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SUMMARY:On Categorifications of Non-Integer Quivers - Drew Duffield (Durha
 m University)
DTSTART:20211118T153000Z
DTEND:20211118T163000Z
UID:TALK166234@talks.cam.ac.uk
DESCRIPTION:Suppose we have a skew-symmetric matrix with real (non-integer
 ) entries. We may apply the usual rules of mutation on such a matrix and i
 ts corresponding quiver (with real-weighted arrows). There is a nice categ
 orical interpretation of integer quivers and their mutations via the clust
 er category\, which begs the question as to whether a similar categorical 
 interpretation exists for real-weighted quivers and their mutations. In th
 is talk\, we will present such a categorification for real-weighted quiver
 s that are associated to Coxeter diagrams of types H_3\, H_4 and I_2(2n+1)
  via the theory of weighted (un)foldings and semiring actions on the modul
 e\, derived and cluster categories of ADE-quivers.
LOCATION:Seminar Room 2\, Newton Institute
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