XXXIX Workshop on Geometric Methods in Physics | 19.06–25.06.2022 |
XI School on Geometry and Physics | 27.06–1.07.2022 |
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Sergei TabachnikovIntegrable transformations on centroaffine polygonsOne can interpret the famous Korteweg-de Vries equation as a completely integrable evolution on centroaffine curves. Accordingly, symmetries (the Backlund transformation) of the KdV equation also can be realized as transformations of centroaffine curves. I shall discuss a discrete version of these transformations, where the curves are replaced by polygons. The focus will be on the geometrical aspects of the problem. |
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University of Bialystok |