Thursday, June 23, 2022 - 17:15 in V2-210/216
The stability of black holes in general relativity
A talk in the Mathematisches Kolloquium & Mathematisches Kolloquium (SFB 1283) series by
Gustav Holzegel from WWU Münster
| Abstract: |
Black Holes feature among the most fascinating predictions of Einstein’s theory of general relativity. In the past decades fundamental progress has been made both at the experimental level and at the level of their mathematical understanding, which is the topic of my talk. I will begin by connecting general relativity to the analysis of non-linear partial differential equations and describe the the geometry of the most important black hole solutions. In the main part of the talk I will introduce the stability problem for black holes and focus on recent work with Dafermos, Rodnianski and Taylor establishing the non-linear stability of the Schwarzschild family of black holes. Emphasis will be put on explaining the interplay between geometry and analysis.
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