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6. Mar 2024

On the canonical geometric structure of initial data for the Einstein equations

Mathematics Colloquium

Datum: 6. March 2024 | 15:30 – 16:30
Sprecher: Michael Eichmair, University of Vienna
Veranstaltungsort: Raiffeisen Lecture Hall
Sprache: Englisch

I will start by recapping the recent results on the existence and uniqueness of constant mean curvature spheres that foliate the end of asymptotically flat Riemannian manifolds, completing a a program initiated by G. Huisken and S.-T. Yau in the early nineties. Then I will explain how these results may be viewed as effective versions of the positive mass theorem. In the second half of my talk, I will focus on a conjecture due to R. Schoen related to the minimal surface proof of the positive mass theorem and the proof of this conjecture in three space dimensions in my joint work with O. Chodosh. In higher dimensions, I will discuss counterexamples to the general conjecture and the proof of an important special case from my joint work with T. Koerber.

Weitere Informationen:

Datum:
6. March 2024
15:30 – 16:30

Sprecher:
Michael Eichmair, University of Vienna

Veranstaltungsort:
Raiffeisen Lecture Hall

Sprache:
Englisch

Ansprechpartner:

Birgit Oosthuizen-Noczil

Email:
birgit.oosthuizen-noczil@ist.ac.at

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