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Categorifying quantum sl2

Algebra & Discrete Mathematics

Speaker: Aaron Lauda, Columbia University
Location: 2112 MSB
Start time: Wed, May 20 2009, 1:10PM

Crane and Frenkel conjectured that the quantum enveloping algebra of sl(2) could be categorified at generic q using its canonical basis. In my talk I will describe a realization of this conjecture using a diagrammatic calculus.

If time permits I will also explain joint work with Mikhail Khovanov on how this construction can be generalized to quantum sl(n).