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SUMMARY:Man-Wei Cheung (Harvard)
DTSTART:20201123T171500Z
DTEND:20201123T181500Z
DTSTAMP:20260423T021648Z
UID:GASC/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GASC/5/">Cat
 egorification of infinite Grassmannians</a>\nby Man-Wei Cheung (Harvard) a
 s part of Geometry\, Algebra\, Singularities\, and Combinatorics\n\n\nAbst
 ract\nJensen\, King\, and Su introduce the Grassmannian cluster categories
 . In the talk\, we will discuss the analogous of their construction to the
  Grassmannian of infinite rank. We show that there is a structure preservi
 ng bijection between the generically free rank one modules in a Grassmanni
 an category of infinite rank and the Plücker coordinates in a Grassmannia
 n cluster algebra of infinite rank. We developed a new combinatorial tool 
 to determine when two k-subsets of integers are `non-crossing’\, i.e.\, 
 when two Plücker coordinates of the Grassmannian cluster algebras of infi
 nite rank are compatible. This is a joint work with Jenny August\, Eleonor
 e Faber\, Sira Gratz\, and Sibylle Schroll.\n
LOCATION:https://researchseminars.org/talk/GASC/5/
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