XXXVIII Workshop on Geometric Methods in Physics 30.06-6.07.2019
VIII School on Geometry and Physics 24-28.06.2019

Atsushi Nakayashiki

Sato Grassmannian approach to degenerations of tau functions

We study degenerations of solutions (tau functions) of the Kadomtsev-Petviashvili (KP) equation corresponding to non-singular algebraic curves when they degenerate to singular curves. We use Sato Grassmannian to study this problem. It reduces the problem to simpler problem on frames. We show that, in the case of trigonal curves, degenerate tau functions are expressed as sums of derivatives of non-degenerate tau functions corresponding to lower genus curves. The talk is partly based on the joint work with J. Bernatska and V. Enolski.

Event sponsored by:
of Bialystok
University of Bialystok

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