Seminar talk, 25 November 2026: Difference between revisions
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Latest revision as of 12:22, 7 October 2026
Speaker: Leonid Bogdanov
Title: Orlov–Schulman symmetries of multidimensional dispersionless integrable hierarchies
Abstract:
We construct Orlov-Schulman symmetries for multidimensional dispersionless integrable hierarchies, focusing on illustrative examples of the (2+1)-dimensional Manakov-Santini (MS) hierarchy and (2+2)-dimensional self-dual conformal structure (SDCS) hierarchy. We provide an explicit proof of compatibility of additional symmetries with the basic Lax-Sato flows of the hierarchy, and consider several simple examples of the symmetries, including Galilean transformations and scalings. We also present a description of Orlov-Schulman symmetries in terms of a dressing scheme based on the Riemann-Hilbert problem.
References:
arXiv:2509.19923, arXiv:2604.19282