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SUMMARY:Periodicities of T-systems and Y-systems - Kuniba\, A (Tokyo)
DTSTART:20090323T163000Z
DTEND:20090323T173000Z
UID:TALK17524@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:The T and Y-systems originate in conformal field theory and Be
 the ansatz studies of solvable lattice models during 80's-90's. \nThey are
  difference equations of Hirota-Miwa or Toda type that possess a variety o
 f aspects related to dilogarithm identity\, Kirillov-Reshetikhin conjectur
 e\, q-character of quantum affine algebras and so forth. \nMore recently\,
  there has been a renewed interest in their connection to the cluster alge
 bras of Fomin-Zelevinsky\, the cluster category of Buan-Marsh-Reineke-Reit
 en-Todorov and the periodicity conjecture by Zamolodchikov and others. \nI
  shall give an introductory overview on these topics. \n[joint work with R
 .Inoue\, O.Iyama\, B.Keller\, T.Nakanishi and J.Suzuki]
LOCATION:Seminar Room 1 Newton Institute
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