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B.O.W.L.

An online geometry seminar run by the groups in Brussels, Oxford, Warwick and London

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02-02-21Chao Li (Princeton)

Chao Li will talk on 2nd February, at 1.45pm UK time, or 2.45pm Belgian time. Chao’s title is “Scalar curvature on aspherical manifolds” and the abstract is below.

Scalar curvature on aspherical manifolds

It has been a classical question which manifolds admit Riemannian metrics with positive scalar curvature. I will first review some history of this question, and present some recent progress, ruling out positive scalar curvature on closed aspherical manifolds of dimensions 4 and 5 (as conjectured by Schoen-Yau and by Gromov). I will also discuss some related questions including the Urysohn width inequalities on manifolds with scalar curvature lower bounds. This talk is based on joint work with Otis Chodosh.

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