*Organizers*

*Lars Andersson (Potsdam)*

*Sergiu Klainerman (Princeton) *

#### Philippe G. LeFloch *(Paris) *

**September 14, 2015 to December 18, 2015**

** Registration here**

Program coordinated by the Centre Emile Borel at IHP. Financial support provided by the Institut Henri Poincaré and the ANR Project *“Mathematical General Relativity. Analysis and geometry of spacetimes with low regularity”.*

**Main Themes of the Program**

Einstein’s field equation of general relativity is one of the most important geometric partial differential equations. Over the past decade, the mathematical research on Einstein equation has made spectacular progress on many fronts (Cauchy problem, cosmic censorship, asymptotic behavior). These developments have brought into focus the deep connections between the Einstein equation and other important geometric PDE’s, including the wave map equation, Yang-Mills equation, Yamabe problem, as well as Hamilton’s Ricci flow. The field is of growing interest for mathematicians and of intense current activity, as is illustrated by major recent breakthrough, concerning the uniqueness and stability of the Kerr black hole model, the formation of trapped surfaces, and the bounded L2 curvature problem. Specifically, the themes of mathematical interest that will be developed in the present Program and are currently most active include:

- The initial value problem for Einstein equation and the causal geometry of spacetimes with low regularity, formation of trapped surfaces

- Techniques of Lorentzian geometry: injectivity radius estimates, geometry of null cones; construction of parametrix

- Geometry of black hole spacetimes: uniqueness theorems, censorship principles

- Coupling of Einstein equation for self-gravitating matter models, weakly regular spacetimes with symmetry

**MAIN EVENTS of the TRIMESTER**

Sept. 14 to 18, 2015: **Summer School – INTRODUCTION TO MATHEMATICAL GENERAL RELATIVITY **

**List of speakers**

Greg Galloway (Miami)

Gerhard Huisken (Tuebingen)

Alexandru Ionescu (Princeton)

Hans Ringstrom (Stockholm)

Sept. 23 to 25, 2015: **Workshop – RECENT ADVANCES IN MATHEMATICAL GENERAL RELATIVITY**

**List of speakers**

Spyros Alexakis (Toronto)

Piotr Chrusciel (Vienna) *

Semyon Dyatlov (Cambridge, USA)

Greg Galloway (Miami)

Stefan Hollands (Cardiff)

Alexandru Ionescu (Princeton)

Vincent Moncrief (Yale)

Harvey Reall (Cambridge, UK)

Hans Ringstrom (Stockholm)

Mu-Tao Wang (New York)

Sept. 28 to Oct. 1rst, 2015: ** Workshop – GEOMETRIC ASPECTS OF MATHEMATICAL RELATIVITY** (Hold in Montpellier and organized by Marc Herzlich and Erwann Delay)

**List of speakers**

Piotr Chrusciel (Vienna)

Michael Eichmair (Zürich)

Mu-Tao Wang (New York)

Oct. 26 to 29, 2015: **Workshop – DYNAMICS OF SELF-GRAVITATING MATTER** **List of speakers**

Hakan Andreasson (Gothenburg) *

Robert Beig (Vienna)

Todd Oliynyk (Monash)

Gerhard Rein (Bayreuth) *

Bernd Schmidt (Potsdam)

Jared Speck (Cambridge, USA) *

Marc Mars (Salamanca)

Robert Strain (Philadelphia) *

Shadi Tahvildar-Zadeh (Rutgers)

* To be confirmed

Nov. 16 to 20, 2015: **International Conference – GENERAL RELATIVITY – A Celebration of the 100th Anniversary** **List of speakers**

Jean-Pierre Bourguignon (Bures-sur-Yvette)

Pieter Blue (Edinburgh) *Almost Optimal Well-Posedness for a first-order system of Yang-Mills type*

Matthew Choptuik (Vancouver)

Demetrios Christodoulou (Zürich & Athens)

Mihalis Dafermos (Princeton)

Thibault Damour (Bures-sur-Yvette)

Georges Ellis (Cape Town)

Richard Hamilton (New York) *

Jonathan Luk (Cambridge, UK)

Roger Penrose (Oxford) *The Conformal Geometry of Space-Time and its Value in the Study of Gravitational Waves and Cosmology: Old Ideas and New Developments*

Igor Rodnianski (Princeton)

Richard Schoen (Stanford)

Jacques Smulevici (Orsay)* A vector field method for classical and relativistic transport equations with applications*

John Stachel (Boston) *Diffeomorphism invariance: did Einstein overshoot the mark? (joint with K. Bradonjic)*

Jérémie Szeftel (Paris)

Robert Wald (Chicago)

Qian Wang (Oxford)

* (to be confirmed)

Dec. 14 to 16, 2015: ** International Conference- RELATIVITY AND GEOMETRY – IN MEMORY OF A. LICHNEROWICZ ** (Organized by Giuseppe Dito, Paul Gauduchon, Richard Kerner, Yvette Kosmann-Schwarzbach et Daniel Sternheimer) For further information on this event, see THIS LINK

**List of speakers**: Robert Bryant, Pierre Cartier, Thibault Damour, Simon Donaldson, Michel Dubois-Violette, Edward Frenkel, Simone Gutt, Jim Isenberg, Sergiu Klainerman, Alan Weinstein

**LIST OF LONG TERM VISITORS for THE TRIMESTER **

**(partial list) **

Lars Andersson (Potsdam)

Thierry Barbot (Avignon)

Florian Beyer (Dunedin)

Mattias Dahl (Stockholm)

Romain Gicquaud (Tours)

Jean-Claude Guillot (Palaiseau)

Jim Isenberg (Eugene)

Sergiu Klainerman (Princeton)

Philippe LeFloch (Paris)

Hand Lindblad (Baltimore)

Lionel Mason (Oxford)

Vincent Moncrief (Yale)

Vincent Pecastaing (Orsay)

Jérémie Szeftel (Paris)

Jared Wunsch (Evanston)

Ghani Zeghib (Lyon)

Program coordinated by the Centre Emile Borel at IHP. Financial support provided by the Institut Henri Poincaré and the ANR Project *“Mathematical General Relativity. Analysis and geometry of spacetimes with low regularity”.*