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SUMMARY:Elie Casbi (Northeastern)
DTSTART:20220915T185000Z
DTEND:20220915T195000Z
DTSTAMP:20260423T010012Z
UID:GPRTatNU/57
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GPRTatNU/57/
 ">Hall algebras and quantum cluster algebras</a>\nby Elie Casbi (Northeast
 ern) as part of Geometry\, Physics\, and Representation Theory Seminar\n\n
 \nAbstract\nThe theory of Hall algebras has known many spectacular develop
 ments and applications since the discovery by Ringel of their connection w
 ith quantum groups. One important object arising naturally in the study of
  Hall algebras is the integration map defined by Reineke\, which allows to
  produce certain celebrated wall-crossing identities. In this talk I will 
 first focus on the Dynkin case and show how the integration map can be int
 erpreted in a natural way via the representation theory of quantum affine 
 algebras. I will then explain how this opens perspectives towards an analo
 gous interpretation for more general quivers\, relying on the framework of
  quantum cluster algebras. This is ongoing joint work with Lang Mou.\n
LOCATION:https://researchseminars.org/talk/GPRTatNU/57/
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