BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4//
BEGIN:VEVENT
UID:20250702T144045EDT-62538u6V32@132.216.98.100
DTSTAMP:20250702T184045Z
DESCRIPTION:Centralisers of tensor representations of classical and quantum
  sl(N)\n\nThe well-known Hecke algebra appears in the Schur--Weyl duality\
 , which explains how to understand the centraliser of tensor products of t
 he natural representation of U_q(sl_N) (the 'spin 1/2' representation if N
 =2). In this talk\, I will start by quickly reviewing this classical state
 ment. Then I will introduce a class of new algebras in order to consider o
 ther representations of U_q(sl_N) ('higher spin' representations if N=2). 
 I will explain how to construct them explicitly\, I will fully describe th
 eir representation theory\, and I will give a diagrammatic presentation of
  them resulting in a complete description of the centralisers. These algeb
 ras generalise the symmetric group and more generally the Hecke algebras a
 nd the Temperley--Lieb algebras. Aside from pure representation theory\, s
 ome motivations come from mathematical physics (Yang--Baxter equation) and
  from low-dimensional topology (quantum invariants of knots and links) and
  I will try to indicate them along the way. This is joint work with Nicola
 s Crampé.\n
DTSTART:20190423T200000Z
DTEND:20190423T200000Z
LOCATION:Room 4336\, CA\, Pav. André-Aisenstadt\, 2920\, ch. de la Tour
SUMMARY:Loïc Poulain d'Andecy\, Laboratoire de Mathématiques de Reims\, Uni
 versité de Reims Champagne-Ardenne
URL:/mathstat/channels/event/loic-poulain-dandecy-labo
 ratoire-de-mathematiques-de-reims-universite-de-reims-champagne-ardenne-29
 6378
END:VEVENT
END:VCALENDAR