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SUMMARY:Smooth Structures and Embedding Calculus
DTSTART:20220519T141500
DTEND:20220519T151500
DTSTAMP:20260407T043713Z
UID:3e666fb261f4a2a0ec4c271bed7d095ac54766a2d4b9008feb321fc4
CATEGORIES:Conferences - Seminars
DESCRIPTION:Ben Knudsen\, Northeastern University\nWe ask when embedding c
 alculus can distinguish pairs of smooth manifolds that are homeomorphic bu
 t not diffeomorphic. We prove that\, in dimension 4\, the answer is “alm
 ost never.” In contrast\, we exhibit an infinite list of high-dimensiona
 l exotic spheres detected by embedding calculus. The former result implies
  that the algebraic topology of knot spaces is insensitive to smooth struc
 ture in dimension 4\, answering a question of Viro. The latter result give
 s a partial answer to a question of Francis and hints at the possibility o
 f a new classification of exotic spheres in terms of a stratified obstruct
 ion theory applied to compactified configuration spaces.
LOCATION:MA B2 485 https://plan.epfl.ch/?room==MA%20B2%20485
STATUS:CONFIRMED
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