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SUMMARY:Timothy Logvinenko (Cardiff University\, UK)
DTSTART:20251210T130000Z
DTEND:20251210T140000Z
DTSTAMP:20260423T010336Z
UID:LAGOON/107
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LAGOON/107/"
 >Unbounded twisted complexes</a>\nby Timothy Logvinenko (Cardiff Universit
 y\, UK) as part of Longitudinal Algebra and Geometry Open ONline Seminar (
 LAGOON)\n\n\nAbstract\nThe notion of a (bounded) twisted complex of object
 s in a DG category was introduced by Bondal and Kapranov as a tool to stud
 y and construct DG enhancements of triangulated categories. It can be view
 ed as a lift to the DG enhancement of a bounded complex of objects in the 
 underlying triangulated category. But what if one needs to work with unbou
 nded complexes of objects?\nIn this talk\, I will first give an introducti
 on summarising the original theory of bounded twisted complexes. Then I wi
 ll explain the difficulties involved in making it work with unbounded comp
 lexes\, and how they are dealt with in the resulting theory of unbounded t
 wisted complexes due to Rina Anno and I. Finally\, I will talk about some 
 applications\, such as A-infinity structures in monoidal DG categories and
  homotopy idempotents.\n\nTalk postponed to Wednesday December 10!\n\nhttp
 s://uni-koeln.zoom.us/j/91875528987?pwd=US8wdjNrWjl5dXNQSVRzREhoRE1PUT09\n
 \nMeeting ID: 918 7552 8987 Password: LAGOON\n
LOCATION:https://researchseminars.org/talk/LAGOON/107/
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