Quantum toroidal algebras, affine Yangians and abelian qKZ equations

Dec 10, 2025, 3:00 PM
1h
Department of Mathematics (Aula Magna)

Department of Mathematics

Aula Magna

University of Pisa, Italy

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.

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