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SUMMARY:Joost Nuiten (University of Toulouse)
DTSTART:20260428T150000Z
DTEND:20260428T163000Z
DTSTAMP:20260513T124052Z
UID:tandg/39
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/tandg/39/">T
 he infinitesimal tangle hypothesis</a>\nby Joost Nuiten (University of Tou
 louse) as part of Topology and Geometry Seminar (Texas\, Kansas)\n\n\nAbst
 ract\nThe tangle hypothesis is a variant of the cobordism hypothesis that 
 considers cobordisms embedded in some finite-dimensional Euclidean space (
 together with framings). Such tangles of codimension k can be organized in
 to an E_k-monoidal d-category\, where d is the maximal dimension of the ta
 ngles. The tangle hypothesis then asserts that this category of tangles is
  the free E_k-monoidal d-category with duals generated by a single object.
 \n\nIn this talk\, based on joint work in progress with Yonatan Harpaz\, I
  will describe an infinitesimal version of the tangle hypothesis: instead 
 of showing that the E_k-monoidal category of tangles is freely generated b
 y an object\, we show that its cotangent complex is free of rank 1. This p
 rovides support for the tangle hypothesis (of which it is a direct consequ
 ence)\, but can also be used to reduce the tangle hypothesis to a statemen
 t at the level of E_k-monoidal (d+1\, d)-categories by means of obstructio
 n theory.\n
LOCATION:https://researchseminars.org/talk/tandg/39/
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