The many faces of global hyperbolicity
- đ¤ Speaker: Annegret Burtscher (Radboud)
- đ Date & Time: Monday 12 February 2024, 14:30 - 15:30
- đ Venue: MR11
Abstract
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.
Series This talk is part of the Geometric Analysis & Partial Differential Equations seminar series.
Included in Lists
- All CMS events
- All Talks (aka the CURE list)
- bld31
- CMS Events
- DPMMS info aggregator
- DPMMS lists
- DPMMS Lists
- DPMMS Pure Maths Seminar
- Fav
- Geometric Analysis & Partial Differential Equations seminar
- Hanchen DaDaDash
- Interested Talks
- MR11
- My seminars
- School of Physical Sciences
Note: Ex-directory lists are not shown.
![[Talks.cam]](/static/images/talkslogosmall.gif)

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