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SUMMARY:Tensor products\, q-characters and R-matrices for quantum toroidal
  algebras
DTSTART:20250509T121500Z
DTEND:20250509T131500Z
DTSTAMP:20260305T175900Z
UID:indico-event-375@math-events.uni-bonn.de
CONTACT:antor@math.uni-bonn.de
DESCRIPTION:Speakers: Duncan Laurie (University of Edinburgh\,)\n\nQuantum
  toroidal algebras are the ‘double affine’ objects within the quantum 
 setting. In particular\, they contain – and are generated by – horizo
 ntal and vertical quantum affine subalgebras.\n \nThese quantum toroidal 
 algebras are not known to possess a coproduct\, but do have a topological
  coproduct mapping to a completion of the tensor square. However\, this
  still fails to produce a tensor product on the category of integrable mod
 ules due to the presence of infinite sums.\n \nIn this talk\, after intr
 oducing the quantum toroidal algebras\, I shall explain how to overcome th
 ese issues – namely\, we'll obtain well-defined tensor products satisfyi
 ng various nice properties. (For example\, there are compatibilities with 
 both Drinfeld polynomials and q-characters\, as well as toroidal R-matrice
 s that solve the Yang-Baxter equation.)\n\nhttps://math-events.uni-bonn.de
 /event/375/
LOCATION:Endenicher Allee 60/Room 1.008  (Mathezentrum)
URL:https://math-events.uni-bonn.de/event/375/
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