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Title:
On the Periodicity Conjecture for Y-systems
Speaker:
Abstract:
Y-systems are a certain family of algebraic recurrence equations, which in their present form emerged in the early 1990s in the study of the Thermodynamic Bethe Ansatz. They are naturally associated to arbitrary pairs of Dynkin diagrams, and the periodicity conjecture asserts that all solutions to those systems are periodic with period equal to twice the sum of the respective Coxeter numbers. Although this conjecture has by now been largely proved, there remain open questions. In this talk, I will discuss an approach to the topic based on the generalized Liouville formula, and present some recent developments.
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