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Rigidity of geodesic completeness in Lorentzian geometry

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Ivan Pontual, University of Miami

What
  • Colloquium
When Fri, Nov 18, 2016
from 11:00 AM to 11:50 AM
Where Ritter Hall 225
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Abstract: The well-known singularity theorems, proven mainly by Roger Penrose and Stephen Hawking in the 1960's, are cornerstones of global Lorentzian geometry, not only for their tremendous impact in physics, but also because of the richness of geodesic (in)completeness in they reveal, sometimes in stark contrast with Riemannian ambients. Equally important, on the other hand, is to understand the restrictions that geodesic completeness imposes on the global geometry of spacetimes in physically relevant situations. In this talk, aimed at non-experts, I review some old and new theorems which illustrate this phenomenon. 

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