The INI has a new website!

This is a legacy webpage. Please visit the new site to ensure you are seeing up to date information.

Skip to content



Periodicities of T-systems and Y-systems

Kuniba, A (Tokyo)
Monday 23 March 2009, 16:30-17:30

Meeting Room 3, CMS


The T and Y-systems originate in conformal field theory and Bethe ansatz studies of solvable lattice models during 80's-90's. They are difference equations of Hirota-Miwa or Toda type that possess a variety of aspects related to dilogarithm identity, Kirillov-Reshetikhin conjecture, q-character of quantum affine algebras and so forth. More recently, there has been a renewed interest in their connection to the cluster algebras of Fomin-Zelevinsky, the cluster category of Buan-Marsh-Reineke-Reiten-Todorov and the periodicity conjecture by Zamolodchikov and others. I shall give an introductory overview on these topics. [joint work with R.Inoue, O.Iyama, B.Keller, T.Nakanishi and J.Suzuki]


[pdf ]

Back to top ∧