Speaker:    

李超 博士, NYU Courant
Inviter:      
Title:
    The geometry and topology of scalar curvature
Time & Venue:
    2022.09.23 09:00-10:00 腾讯会议：867-143-901
Abstract:
    

Scalar curvature is a weak curvature invariant of Riemannian metrics, making its effects on the geometry and topology of a manifold rather delicate. In this talk, I will survey some classical and recent results towards understanding such effects. In particular, I will discuss the macroscopic geometry of manifolds with positive scalar curvature, and its two applications: the solution to the K(pi, 1) conjecture in dimensions 4 and 5, as well as the stable Bernstein theorem for minimal hypersurfaces in R^4. Part of this talk is based on joint work with Otis Chodosh.
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