BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Sira Gratz (University of Glasgow) DTSTART:20210224T131500Z DTEND:20210224T141500Z DTSTAMP:20260423T024659Z UID:AarHomAlg/1 DESCRIPTION:Title: Grassmannians\, Cluster Algebras and Hypersurface Singularities\nby Sira Gratz (University of Glasgow) as part of Aarhus Homological Algebra S eminar\n\n\nAbstract\nGrassmannians are objects of great combinatorial and geometric beauty\, which arise in myriad contexts. Their coordinate rings serve as a classic example of cluster algebras\, as introduced by Fomin a nd Zelevinsky at the start of the millennium\, and their combinatorics is intimately related to algebraic and geometric concepts such as to represen tations of algebras and hypersurface singularities. At the core lies the i dea of generating an object from a so-called "cluster" via the concept of "mutation".\n\nIn this talk\, we offer an overview of Grassmannian combina torics in a cluster theoretic framework\, and ultimately take them to the limit to explore the a priori simple question: What happens if we allow in finite clusters? In particular\, we introduce the notion of a cluster alge bra of infinite rank (based on joint work with Grabowski)\, and of a Grass mannian category of infinite rank (based on joint work with August\, Cheun g\, Faber and Schroll).\n LOCATION:https://researchseminars.org/talk/AarHomAlg/1/ END:VEVENT END:VCALENDAR