Panasyuk A. Veronese webs and nonlinear PDEs, talk at The Workshop on Integrable Nonlinear Equations, 18-24 October 2015, Mikulov, Czech Republic (abstract)

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Speaker: Andriy Panasyuk

Title: Veronese webs and nonlinear PDEs

Abstract:
It is known that a geometric structure of a Veronese web is described by the Hirota dispersionless nonlinear equation. Seen as Lorentzian hyper-CR EinsteinпWeyl space the same structure is given by the so-called hyper-CR equation. In this talk we propose a simple geometric procedure of generating different nonlinear PDEs describing Veronese webs and interpolating between two equations mentioned. Bäcklund transformations between different types will be also discussed.

A joint work with Boris Kruglikov.

Slides: Panasyuk A. Veronese webs and nonlinear PDEs (presentation at The Workshop on Integrable Nonlinear Equations, 18-24 October 2015, Mikulov, Czech Republic).pdf