Abstract

We will first overview the collapsing geometry of manifolds with bounded sectional curvature, mainly due to Cheeger, Fukaya and Gromov. Then I shall generalize almost flat manifold theorem and smooth fibration theorem to RCD spaces with non-collapsing (local) universal covers.

Brief biography

Jikang Wang is currently a Morrey visiting assistant professor at UC Berkeley. He obtained his Ph.D at Rutgers University in 2022 under the supervision of Xiaochun Rong. His research focuses on metric geometry.

Zoom meeting

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