(1) Presentation(s)

 Jeu. 05/11/2015 14:00 Andromede, Bâtiment 11, Etage 3Séminaire FINN Caley (LAPTH, Annecy) A mixed boundary $q$KZ equation: integrability, graphical solutions, and connections (Physique Théorique) Sommaire: In this seminar I will give an introduction to integrability and the $q$KZ equation, with a focus on the integrable Temperly--Lieb loop model. The associated Temperley-Lieb algebra can be represented in graphical form, which in turn allows a graphical construction of the solutions of the $q$KZ equation.Using this graphical construction, we derive a factorised form for a generalised sum over components of the $q$KZ solution. Specialising this sum gives the normalisation of the ground state vector of the Temperley--Lieb loop model. But in its general form there are connections to certain Razumov--Stroganov conjectures and Macdonald and Koornwinder polynomials.---------Pour plus d'informations, merci de contacter Frigerio M.