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The periodicity conjecture via 2-Calabi-Yau categories

Date: 
Wednesday 15th April 2009 - 14:30 to 15:30
Abstract: 
The periodicity conjecture for pairs of Dynkin diagrams was formulated at the beginning of the nineties in mathematical physics, in work of Zamolodchikov, Ravanini-Tateo-Valleriani and Kuniba-Nakanishi. We outline a proof based on the machinery of Fomin-Zelevinsky's cluster algebras and their (additive) categorification via 2-Calabi-Yau categories.
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons