BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Karin Baur (University of Leeds\, UK and University of Graz\, Aust ria) DTSTART:20201001T110000Z DTEND:20201001T120000Z DTSTAMP:20260423T024756Z UID:LAGOON/17 DESCRIPTION:Title: Structure of Grassmannian cluster categories\nby Karin Baur (Universit y of Leeds\, UK and University of Graz\, Austria) as part of Longitudinal Algebra and Geometry Open ONline Seminar (LAGOON)\n\n\nAbstract\nThe categ ory of Cohen Macaulay modules over a quotient of a preprojective algebra p rovides an additive categorification of Scott’s cluster algebra structur e of the coordinate ring of the Grassmannian of k-subspaces in n-space\, b y work of Jensen\, King and Su. Under this correspondence\, rigid indecomp osable objects map to cluster variables. A special role is played by rank 1 indecomposables which correspond bijectively to Plücker coordinates. Th ese are in fact all indecomposables in case k=2. In the other finite types (i.e. $(k\,n)\\in \\{(3\,6)\,(3\,7)\,(3\,8)\\}$)\, there are also rank 2 and rank 3 rigid indecomposables. In general\, the Grassmannian categories are not well understood. We provide characterisations for these low rank modules in infinite types. This is joint work with Dusko Bogdanic and Ana Garcia Elsener and with Bogdanic\, Garcia Elsener and Jianrong Li.\n LOCATION:https://researchseminars.org/talk/LAGOON/17/ END:VEVENT END:VCALENDAR