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UID:6291@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20211021T140000
DTEND;TZID=Europe/Paris:20211021T150000
DTSTAMP:20250118T132952Z
URL:https://www.i2m.univ-amu.fr/evenements/singularities-arising-from-clus
 ter-algebras-of-finite-type/
SUMMARY:Eleonore FABER (University of Leeds): Singularities arising from cl
 uster algebras of finite type
DESCRIPTION:Eleonore FABER: Cluster algebras were introducted by Fomin and 
 Zelevinsky in the context of total positivity in Lie theory. Since then\, 
 cluster structures have appeared in many different contexts\, ranging from
  representation theory and combinatorics to mirror symmetry.\nIn this talk
 \, I will first give a short introduction to cluster algebras and then foc
 us on the class of cluster algebras of finite type\, which are classified 
 by Dynkin diagrams. We study these commutative algebras from the point of 
 view of singularity theory: we classify their singularities and develop co
 nstructive resolutions of these singularities over fields of arbitrary cha
 racteristics. From the same perspective\, we study cluster algebras coming
  from a star shaped quiver\, which are not of finite type\, but whose sing
 ularities exhibit interesting combinatorial phenomena. This is joint work 
 with Angélica Benito\, Hussein Mourtada\, and Bernd Schober.\n\n&nbsp\;
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 021/10/Eleonore_Faber.jpg
CATEGORIES:Groupe de travail,Singularités,Virtual event
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