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Orbifold diagrams and skew group categories

Karin Baur (University of Leeds)
Mathematics Seminar
Wednesday, 17 March, 2021, at 14:15-15:15, Zoom (email peter.jorgensen@math.au.dk for the link)

Alternating strand diagrams (as introduced by Postnikov) on the disk have been used in the study of the coordinate ring of the Grassmannian. In particular, they give rise to clusters of the Grassmannian cluster algebras (Scott) or to cluster-tilting objects of the Grassmannian cluster categories of Jensen-King-Su (Baur-King-Marsh). On the other hand, orbifolds have also been related to cluster structures as Paquette-Schiffler (or Chekhov-Shapiro for a geometric approach). Here we introduce orbifold diagrams as quotients of symmetric Postnikov diagrams and show how to associate quivers with potentials to them. This is joint work with Andrea Pasquali (Stuttgart) and Diego Velasco (Cali).

Organised by: AarHomAlg
Contact person: Peter Jorgensen