Mackaay, MarcoThiel, Anne-Laure2019-11-202019-11-2020171663-487X1664-073Xhttp://hdl.handle.net/10400.1/13344We categorify the extended affine Hecke algebra and the affine quantum Schur algebra S(n, r) for 3 <= r < n, using results on diagrammatic categorification in affine type A by Elias-Williamson, that extend the work of Elias-Khovanov for finite type A, and Khovanov-Lauda respectively. We also define 2-representations of these categorifications on an extension of the 2-category of affine (singular) Soergel bimodules. These results are the affine analogue of the results in [28].engRepresentationsjournal article10.4171/QT/88