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SUMMARY:Sira Gratz (University of Glasgow)
DTSTART:20210615T073000Z
DTEND:20210615T083000Z
DTSTAMP:20260423T021215Z
UID:OISTRTS/18
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OISTRTS/18/"
 >Grassmannians\, Cluster Algebras and Hypersurface Singularities</a>\nby S
 ira Gratz (University of Glasgow) as part of OIST representation theory se
 minar\n\n\nAbstract\nGrassmannians are objects of great combinatorial and 
 geometric beauty\, which arise in myriad contexts. Their coordinate rings 
 serve as a classical example of cluster algebras\, as introduced by Fomin 
 and Zelevinsky at the start of the millennium\, and their combinatorics is
  intimately related to algebraic and geometric concepts such as to represe
 ntations of algebras and hypersurface singularities. At the core lies the 
 idea of generating an object from a so-called “cluster” via the concep
 t of “mutation”. \n\nIn this talk\, we offer an overview of Grassmanni
 an combinatorics in a cluster theoretic framework\, and ultimately take th
 em to the limit to explore the a priori simple question: What happens if w
 e allow infinite clusters? We introduce the notion of a cluster algebra of
  infinite rank (based on joint work with Grabowski)\, and of a Grassmannia
 n category of infinite rank (based on joint work with August\, Cheung\, Fa
 ber and Schroll).\n
LOCATION:https://researchseminars.org/talk/OISTRTS/18/
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