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SUMMARY:Some prospects with the splicing operad - Ryan Budney (University 
 of Victoria)
DTSTART:20181207T133000Z
DTEND:20181207T143000Z
UID:TALK115477@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Roughly six years ago I described an operad that acts on space
 s of `long knots&#39\;.  This is the space of smooth embeddings of R^j int
 o R^n. The embeddings are required to be standard (linear) outside of a di
 sc\, and come equipped with a trivialisation of their normal bundles.  Thi
 s splicing operad gives a remarkably compact description of the homotopy-t
 ype of the space of classical long knots (j=1\, n=3)\, that meshes well wi
 th the machinery of 3-manifold theory: JSJ-decompositions and geometrizati
 on.  What remains to be seen is how useful this splicing operad might be w
 hen n is larger than 3.  I will talk about what is known at present\, and 
 natural avenues to explore.
LOCATION:Seminar Room 1\, Newton Institute
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