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SUMMARY:Drinfeld rational functions for quantum affine symmetric pairs
DTSTART:20250117T131500Z
DTEND:20250117T141500Z
DTSTAMP:20260415T102000Z
UID:indico-event-207@math-events.uni-bonn.de
DESCRIPTION:Speakers: Tomasz Przeździecki (University of Edinburgh)\n\nIt
  is well known that quantum affine algebras admit three distinct presentat
 ions (Kac-Moody\, new Drinfeld and RTT). Relatively recently\, the same ha
 s been shown to hold for a broad family of quantum affine symmetric pairs.
  In particular\, a Drinfeld-type presentation\, due to Lu-Wang\, is a new 
 and exciting development.\n \nThe focus of my talk will be the relationsh
 ip between the usual Drinfeld presentation of quantum affine algebras and 
 the Lu-Wang presentation of their coideal subalgebras. Remarkably\, both p
 resentations exhibit large commutative subalgebras\, which are of particul
 ar interest to representation theory. More specifically\, I will present s
 everal results concerning the properties of the generators of these commut
 ative subalgebras\, including their behaviour under inclusion and the copr
 oduct\, as well as their spectra on finite-dimensional representations. I 
 will also discuss applications to the nascent theory of q-characters of qu
 antum symmetric pairs. \n\nhttps://math-events.uni-bonn.de/event/207/
LOCATION:Endenicher Allee 60\, 1.008- Seminarraum (Mathezentrum)
URL:https://math-events.uni-bonn.de/event/207/
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