The many faces of global hyperbolicity

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• Annegret Burtscher (Radboud)
• Monday 12 February 2024, 14:30-15:30
• MR11.

If you have a question about this talk, please contact Dr Greg Taujanskas.

The notion of global hyperbolicity was introduced by Jean Leray in 1952 to obtain global uniqueness of solutions to nonlinear wave equations. Globally hyperbolic spacetimes subsequently turned out to be the right 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 results in Lorentzian geometry. After reviewing the rich history and omnipresence of global hyperbolicity in General Relativity, I discuss recent geometric insights in settings with a timelike boundary and in low regularity, and present our new characterization via metric completeness.

This talk is part of the Partial Differential Equations seminar series.

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