Speaker
Andrea Appel
(Università degli Studi di Parma)
Description
In this talk, I will present the construction of abelian meromorphic R-matrices for quantum toroidal algebras, providing a meromorphic braiding on category O representations with respect to the (rational) tensor product induced by Drinfeld coproduct. I will then explain how, under the equivalence of Gautam and Toledano Laredo, these R-matrices compute the monodromy of the abelian qKZ equations for the corresponding affine Yangians. This is based on joint work with S. Gautam.