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Restrictions on collapse with lower Ricci curvature bounds

Posted in
Speaker: 
Sergio Zamora
Affiliation: 
MPIM
Date: 
Thu, 08/12/2022 - 16:30 - 18:00
Location: 
MPIM Lecture Hall

Contact: Stephan Stadler (stadler@mpim-bonn.mpg.de)

Given a sequence $X_i $ of closed n-dimensional Riemannian manifolds of Ricci curvature bounded below and diameter bounded above, one can always find a convergent subsequence (in the Gromov-Hausdorff sense).
We study the relationship between the topology of the spaces $X_i $ and the geometry and topology of the limit space.

 

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