Cherednik algebra, Calogero-Moser space and Bethe ansatz
Seminar Room 1, Newton Institute
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.