|XXXIX Workshop on Geometric Methods in Physics||19.06–25.06.2022|
|XI School on Geometry and Physics||27.06–1.07.2022|
Participants of Workshop
Participants of School
|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.|
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.
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