KP Solitons from Tropical Limits

Claudia Fevola (MPI MiS)

11-Mar-2021, 17:30-18:30 (3 years ago)

Abstract: In this talk, we present 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.

algebraic geometrynumber theory

Audience: researchers in the topic


SFU NT-AG seminar

Series comments: Description: Research/departmental seminar

Seminar usually meets in-person. For online editions, the Zoom link is shared via mailing list.

Organizers: Katrina Honigs*, Nils Bruin*
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