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SUMMARY:Markus Zetto (Universität Hamburg)
DTSTART:20251203T100000Z
DTEND:20251203T110000Z
DTSTAMP:20260423T021108Z
UID:EQuAL/48
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/EQuAL/48/">C
 auchy-completions and extended TFTs</a>\nby Markus Zetto (Universität Ham
 burg) as part of European Quantum Algebra Lectures (EQuAL)\n\n\nAbstract\n
 An enriched category is said to be Cauchy-complete if it admits all absolu
 te colimits — those weighted colimits that commute with every enriched f
 unctor. For instance\, an ordinary (Set-enriched) category is Cauchy-compl
 ete precisely when it is idempotent complete\, while an Ab-enriched catego
 ry is so when it is both idempotent complete and additive.\n\nI will exten
 d this notion to enriched (∞\,n)-categories and explain how\, via the co
 bordism hypothesis\,  it yields a flexible and general formalism for const
 ructing and classifying framed fully extended topological field theories. 
 In particular\, it clarifies the role of higher idempotents\, also known a
 s condensations in the sense of Gaiotto and Johnson-Freyd. Joint work in p
 rogress with David Reutter.\n
LOCATION:https://researchseminars.org/talk/EQuAL/48/
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