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SUMMARY:Naoki Koseki (University of Liverpool\, UK)
DTSTART:20230927T120000Z
DTEND:20230927T130000Z
DTSTAMP:20260423T005754Z
UID:LAGOON/86
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LAGOON/86/">
 Symmetric products of dg categories and semi-orthogonal decompositions</a>
 \nby Naoki Koseki (University of Liverpool\, UK) as part of Longitudinal A
 lgebra and Geometry Open ONline Seminar (LAGOON)\n\n\nAbstract\nThe notion
  of symmetric products of a dg category was introduced by Ganter and Kapra
 nov. I will explain how a semi-orthogonal decomposition (SOD) of an origin
 al dg category induces an SOD on the symmetric products. This is a general
 ization of the direct sum decomposition of the symmetric product of a dire
 ct sum of two vector spaces.\nThe main application is the construction of 
 various interesting SODs on the derived categories of the Hilbert schemes 
 of points on surfaces.\n\nThe Zoomlink is as follows:\nhttps://uni-koeln.z
 oom.us/j/91875528987?pwd=US8wdjNrWjl5dXNQSVRzREhoRE1PUT09\nMeeting ID: 918
  7552 8987\nPassword: LAGOON\n
LOCATION:https://researchseminars.org/talk/LAGOON/86/
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