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SUMMARY:Emine Yıldırım (Queen's University)
DTSTART:20200812T160000Z
DTEND:20200812T173000Z
DTSTAMP:20260422T172225Z
UID:UCGEN/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCGEN/1/">Cl
 uster Categories</a>\nby Emine Yıldırım (Queen's University) as part of
  UCGEN - Uluslararası Cebirsel GEometri Neşesi\n\n\nAbstract\nCluster Ca
 tegories are introduced to understand cluster dynamics from the representa
 tion theory point of view. The subject has its roots in two important resu
 lts in the literature that give us a glimpse of a relationship between clu
 ster dynamics and representation theory. The first is that there is an one
 -to-one correspondence between the cluster variables of a finite type clus
 ter algebra and the almost positive roots of the corresponding root system
 . The second is a well-known result by Gabriel that classifies finite repr
 esentation type quivers by using positive roots of the corresponding root 
 system. In this talk\, after giving an overview of cluster categories\, I 
 will talk about a recent joint work with Charles Paquette on the generaliz
 ation of discrete cluster categories.\n
LOCATION:https://researchseminars.org/talk/UCGEN/1/
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