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Cherednik algebra, Calogero-Moser space and Bethe ansatz

Wednesday 25th March 2009 - 11:30 to 12:30
INI Seminar Room 1
We show that the center of the rational Cherednik algebra is naturally identified with a Bethe algebra of the Gaudin model. At the same time, using the algebraic Bethe ansatz we prove that the Bethe algebra is isomorphic to the space of regular functions on the Calogero-Moser space. We discuss the implications of these constructions.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons