Résume | Séance en commun avec \href{http://www.math.jussieu.fr/~blanchet/seminaire-topologie/index.html}{le séminaire de Topologie}.
This is joint work with Anne-Laure Thiel. In my talk, I will first explain how an extension of the category of Soergel bimodules in affine type A gives a categorification of the extended affine Hecke algebra. Then I will explain how to extend the corresponding affine Elias Khovanov Williamson diagrammatic calculus. Finally I will explain how to extend the affine Khovanov Lauda calculus in order to categorify the affine q-Schur algebra and give an affine version of Khovanov and Lauda's 2-representation on extended singular affine Soergel bimodules |