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SUMMARY:Modules of the affine Temperley-Lieb algebra
DTSTART:20260122T130000Z
DTEND:20260122T140000Z
DTSTAMP:20260424T050800Z
UID:indico-event-15809@indico.math.cnrs.fr
DESCRIPTION:Speakers: Yacine Ikhlef (LPTHE)\n\nIn the field of exactly sol
 vable models of 2d Statistical Mechanics\, the Temperley-Lieb algebra is t
 he underlying structure for various classes of lattice models\, such as th
 e Ising\, O(n)\, percolation\, six-vertex\, Solid-on-Solid models\, etc. I
 n this talk\, I focus on the affine Temperley-Lieb (ATL) algebra\, which i
 s relevant to spatially periodic systems and/or bulk correlations in these
  lattice models. I will review the essential results form the seminal work
  of Graham and Lehrer (1998) on the representation theory of the ATL algeb
 ra\, and more recent studies on the subject. Then\, I will present a colle
 ction of new results on the construction of a tensor (or fusion) product f
 or the modules over the ATL algebra\, and the calculation of fusion rules\
 , which share some common features with the fusion of Virasoro modules in 
 Conformal Field Theory in the scaling limit.\n\nhttps://indico.math.cnrs.f
 r/event/15809/
LOCATION:Salle 1180\, bâtiment E2 (Salle des séminaires )
URL:https://indico.math.cnrs.fr/event/15809/
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