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SUMMARY:An Algebraic Variety Related to Tau-Tilting Theory - Hugh Thomas (
 Université du Québec à Montréal)
DTSTART:20211108T130000Z
DTEND:20211108T133000Z
UID:TALK164746@talks.cam.ac.uk
DESCRIPTION:Let A be a finite-dimensional algebra of finite representation
  type. I will describe an affine algebraic variety whose totally non-negat
 ive part reflects the combinatorics of the tau-tilting fan of A. Starting 
 from a Dynkin quiver\, one obtains something closely related to the corres
 ponding Fock&ndash\;Goncharov cluster X variety\, while in general\, point
 s on (one component of) the variety can be given in terms of ratios of F-p
 olynomials\; the upshot is that this construction can be viewed as an exte
 nsion of some of the beautiful features of cluster algebras to a more gene
 ral setting.
LOCATION:Seminar Room 1\, Newton Institute
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