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SUMMARY:Karin M. Jacobsen
DTSTART:20210512T140000Z
DTEND:20210512T150000Z
DTSTAMP:20260423T022744Z
UID:TRAC/17
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TRAC/17/">On
  the role of gentle algebras in Higher Homological algebra</a>\nby Karin M
 . Jacobsen as part of The TRAC Seminar - Théorie de Représentations et s
 es Applications et Connections\n\n\nAbstract\nIn higher homological algebr
 a\, (d+2)-angulated categories are higher analogues of triangulated catego
 ries. They primarily appear as d-cluster-tilting subcategories of triangul
 ated categories closed under d-suspension. We give a complete classificati
 on of such d-cluster-tilting subcategories of the derived category of a ge
 ntle algebra by using the geometric model given by Opper-Plamondon-Schroll
 . It turns out that\, up to derived equivalence\, they occur only in Dynki
 n type A\; in other words we have a puzzling lack of d-cluster-tilting sub
 categories associated to gentle algebras. \n\nThis is joint work with Joha
 nne Haugland and Sibylle Schroll.\n
LOCATION:https://researchseminars.org/talk/TRAC/17/
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