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SUMMARY:Understanding quantum symmetric pairs through diagrams [Obersemina
 r Darstellungstheorie]
DTSTART:20260417T121500Z
DTEND:20260417T131500Z
DTSTAMP:20260420T222400Z
UID:indico-event-1222@math-events.uni-bonn.de
DESCRIPTION:Speakers: Alistair Savage (University of Ottawa)\n\nSymmetric 
 pairs consist of a complex simple Lie algebra and a subalgebra fixed by an
  involution.  Passing to enveloping algebras\, the latter becomes a Hopf 
 subalgebra.  Hence\, its category of representations is naturally a monoi
 dal category.  The quantum analogue of this concept is that of a quantum 
 symmetric pair.  In the quantum setting\, the subalgebra\, called an iqua
 ntum enveloping algebra\, is not a Hopf subalgebra.  Rather\, it is a coi
 deal subalgebra.  This means that the category of representations of the 
 iquantum enveloping algebra is not monoidal.  Instead\, it is a module ca
 tegory over the category of representations of the larger quantum envelopi
 ng algebra.  In this talk\, we will explore the representation theory of 
 iquantum enveloping algebras from the point of view of diagrammatic interp
 olating categories.  We will see that one can obtain a presentation of th
 e category of modules of the iquantum enveloping algebra from the framed H
 OMFLYPT skein category (a category that underpins the HOMFLYPT link invari
 ant) by imposing a single relation.  This is joint work with Hadi Salmasi
 an and Yaolong Shen.\n\nhttps://math-events.uni-bonn.de/event/1222/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/1222/
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