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SUMMARY:James Macpherson (Instituto Superior Tecnico\, Lisbon)
DTSTART:20240318T140000Z
DTEND:20240318T150000Z
DTSTAMP:20260421T153937Z
UID:UEAPS/33
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UEAPS/33/">E
 valuation 2-functors for categorified affine sl(n)</a>\nby James Macpherso
 n (Instituto Superior Tecnico\, Lisbon) as part of ANTLR seminar\n\nLectur
 e held in EFRY01.10.\n\nAbstract\nWhen studying representations of particu
 larly unruly\nmathematical structures\, it can often be useful to compose\
 nrepresentations of an associated\, simpler structure with an `evaluation'
 \nfunctor from the unruly structure to the better behaved one. A\nprevious
 ly studied example is the evaluation functor from (the\nidempotented unive
 rsal enveloping algebra of) affine type sl(n) to\nfinite type sl(n). In th
 is talk I will explain this example in detail. I\nwill then present the ca
 tegorification of this evaluation functor\nbetween the corresponding 2-Kac
 -Moody algebras for the n=3 case\, and\nalso discuss some of the technique
 s used for an inductive construction\nof the evaluation 2-functor for larg
 er n. This is joint work with Marco\nMackaay and Pedro Vaz.\n
LOCATION:https://researchseminars.org/talk/UEAPS/33/
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