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SUMMARY:Matt Pressland (University of Glasgow\, UK)
DTSTART:20220210T120000Z
DTEND:20220210T130000Z
DTSTAMP:20260423T041524Z
UID:LAGOON/59
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LAGOON/59/">
 Grassmannian twists categorified</a>\nby Matt Pressland (University of Gla
 sgow\, UK) as part of Longitudinal Algebra and Geometry Open ONline Semina
 r (LAGOON)\n\n\nAbstract\nThe Grassmannian of k-dimensional subspaces of a
 n n-dimensional space carries a birational automorphism called the twist (
 or sometimes the Donaldson–Thomas transformation)\, defined by Berenstei
 n–Fomin–Zelevinsky and Marsh–Scott. This automorphism respects the c
 luster algebra structure on the coordinate ring\, being a quasi-cluster au
 tomorphism in the sense of Fraser. By work of Muller–Speyer\, similar re
 sults hold for positroid strata in the Grassmannian. The cluster algebras 
 in this picture have been categorified\, by Jensen–King–Su in the case
  of the full Grassmannian\, and by myself for more general (connected) pos
 itroid varieties. In this talk I will report on joint work with İlke Çan
 akçı and Alastair King\, in which we describe the twist in terms of thes
 e categorifications. The key ingredient is provided by perfect matching mo
 dules\, certain combinatorially defined representations for a quiver 'with
  faces'\, and I will also explain this construction.\n
LOCATION:https://researchseminars.org/talk/LAGOON/59/
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