Tag Archive

September 14, 2015 to December 18, 2015

Trimester Program at the

Centre Emile Borel

Financial support provided by Institut Henri Poincaré

and ANR Project “Mathematical General Relativity”

Organizers

Lars Andersson (Potsdam)

Sergiu Klainerman (Princeton) 

Philippe G. LeFloch (Paris) 

---

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, nonlinear stability of Minkowski space with matter

---

General schedule for the Trimester

SCIENTIFIC ACTIVITIES during the Trimester

• Workshops and Conferences (see below)
• On the Mathematical Theory of Black Holes, Course by S. Klainerman.
  • Begins on October 13 from 2pm to 4:30pm, and the following Tuesdays.
  • Video of the lectures
• An Introduction to Self-Gravitating Matter, Course by P.G. LeFloch.
  • Begins on October 9 from 2pm to 4:30pm, and the following Fridays.
  • LECTURE NOTES for this course
  • Video 1: An introduction to self-gravitating matter
  • Video 2: Modified gravity and weakly regular spacetimes
  • Video 3: Weak solutions to the Einstein equations
  • Video 4: Weakly regular Cauchy developments
  • Video 5: Self-gravitating fluids with bounded variation
  • Video 6: The geometry of weakly regular spacetimes
  • Video 7: Nonlinear stability of Minkowski space for massive fields
• Weekly Seminar on Mathematical General Relativity
  • organized by L. Andersson, jointly with S. Klainerman, P.G. LeFloch, J. Szeftel (Paris), and A. Zeghib (Lyon).
  • Begins on October 7 from 2pm to 4:30pm, and the following Wednesdays.
  • Speakers in the Seminar :
    • Bruno Premoselli (Cergy-Pontoise), Martin Taylor (Cambridge, UK)
    • Steffen Aksteiner (Potsdam), Lars Andersson (Potsdam)
    • Jesus Oliver (San Diego) 
    • Anne Franzen (Utrecht), Jared Wunsch (Evanston)
    • Sung-Jin Oh (Berkeley), Anna Sakovich (Vienna)
    • Hans Lindblad (Baltimore), Florian Beyer (Dunedin)

• VIDEOS available (courses, main conference)
• Tea break every day 3pm-3:30pm

---

WORKSHOPS AND CONFERENCES

 REGISTER HERE 

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

List of speakers

Greg Galloway (Miami)

Gerhard Huisken (Tuebingen)

Hans Ringstrom (Stockholm)

---

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

List of speakers

Spyros Alexakis (Toronto)

Piotr Chrusciel (Vienna)

Joao Costa (Lisbon)

Semyon Dyatlov (Cambridge, USA)

Stefan Hollands (Cardiff)

Alexandru Ionescu (Princeton)

Lionel Mason (Oxford)

Vincent Moncrief (Yale)

Jean-Philippe Nicolas (Brest)

Harvey Reall (Cambridge, UK)

Hans Ringstrom (Stockholm)

Mu-Tao Wang (New York)

---

Sept. 28 to Oct. 1, 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)

Thierry Barbot (Avignon)

Robert Beig (Vienna)

David Fajman (Vienna)

Marc Mars (Salamanca)

David Maxwell (Fairbanks)

Todd Oliynyk (Monash)

Volker Schlue (Toronto)

Bernd Schmidt (Potsdam)

Jared Speck (Cambridge, USA)

Shadi Tahvildar-Zadeh (Rutgers)

Eric Woolgar (Alberta)

---

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

List of speakers        Schedule and title

Jean-Pierre Bourguignon (Bures-sur-Yvette)

Demetrios Christodoulou (Zürich & Athens)

Mihalis Dafermos (Princeton)

Thibault Damour (Bures-sur-Yvette)

Georges Ellis (Cape Town)

Richard Hamilton (New York)

Gustav Holzegel (London)

Jonathan Luk (Cambridge, UK)

Roger Penrose (Oxford)

Richard Schoen (Stanford & Irvine)

Jacques Smulevici (Orsay) 

Jérémie Szeftel (Paris)

Robert Wald (Chicago)

Qian Wang (Oxford)

---

Dec. 14 to 16, 2015  International Conference-  RELATIVITY AND GEOMETRY – IN MEMORY OF A. LICHNEROWICZ  (Organized by Giuseppe Dito, Jean-Pierre Francoise, Paul Gauduchon, Richard Kerner, Yvette Kosmann-Schwarzbach et Daniel Sternheimer)

List of speakers

Olivier Biquard  (Paris 6)

Robert Bryant (Durham)

Pierre Cartier (Gif-Sur-Yvette) 

Thibault Damour (Gif-Sur-Yvette) 

Nathalie Deruelle (Paris 7)

Simon Donaldson  (Stony Brook & London) 

Michel Dubois-Violette  (Paris 11)

Charles Francès (Strasbourg)

Edward Frenkel  (Berkeley)

Christian Fronsdal (Los Angeles)

Simone Gutt  (Bruxelles)

James Isenberg  (Eugene)  

Sergiu Klainerman  (Princeton) 

Maxim Kontsevich  (Gif-Sur-Yvette) 

Alan Weinstein  (Berkeley)

---

---

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”.

---