University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Cherednik algebra, Calogero-Moser space and Bethe ansatz

Cherednik algebra, Calogero-Moser space and Bethe ansatz

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Algebraic Lie Theory

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.

This talk is part of the Isaac Newton Institute Seminar Series series.

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