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(1) Presentation(s)


Jeu. 05/11/2015 14:00 Andromede, Bâtiment 11, Etage 3

FINN Caley (LAPTH, Annecy)
A mixed boundary $q$KZ equation: integrability, graphical solutions, and connections

(Physique Théorique)


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.

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Pour plus d'informations, merci de contacter Frigerio M.