Hirota variety which parametrizes KP solutions arising from such a sum. This talk is based on joint works with Daniele Agostini, Yelena Mandelshtam, and Bernd Sturmfels.

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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