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SUMMARY:Ben Knudsen (Northeastern University)
DTSTART:20201019T203000Z
DTEND:20201019T213000Z
DTSTAMP:20260423T022713Z
UID:MITTop/15
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITTop/15/">
 Smooth structures and embedding calculus</a>\nby Ben Knudsen (Northeastern
  University) as part of MIT topology seminar\n\n\nAbstract\nWe ask when em
 bedding calculus can distinguish pairs of smooth\nmanifolds that are homeo
 morphic but not diffeomorphic. We prove that\, in\ndimension 4\, the answe
 r is “almost never.” In contrast\, we exhibit an infinite\nlist of hig
 h-dimensional exotic spheres detected by embedding calculus. The\nformer r
 esult implies that the algebraic topology of knot spaces is insensitive\nt
 o smooth structure in dimension 4\, answering a question of Viro. The latt
 er\nresult gives a partial answer to a question of Francis and hints at th
 e\npossibility of a new classification of exotic spheres in terms of a str
 atified\nobstruction theory applied to compactified configuration spaces. 
 This talk\nrepresents joint work with Alexander Kupers.\n\n\n\nAdd this to
  your calendar :  http://math.mit.edu/topology/topology_seminar.ics\n
LOCATION:https://researchseminars.org/talk/MITTop/15/
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