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SUMMARY:Yonatan Harpaz (CNRS at University of Paris 13)
DTSTART:20220406T160000Z
DTEND:20220406T170000Z
DTSTAMP:20260423T035905Z
UID:TQFT/55
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TQFT/55/">Th
 e cobordism hypothesis in dimension 1</a>\nby Yonatan Harpaz (CNRS at Univ
 ersity of Paris 13) as part of Topological Quantum Field Theory Club (IST\
 , Lisbon)\n\nLecture held in Room 3.10 (3rd floor\, Mathematics Department
 \, Instituto Superior Técnico).\n\nAbstract\nThe cobordism hypothesis is 
 a conjectural characterization of the framed cobordism (∞\,n)-category a
 s the free symmetric monoidal (∞\,n)-category with duals generated by a 
 single object. After its original formulation by Baez and Dolan in 1995\, 
 a strategy for a proof of the conjecture was put forward by Lurie in 2009.
  Though this strategy is very efficient in reducing the general hypothesis
  to a relatively concrete statement (Claim 3.4.17 in Lurie's text)\, a for
 mal proof of this concrete statement has yet to appear in the literature. 
 In addition\, this strategy does not cover the 1-dimensional case. In this
  talk I will describe a way to extend Lurie's strategy to the case of n=1\
 , in which case the analogue of the missing claim can be proved using\, am
 ong other things\, the notion of quasi-unital ∞-categories.\n
LOCATION:https://researchseminars.org/talk/TQFT/55/
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