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The periodicity conjecture via 2-Calabi-Yau categories

Keller, B (University Paris 7)
Wednesday 15 April 2009, 14:30-15:30



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.

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