Peter Woit quoted Atiyah in his blog ( http://scilogs.spektrum.de/hlf/sir-michael-atiyah-unity-mathematics-physics/ ) : "Tate-Shafarevich conjecture might have something to do with the 4-dimensional smooth Poincare conjecture" - it would be great if one could read more about that idea(s)?
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$\begingroup$ Do you know if there is video or a transcript of the talk? If Atiyah is just speculating, then it is unlikely that anything substantial is written up. $\endgroup$– S. Carnahan ♦Commented Sep 26, 2016 at 9:06
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$\begingroup$ Related: mathoverflow.net/questions/278288/… $\endgroup$– WatsonCommented Apr 23, 2018 at 20:50
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