Center Seminar on Mondays

Center for Advanced Studies Seminar on Mondays at 14.30 at Skoltech

October 23, 2017
Michael Finkelberg

Relativistic open Toda lattice and shifted affine quantum algebras (continuation)

Motivated by the mysterious relation between the spherical nil-DAHA of a reductive
group G (the equivariant K-theory of its affine Grassmannian) and its Levi subgroup, we
consider it from the point of view of relativistic Toda lattice. For G = SL(n), its phase
space coincides with a multiplicative version of zastava for SL(2). It is a special case of
multiplicative slices in the affine Grassmannians arising as Coulomb branches of 4d N = 2
SUSY quiver gauge theories. We study a multiplication operation on slices (a classical
analogue of the above relation), and its quantization in terms of shifted affine quantum
algebras. This is a joint work with Alexander Tsymbaliuk


November 13, 2017 / Pascal Hubert
(Aix-Marseille Univ.)
December 11, 2017 / Henning Haahr Andersen