Avancées récentes en relativité mathématique :
une conférence en l'honneur d'Yvonne Choquet-Bruhat
Centre de conférences Marilyn et James Simons
9-10 janvier 2014
Organisateurs : Jean-Pierre Bourguignon, Thibault Damour
Yvonne Choquet-Bruhat a apporté nombre de contributions majeures et durables aux aspects mathématiques et physiques de la relativité générale en commençant par son travail fondateur de 1952 montrant que le problème de Cauchy pour les équations d'Einstein est bien posé. A l'occasion de son 90ème anniversaire (29 Décembre 2013), des experts reconnus présenteront des développements récents en relativité mathématique.
Demetrios Christodoulou (ETH, Zürich)
Piotr Chrusciel (University of Vienna)
Helmut Friedrich (Max-Plank-Institut fuer Gravitationsphysik, Potsdam)
Jim Isenberg (University of Oregon)
Sergiu Klainerman (Princeton University)
Vincent Moncrief (Dpt of Physics and Mathematics, Yale University)
Tommaso Ruggeri (University of Bologna)
Jeudi 9 janvier 2014
Accueil des participants 13h50
Ouverture de la conférence 14h00
On the Mechanics of Crystalline Solids with a Continuous Distribution of Dislocations
The Many Ways of the Characteristic Cauchy Problem
On Anti-de Sitter Type Space-Times
17h30 James ISENBERG
The Conformal Method and Solutions of the Einstein Constraint Equation :
Success, and Looming Difficulties
Vendredi 10 janvier 2014
Are Black Holes Real
Reflections on U(1) Invariant Einsteinian Universes
Recent Mathematical Results in Classical and Relativistic Extended Thermodynamics
A brief assessment of the work of Yvonne Choquet-Bruhat
[text prepared on the occasion of the MSRI Program on Mathematical General Relativity (August 19, 2013 to December 20, 2013)]
Sixty-one years ago, Yvonne Choquet-Bruhat essentially invented the field of mathematical general relativity (GR). While a number of explicit solutions of the Einstein gravitational field equations had already been found, it was only after Yvonne's proof in 1952 of the well-posedness of Einstein's equations that GR became a topic of serious mathematical interest. In this epic work, published as her Thèse d'Etat when she was 28, Yvonne showed that if certain geometric fields representing the initial state of the gravitational field are chosen to satisfy constraint equations, then there is always a spacetime solution of the full system of Einstein's equations that is compatible with the initial state data set, representing its future and its past.
Yvonne's career since then has been one of remarkable achievement. In mathematical GR, she has made groundbreaking advances in the study of solutions of the Einstein constraint equations as well as in the analysis of the evolution of initial data into spacetime solutions of the Einstein field equations. A key aspect of Yvonne's work is its development of new mathematical tools as well as its invention of new approaches to applying these tools to problems of interest.
Besides her work in mathematical GR, Yvonne has made major contributions in her work on wave maps, spinor fields, supergravity, and fluid dynamics. She has published well over 200 research papers as well as three major research books. Her production continues to be strong, even after her 1992 "retirement" from her position as professor at Universite' Pierre-et-Marie-Curie (Paris VI). Since 2009, she has written 8 papers, has completed her wonderful 700-page monograph "General Relativity and the Einstein Equations" (Oxford University Press), and is now finishing another monograph on GR
Among her wide range of distinguished honors, Yvonne became the first woman member of the Academie des Sciences de Paris in 1979. She has also been appointed Grand Officier de la Legion d'Honneur and Grand Croix de l'Ordre National du Merite. She is an honorary member of the American Academy of Arts and Sciences and the Moscow Mathematical Society.
In the midst of her very long list of major honors and achievements, it is important to note that Yvonne is one of the warmest, kindest, and most approachable people I know. I look forward to her 90th birthday celebration in January at IHES.