BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4//
BEGIN:VEVENT
UID:20250711T231028EDT-9265kovvEU@132.216.98.100
DTSTAMP:20250712T031028Z
DESCRIPTION:Title: Spin Ruijsenaars-Schneider-Sutherland models with a bi-H
 amiltonian structure.\n\nAbstract: We report our recent study of the finit
 e dimensional dynamical system derived by Braden and Hone in 1996 from the
  solitons of $A_{n-1}$ affine Toda field theory. This system of evolution 
 equations for an $n imes n$ Hermitian matrix $L$ and a real diagonal matri
 x $q$ with distinct eigenvalues was interpreted as a special case of the s
 pin Ruijsenaars--Schneider models due to Krichever and Zabrodin. A decade 
 later\, L.-C. Li re-derived the model from a general framework built on co
 boundary dynamical Poisson groupoids. This led to a Hamiltonian descriptio
 n of the gauge invariant content of the model\, where the gauge transforma
 tions act as conjugations of $L$ by diagonal unitary matrices. We shall ex
 plain that the same dynamics can be interpreted also as a special case of 
 the spin Sutherland systems obtained by reducing the free geodesic motion 
 on symmetric spaces\, studied jointly with Pusztai in 2006\; the relevant 
 symmetric space being $mathrm{GL}(n\,mathbb{C})/ mathrm{U}(n)$. This const
 ruction provides an alternative Hamiltonian interpretation of the Braden--
 Hone dynamics. It will be demonstrated that two Poisson brackets are compa
 tible and yielda bi-Hamiltonian description of the standard commuting flow
 s of the model. The talk is mainly based on the preprint arXiv:1901.03558.
  If time permits\, we shall also sketch generalizations of these results.
 \n
DTSTART:20190430T193000Z
DTEND:20190430T203000Z
LOCATION:Room 4336\, CA\, Pav. André-Aisenstadt\, 2920\, Chemin de la tour
SUMMARY:Laszlo Fehér (University of Szeged)
URL:/mathstat/channels/event/laszlo-feher-university-s
 zeged-296476
END:VEVENT
END:VCALENDAR