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SUMMARY:Bernhard Keller (Université Paris Diderot - Paris 7\, France)
DTSTART:20200528T120000Z
DTEND:20200528T130000Z
DTSTAMP:20260423T005807Z
UID:LAGOON/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LAGOON/3/">G
 rassmannian braiding categorified</a>\nby Bernhard Keller (Université Par
 is Diderot - Paris 7\, France) as part of Longitudinal Algebra and Geometr
 y Open ONline Seminar (LAGOON)\n\n\nAbstract\nChris Fraser has discovered 
 an action of the extended affine braid group on d strands on the Grassmann
 ian cluster algebra of k-subspaces in n-space\, where d is the least commo
 n divisor of k and n. We lift this action to the corresponding cluster cat
 egory first constructed by Geiss-Leclerc-Schröer in 2008. For this\, we u
 se Jensen-King-Su's description of this category as a singularity category
  in the sense of Buchweitz/Orlov. We conjecture an action of the same brai
 d group on the cluster algebra associated with an arbitrary pair of Dynkin
  diagrams whose Coxeter numbers are k and n. This is a report on ongoing j
 oint work with Chris Fraser.\n
LOCATION:https://researchseminars.org/talk/LAGOON/3/
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