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- FIELD
- Math:Geometry
- DATE
-
Mar 04 (Mon), 2024
- TIME
- 10:30 ~ 11:30
- PLACE
- 1423
- SPEAKER
- Johne, Florian
- HOST
- Choi, Kyeongsu
- INSTITUTE
- Albert Ludwigs University of Freiburg
- TITLE
- Topology and geometry of metrics of positive intermediate curvature
- ABSTRACT
- The notion of m-intermediate curvature interpolates between Ricci curvature and scalar curvature. In this talk we describe extentions of classical results by Bonnet--Myers and Schoen--Yau to the setting of $m$-intermediate curvature: A non-existence result for metrics of positive m-intermediate curvature on manifolds with topology $N^n = \mathbb{T}^m \times \mathbb{S}^{n-m}$; a gluing result for manifolds with $m$-convex boundary; inheritance of spectral positivity along stable minimal hypersurfaces, and estimates for the $m$-diameter for uniform positive lower bounds.
This talk is partially based on joint work with Simon Brendle and Sven Hirsch, and joint work with Aaron Chow and Jingbo Wan.
- FILE
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