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SUMMARY:Pierre-Guy Plamondon (Versailles)
DTSTART:20220228T130000Z
DTEND:20220228T140000Z
DTSTAMP:20260710T044509Z
UID:paris-algebra-seminar/81
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/paris-algebr
 a-seminar/81/">Cluster algebras\, categorification\, and some configuratio
 n spaces</a>\nby Pierre-Guy Plamondon (Versailles) as part of Paris algebr
 a seminar\n\n\nAbstract\nThe real part of the configuration space M_{0\,n}
  of n points on a projective line has a connected component which is close
 ly related to the associahedron.  As an affine variety\, it is defined by 
 explicit equations which are in close connection with exchange relations f
 or cluster variables in type A.  This has been generalized to all Dynkin t
 ypes.\n\nIn this talk\, we will construct an affine variety associated to 
 any representation-finite finite-dimensional algebra over an algebraically
  closed field.  The equations defining the variety will be obtained from t
 he F-polynomials of indecomposable modules over the algebra.  This general
 izes previous results\, which can be recovered by applying our constructio
 n to Jacobian algebras in Dynkin types.\n\nThis talk is based on an ongoin
 g project with Nima Arkani-Hamed\, Hadleigh Frost\, Giulio Salvatori and H
 ugh Thomas.\n
LOCATION:https://researchseminars.org/talk/paris-algebra-seminar/81/
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