BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Alexis Langlois-Rémillard (Hausdorff Center for Mathematics\, Uni versität Bonn) DTSTART:20240509T090000Z DTEND:20240509T100000Z DTSTAMP:20260423T021156Z UID:EQuAL/24 DESCRIPTION:Title: Q uotients of the affine Temperley-Lieb algebras with a view towards general ised Deligne interpolation categories\nby Alexis Langlois-Rémillard ( Hausdorff Center for Mathematics\, Universität Bonn) as part of European Quantum Algebra Lectures (EQuAL)\n\n\nAbstract\nThe affine (and periodic) Temperley-Lieb algebras appeared in the study of conformal field theories as useful tools to study the continuum scaling limits of critical statisti cal models. The fusion of their modules is believed to be connected to the fusion of bulk fields in CFT. However\, the connection is not obvious. In part to seek the ideal structure to investigate the scaling limit\, we st udy certain quotients of the affine Temperley-Lieb algebras\, which we nam e uncoiled algebras\, and we study their Jones-Wenzl idempotents. In this talk\, we will present the uncoiled algebras\, the construction of their J ones-Wenzl idempotents and investigate the traces of these\, relating it t o the extremal weight projectors of Queffelec and Wedrich. Time permitting \, we will investigate a generalisation of these structures related to Del igne interpolation categories. \n\nThis is based on joint work with Alexi Morin-Duchesne\n LOCATION:https://researchseminars.org/talk/EQuAL/24/ END:VEVENT END:VCALENDAR