XXXIX Workshop on Geometric Methods in Physics 19.06–25.06.2022
XI School on Geometry and Physics 27.06–1.07.2022
In order to secure the right conditions for our Workshop we have decided to exceptionally move (only for this year's meeting) the site of our Workshop to the campus of our University in Białystok.

Artur Sergyeyev


Integrable systems in higher dimensions: a new perspective


The search for partial differential systems in four independent variables that are integrable in the sense of soliton theory is a problem of longstanding interest, as according to general relativity our spacetime is four-dimensional and for a long time it appeared that such systems are very scarce. We show that this is not really the case. Namely, we will present an explicit effective construction that produces inter alia two infinite families of integrable systems in four independent variables as well as e.g. the first example of a system of this kind with nonisospectral Lax pair which is algebraic, rather than rational, in the spectral parameter.







Event sponsored by:
University
of Bialystok
University of Bialystok






Webpage by: Tomasz GolinskiTomasz Golinski