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https://youtu.be/HWL5Rg9B624 Speaker: Slava Krushkal, University of Virginia Title: Corks for exotic diffeomorphisms Abstract: 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 […]
https://youtu.be/18eVp3fOh-4 Speaker: Michael Freedman, Harvard CMSA Title: Can embedding problems be used to distinguish S^4 from other (possible) homotopy 4-spheres? Abstract: 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 […] |
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