Venue
Aula Magna (Dipartimento di Matematica).
Abstract
In the work of Kang, Kashiwara, and Kim, the Schur–Weyl duality between quantum affine algebras and affine Hecke algebras is extended to certain Khovanov-Lauda-Rouquier (KLR) algebras, whose defining combinatorial datum is given by the poles of the normalized $R$–matrix on a set of representations.
In this talk, I will describe a boundary version of this construction, providing a Schur–Weyl duality between quantum symmetric pairs of affine type and KLR algebras arising from a framed quiver with an involution. With respect to the Kang-Kashiwara-Kim construction, the extra combinatorial datum we take into account is given by the poles of the $k$–matrix (that is, a solution of the reflection equation) of the quantum symmetric pair. This is based on joint work in progress with T. Przezdziecki.
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