XXXVI Workshop on Geometric Methods in Physics 2-8.07.2017
VI School on Geometry and Physics 26-30.06.2017

Alexander Zheglov

Quantum integrable systems and torsion free sheaves on algebraic varieties

I will talk about the correspondence between quantum integrable systems and algebro-geometric spectral data. The most important ingredient of these data are spectral sheaves --- torsion free sheaves of special kind on algebraic varieties. I will also discuss how explicit is this correspondence, in particular, could we produce integrable systems starting from spectral data, even if the spectral variety has dimension greater than one. Part of the results in the talk are joint work with Igor Burban (Cologne) and with Herbert Kurke (Berlin).

Event sponsored by:
Centre de recherches mathématiques          University
of Bialystok
University of Bialystok

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