Topological rigidity of the first Betti number

Geometric Analysis and Application
Event time: 
Friday, December 17, 2021 - 2:00pm
Shaosai (Arthur) Huang
Speaker affiliation: 
University of California at Berkeley
Event description: 


The infranil fiber bundle is a typical structure appeared in the collapsing geometry with bounded sectional curvature. In this talk, I will discuss a topological condition on the first Betti numbers that guarantees a torus fiber bundle structure (a special type of infranil fiber bundle) for collapsing manifolds with only Ricci curvature bounded below. A major technique applied here is smoothing by Ricci flows. This is a joint work with Bing Wang.

Special note: 
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