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The Erwin Schroedinger Institute for Mathematical Physics

Geometry and Relativity

The goal of the programme is to bring together doctoral students, young researchers, and established experts who work on the overlap of geometric analysis and mathematical relativity. The recent developments in the area, and the new techniques that are proving to be particularly successful will be discussed. Above all, the program seeks to support existing collaborations and to inspire new ones.

The following topics have been seeing a surge of activity following spectacular recent breakthroughs. They form the thematic center of the programme:

  • Geometry of initial data sets

New notions of mass, quasi-local mass, and center of mass, as well as new proofs of the positive energy theorem yield deep insights to the geometry of initial data for the Einstein equations. The incompatibility of some of these notions raises difficult new questions that are being explored. Important themes here also include new initial data singularity theorems based on topological properties, and progress on the geometry of stationary black hole initial data.

  • Construction of initial data sets 

New gluing techniques for the constraint equations and progress on the solution of the classical conformal method allow for the construction of asymptotically flat and asymptotically hyperbolic initial data sets with surprising properties. New results on initial data with positive cosmological constant show a rich structure, including non-uniqueness and bifurcation phenomena, which deserves to be further explored.

  • Scalar Curvature 

The spectacular recent results on scalar curvature rigidity and the discovery of global effects of scalar curvature on the large scale isoperimetric structure of a Riemannian manifold have given new impetus to this classical field and have opened avenues for future research.

A conference will take place from July 24  July 28, 2017: Schedule (pdf)

And a workshop "Advances in General Relativity" will take place from August 28  September 1, 2017. 

Venue for the conference and the summer school in July: Lise Meitner Lecture Hall, 1st floor, Faculty of Physics, Strudlhofgasse 4, 1090 Vienna, (map)

A summer school will be part of the ESI Programme and will take place in the week before the conference, July 17 – July 21, 2017. See the web site of the Summer School for more details. Schedule (pdf)

At a glance

Type: Thematic Programme
When: Jul 17, 2017 to
Sep 08, 2017
Where: ESI, Boltzmann Lecture Hall and Lise Meitner Lecture Hall, Faculty of Physics, 1st floor, Strudlhofgasse 4, 1090 Vienna
Organizers: Robert Beig (U Vienna), Piotr T. Chruściel (U Vienna), Michael Eichmair (U Vienna), Gregory Galloway (U Miami), Richard Schoen (UC, Irvine), local organization: Tim-Torben Paetz (U Vienna)
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