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SUMMARY:Danica Kosanovic
DTSTART:20210315T190000Z
DTEND:20210315T200000Z
DTSTAMP:20260423T004819Z
UID:mitgt/11
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/mitgt/11/">K
 notted families of arcs</a>\nby Danica Kosanovic as part of MIT Geometry a
 nd Topology Seminar\n\n\nAbstract\nGoodwillie and Weiss developed a powerf
 ul homotopy theoretic technique for studying spaces of embeddings. For pro
 perly embedded arcs in a manifold of any dimension these techniques can be
  given a geometric flavour inspired by Vassiliev theory for classical knot
 s. The outcome is a set of explicit nontrivial classes in homotopy groups 
 of spaces of arcs. I will give an overview of this story\, and also outlin
 e how such computations can be applied to some open problems in 4-dimensio
 nal topology. The latter is joint work with Peter Teichner.\n
LOCATION:https://researchseminars.org/talk/mitgt/11/
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