KLR algebras of type A have been a revolution in the representation theory of Hecke algebras of a type A flavour, thanks to the the Brundan-Kleshchev-Rouquier isomorphism relating them explicitly to the affine Hecke algebra of type A. KLR algebras of other types exist but are not related to affine Hecke algebras of other types. In this talk I will present a generalisation of the KLR presentation for the affine Hecke algebra of type B and I will discuss some applications.

This talk is based on joint works with Salim Rostam and Ruari Walker.

This video was produced by the Okinawa Institute of Science and Technology, as part of their OIST Representation Theory Seminar series.