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Workshop

KP Solitons from Tropical Limits

  • Claudia Fevola (Max Planck Institute for Mathematics in the Sciences)
G3 10 (Lecture hall)

Abstract

In this talk, we study solutions to the Kadomtsev-Petviashvili equation whose underlying algebraic curves undergo tropical degenerations. Riemann’s theta function becomes a finite exponential sum that is supported on a Delaunay polytope. We introduce the Hirota variety which parametrizes all tau functions arising from such a sum. After introducing solitons solutions, we compute tau functions from points on the Sato Grassmannian that represent Riemann-Roch spaces. This is joint work with Daniele Agostini, Yelena Mandelshtam and Bernd Sturmfels.

Saskia Gutzschebauch

Max Planck Institute for Mathematics in the Sciences Contact via Mail

Daniele Agostini

Max Planck Institute for Mathematics in the Sciences