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Quantum affine algebras, cluster algebras, and proof of the positivity conjecture

Kedem, R (Illiois, Urbana-Champaign)
Tuesday 31 March 2009, 11:30-12:15



Q-systems and T-systems as cluster algebras on the one hand, and the solution of the resulting discrete integrable systems on the other. Among other things, this proves the positivity conjecture of Fomin and Zelevinsky for those systems, as well as providing explicit expressions for the q-characters. [This is joint work with Philippe Di Francesco.]


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