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SUMMARY:Fernando Muro (Universidad de Sevilla\, Spain)
DTSTART:20220324T120000Z
DTEND:20220324T130000Z
DTSTAMP:20260423T041526Z
UID:LAGOON/67
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LAGOON/67/">
 Enhanced n-angulated categories</a>\nby Fernando Muro (Universidad de Sevi
 lla\, Spain) as part of Longitudinal Algebra and Geometry Open ONline Semi
 nar (LAGOON)\n\n\nAbstract\nThese categories were introduced by Geiss\, Ke
 ller\, and Oppermann in order to encode the behaviour of n-cluster tilting
  subcategories of triangulated categories. In this talk I will define diff
 erential graded enhancements for these categories\, analogous to those of 
 Bondal and Kapranov for triangulated categories. I will present an existen
 ce and uniqueness theorem for n-angulated enhancements which holds\, for i
 nstance\, for the additivization of an n-cluster tilting object. As a coro
 llary\, I will deduce that a triangulated category with a (higher) cluster
  tilting object has a unique triangulated enhancement. This is joint work 
 with Gustavo Jasso(Lund).\n\nMeeting Link\nhttps://icms-org-uk.zoom.us/j/8
 2901356928?pwd=NmNReXc5U1M0MUFScEVLMEtyaU56dz09 \nMeeting ID: 829 0135 692
 8\nPasscode: LAGOON22\n
LOCATION:https://researchseminars.org/talk/LAGOON/67/
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