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