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DTSTART;TZID=America/New_York:20240604T140000
DTEND;TZID=America/New_York:20240604T150000
DTSTAMP:20260414T150542
CREATED:20240523T135748Z
LAST-MODIFIED:20240813T164205Z
UID:10003391-1717509600-1717513200@cmsa.fas.harvard.edu
SUMMARY:Corks for exotic diffeomorphisms
DESCRIPTION:Speaker: Slava Krushkal\, University of Virginia \nTitle: Corks for exotic diffeomorphisms \nAbstract: Exotic smooth structures on simply-connected 4-manifolds are known to be related by cork twists: cutting out and re-gluing certain smooth contractible submanifolds. Work in progress\, joint with A. Mukherjee\, M. Powell\, and T. Warren\, provides a localization result for exotic diffeomorphisms of 4-manifolds. I will also discuss applications to known examples of exotic diffeomorphisms. \n 
URL:https://cmsa.fas.harvard.edu/event/corks-for-exotic-diffeomorphisms/
LOCATION:CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Special Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/LowDimTop.png
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DTSTART;TZID=America/New_York:20240604T160000
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DTSTAMP:20260414T150542
CREATED:20240523T135549Z
LAST-MODIFIED:20240813T164318Z
UID:10003390-1717516800-1717520400@cmsa.fas.harvard.edu
SUMMARY:Can embedding problems be used to distinguish S^4 from other (possible) homotopy 4-spheres?
DESCRIPTION:Speaker: Michael Freedman\, Harvard CMSA \nTitle: Can embedding problems be used to distinguish S^4 from other (possible) homotopy 4-spheres? \nAbstract: There are approaches in the literature (using Khovanov homology) to detecting a homotopy 4-sphere\, via the 4-ball genus of knots. I’d like to suggest moving from surfaces to 3-manifolds\, that is approaching the problem by considering the which closed 3-manifolds embed.  Embedding in the actual S^4 implies a curious condition on the possible Heegaard diagrams for the 3-manifold. I’ll explain this condition and speculate on how it might be exploited.
URL:https://cmsa.fas.harvard.edu/event/can-embedding-problems-be-used-to-distinguish-s4-from-other-possible-homotopy-4-spheres/
LOCATION:CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Special Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/LowDimTop.png
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