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SUMMARY:Cyclotomic KLR algebras of affine type C [Oberseminar Darstellungs
 theorie]
DTSTART:20250703T080000Z
DTEND:20250703T090000Z
DTSTAMP:20260420T160400Z
UID:indico-event-538@math-events.uni-bonn.de
DESCRIPTION:Speakers: Andrew Mathas (University of Sydney)\n\nThe Khovanov
 –Lauda–Rouquier (KLR) algebras are a family of graded algebras indexed
  by quivers. For symmetrisable quivers\, these algebras are important beca
 use they categorify the positive part of the corresponding quantum group. 
 These algebras admit natural cyclotomic quotients\, indexed by dominant we
 ights\, which categorify highest weight modules.\nOver a field\, Brundan a
 nd Kleshchev proved that the cyclotomic KLR algebras of affine type A are 
 isomorphic to cyclotomic Hecke algebras of type A. These include the group
  algebras of symmetric groups\, their Iwahori–Hecke algebras\, and the (
 degenerate) Ariki–Koike algebras. For other types\, the KLR algebras are
  genuinely new objects that were not studied prior to the KLR epoch.\nThis
  talk gives a gentle introduction to the cyclotomic KLR algebras of affine
  type C. I will discuss what is currently known about their structure and 
 representation theory\, as well as open questions. In particular\, there a
 re striking parallels with the classical representation theory of the symm
 etric groups\, but also important differences where the theories diverge\,
  and is far from understood.\n\nhttps://math-events.uni-bonn.de/event/538/
LOCATION:Endenicher Allee 60/0.007 - Seminarraum (Mathezentrum)
URL:https://math-events.uni-bonn.de/event/538/
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