James Macpherson "Evaluation 2-functors for categorified affine sl_n (for n=3)"

When studying representations of particularly unruly mathematical structures, it can often be useful to compose representations of an associated, simpler structure with an `evaluation' functor from the unruly structure to the better behaved one. An example is the evaluation functor from (the idempotented universal enveloping algebra of) affine type sln$ to finite type sln. In this talk I will present the categorification of this evaluation functor between the corresponding 2-Kac-Moody algebras for the n=3 case, while briefly alluding to the existence of such a 2-functor for any n at least 3. This is joint work with Marco Mackaay and Pedro Vaz.