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SUMMARY:Ciprian Manolescu (Standford University)
DTSTART:20211207T163000Z
DTEND:20211207T173000Z
DTSTAMP:20260423T022624Z
UID:Geolis/61
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Geolis/61/">
 Khovanov homology and the search for exotic 4-spheres</a>\nby Ciprian Mano
 lescu (Standford University) as part of Geometria em Lisboa (IST)\n\n\nAbs
 tract\nA well-known strategy to disprove the smooth 4D Poincare conjecture
  is to find a knot that bounds a disk in a homotopy 4-ball but not in the 
 standard 4-ball. Freedman\, Gompf\, Morrison and Walker suggested that Ras
 mussen’s invariant from Khovanov homology could be useful for this purpo
 se. I will describe three recent results about this strategy: that it fail
 s for Gluck twists (joint work with Marengon\, Sarkar and Willis)\; that a
 n analogue works for other 4-manifolds (joint work with Marengon and Picci
 rillo)\; and that 0-surgery homeomorphisms provide a large class of potent
 ial examples (joint work with Piccirillo).\n
LOCATION:https://researchseminars.org/talk/Geolis/61/
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