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SUMMARY:Anya Nordskova (UHasselt\, Belgium)
DTSTART:20221117T120000Z
DTEND:20221117T130000Z
DTSTAMP:20260423T041624Z
UID:LAGOON/78
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LAGOON/78/">
 Derived Picard groups of representation-finite symmetric algebras</a>\nby 
 Anya Nordskova (UHasselt\, Belgium) as part of Longitudinal Algebra and Ge
 ometry Open ONline Seminar (LAGOON)\n\n\nAbstract\nI will talk about my wo
 rk on computing the derived Picard groups of a particular class of symmetr
 ic representation-finite algebras of type D. We obtain an explicit descrip
 tion of these groups via generators and relations. In particular\, we prov
 e that these groups are generated by spherical twists along a collection o
 f 0-spherical objects\, the shift and\, roughly speaking\, outer automorph
 isms of the algebras. One of the key ingredients in the proof is the faith
 fulness of braid group actions by spherical twists along ADE configuration
 s of 0-spherical objects. Another part of the strategy is based on the fac
 t that symmetric representation-finite algebras are tilting-connected. To 
 apply this result we in particular develop a combinatorial-geometric model
  for silting mutations in type D\, generalising the classical concepts of 
 Brauer trees and Kauer moves. I will also discuss possible directions in w
 hich the result might be extended to a more general categorical context.\n
 \nMeeting Link\n\nhttps://uni-koeln.zoom.us/j/91875528987?pwd=TjNZV1lNdVJN
 OWUrR2xNalRuQWk3dz09\n\nMeeting ID: 918 7552 8987\nPassword: LAGOON2022\n
LOCATION:https://researchseminars.org/talk/LAGOON/78/
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