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THE PERIODICITY CONJECTURE VIA 2-CALABI-YAU CATEGORIES
"... The periodicity conjecture was formulated in mathematical physics at the beginning of the 1990s, in the work of Zamolodchikov [11], Kuniba-Nakanishi [8] and Gliozzi-Tateo [4]. It asserts that a certain discrete dynamical system associated with a pair of Dynkin diagrams is periodic and that its perio ..."
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-Yau categories. An important role is played by Coxeter trans-formations and by Amiot’s recent work [1] on cluster categories for algebras of global dimension 2. References 1. Claire Amiot, Cluster categories for algebras of global dimension 2 and quivers with potential, arXiv:0805.1035. 2. Sergey Fomin
