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SUMMARY:The many faces of global hyperbolicity - Annegret Burtscher (Radbo
 ud)
DTSTART:20240212T143000Z
DTEND:20240212T153000Z
UID:TALK211945@talks.cam.ac.uk
CONTACT:Dr Greg Taujanskas
DESCRIPTION:The notion of global hyperbolicity was introduced by Jean Lera
 y in 1952 to obtain global uniqueness of solutions to nonlinear wave equat
 ions. Globally hyperbolic spacetimes subsequently turned out to be the rig
 ht geometric setting not only for the well-posedness of the initial value 
 formulation for the Einstein equations in General Relativity but also for 
 the singularity theorems of Penrose and Hawking and several splitting resu
 lts in Lorentzian geometry. After reviewing the rich history and omniprese
 nce of global hyperbolicity in General Relativity\, I discuss recent geome
 tric insights in settings with a timelike boundary and in low regularity\,
  and present our new characterization via metric completeness.
LOCATION:MR11
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