# 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 programme 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 **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)

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

**Further Lectures:**

- Talk
**Martin Reiris**(U de la Republica, Montevideo):**A classification of static and stationary solutions to Einstein****field equations obtained by the application of novel techniques in comparison****geometry**

** July 31, 2017, 1:00 p.m., **Announcement (pdf)

- Talk
**Katharina Rademacher****Strong Cosmic Censorship and the initial singularity in Bianchi spacetimes**

** August 2, 2017, 3:30 p.m., **Announcement (pdf)

- Talk
**Marcus Khuri**(State U New York, Stony Brook):**Existence and Uniqueness for Near-Horizon Geometries in the Cosmological Setting**

**August 4, 2017, 1:00 p.m.,**Announcement (pdf)

- Talk
**Eric Woolgar**(U of Alberta, Edmonton):**Lorentzian Bakry-Emery Theory,**

**August 7, 2017, 1:00 p.m.**, Announcement (pdf)

- Talk
**Annegret Burtscher**(U Bonn):**On the asymptotic behavior of static perfect fluids**

**August 9, 2017, 3:30 p.m.,**Announcement (pdf)

- Talk
**Gilbert Weinstein**(Ariel U):**Bi-axisymmetric Stationary Solutions to the Vacuum Einstein Equation with Non-spherical****Horizons**

**August 10, 2017, 3:30 p.m.,**Announcement (pdf)

- Talk
**Peter Topping**(U of Warwick):**Ricci Flow and Ricci Limit Spaces****August 11, 2017, 1:00 p.m.,**Announcement (pdf)

- Talk
**Luc Nguyen**(Oxford U):**Existence and uniqueness of Green's functions to a nonlinear Yamabe problem****August 14, 2017, 1:00 p.m.,**Announcement (pdf)

- Talk
**Stefan Haller**(U Vienna):**The heat equation on filtered manifolds****August 21, 2017, 3:30 p.m.,**Announcement (pdf)

- Talk
**Hubert Bray**(Duke U):**Flatly Foliated Relativity: A Stepping Stone between Special and General Relativity**

**August 22, 2017, 3:30 p.m.,**Announcement (pdf)

- Talk
**Volker Branding**(U Vienna):**The supersymmetric nonlinear sigma model: Harmonic maps coupled to spinor fields**

**August 23, 2017, 3:30 p.m.,**Announcement (pdf)

- Talk
**Juan Valiente-Kroon**(Queen Mary College, London):**On the construction of anti-de Sitter-like spacetimes**

**August 24, 2017, 3:30 p.m.,**Announcement (pdf)

- Talk
**Jérémie Joudioux**(U Vienna):**The stability of Minkowski space as a solution to the Einstein-Vlasov system**

**August 25, 2017, 1:00 p.m.,**Announcement (pdf)

- Talk
**Håkan Andréasson**(U Chalmers):**Approximating gravitational collapse for dust with Vlasov matter**

**September 6, 2017, 3:30 p.m.,**Announcement (pdf)

- Talk
**Tim-Torben Paetz**(U Vienna):**Analysis of a Bianchi-ike equation satisfied by the Mars-Simon tensor**

**workshop "Advances in General Relativity"**will take place from

**August 28**Schedule (pdf) [updated August 29, 2017]

**–**September 1, 2017.**Lise Meitner Lecture Hall, 1st floor, Faculty of Physics, Strudlhofgasse 4, 1090 Vienna, (map)**

**Venue for MONDAY AFTERNOON (August 28, 2017) of the workshop, the conference and the summer school in July:**# 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) |

Add event to calendar: |
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More: | Homepage |