Видеотека: L. G. Rybnikov, Gaudin model and Cactus group

ВИДЕОТЕКА


Algebraic Structures in Integrable Systems 7 декабря 2012 г. 15:00, г. Москва, МГУ им. М.В. Ломоносова

Gaudin model and Cactus group L. G. Rybnikov National Research University "Higher School of Economics"
Аннотация: Cactus group is the fundamental group of the real locus of the Deligne- Mumford moduli space of stable rational curves. We define an action of this group on the set of Bethe vectors of the Gaudin magnet chain (for Lie algebra $\mathfrak{sl}(2)$) and relate this to the Berenstein-Kirillov group of piecewise linear transformations of the Gelfand-Tsetlin polytope. Some conjectures generalizing this construction will be discussed. Язык доклада: английский