Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg

 

Oberseminar Differentialgeometrie

 

Professor Dr. Demetre Kazaras
Michigan State University

 
spricht am
 
Montag, 1. Juli 2024
 
um
 
16 Uhr s.t.
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»Scalar curvature and codimension 2 collapse«

Abstract:
This talk is about the structure of Riemannian 3-manifolds satisfying a lower bound on their scalar curvature. These manifolds are toy models for spatial geometry in general relativity. I will discuss a "drawstring" construction, which modifies a manifold near a given curve, reducing its length with negligible damage to a scalar curvature lower bound. This extends ideas of Basilio-Dodziuk-Sormani and Lee-Naber-Neumayer. The drawstrings produce unexpected examples with relevance to a few areas, including the question "How flat is an isolated gravitational system with very little total mass?" This is based on joint work with Kai Xu.

 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Bernhard Hanke
 

Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).



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