Séminaire de Physique ThéoriqueRadial part calculations for affine sl2
Stefan Kolb (Newcastle University, UK)
Thursday 15 May 2014 14:00 - Tours - Salle 1180 (Bât E2)
In their seminal work in the 70s Olshanetsky and Perelomov used radial part calculations for symmetric spaces to prove integrability of the Calogero-Moser Hamiltonian for special parameters. In this talk I will explain these notions. Then, restricting to affine sl2, I will try to explain what happens if one extends their argument to Kac-Moody algebras. One obtains a blend of the KZB-heat equation with Inozemtsev's extension of the elliptic Calogero-Moser Hamiltonian.