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SUMMARY:Additive categorification of the monoidal Lambda-invariant [Oberse
 minar Algebra und Darstellungstheorie]
DTSTART:20260513T160000Z
DTEND:20260513T170000Z
DTSTAMP:20260518T072100Z
UID:indico-event-1323@math-events.uni-bonn.de
DESCRIPTION:Speakers: Ricardo Canesin (Université Paris Cité)\n\nThe Lam
 bda-invariant for quantum affine algebras was introduced by Kashiwara-Kim-
 Oh-Park as an important tool in their study of the monoidal categorificati
 on of cluster algebras. It yields a quantization of the associated cluster
  algebra\, and it was recently shown to coincide with Peigen Cao’s tropi
 cal invariant.\nIn this talk\, we interpret these invariants via the addit
 ive categorification of cluster algebras using Higgs categories in the sen
 se of Yilin Wu. Whenever the relative Ginzburg algebra is proper\, we show
  that the Higgs category admits a canonical quantum structure generalizing
  those of Geiss-Leclerc-Schröer and Grabowski-Pressland\, and we provide 
 a homological interpretation of the corresponding tropical invariant.\n \
 nFor certain finite-rank cluster algebras categorified by Kashiwara-Kim-Oh
 -Park\, we show that the associated relative Ginzburg algebra is indeed pr
 oper\, and that our additive Lambda-invariant agrees with their monoidal o
 ne.\nThis is joint work with Peigen Cao and Geoffrey Janssens. \n\nhttps:
 //math-events.uni-bonn.de/event/1323/
LOCATION:Endenicher Allee 60/0-008 - Seminarraum (Mathezentrum)
URL:https://math-events.uni-bonn.de/event/1323/
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