2016广义相对论会议(CGR 2016)

2016-01-05 ~ 2016-01-09 521

Synopsis and Organizers

Synopsis: Einstein's general relativistic field equations govern the Universe, in particular phenomena in cosmology, astrophysics and notably gravitational waves. The study of these equations has led to thriving new mathematical research in the areas of geometric analysis, nonlinear partial differential equations (PDE) of hyperbolic and elliptic character, differential geometry as well as in scattering theory and the analysis of asymptotic behavior of solutions. Purely analytic and numerical methods complement each other on this road. Modern mathematical breakthroughs allow to attack and solve physical problems that have been a challenge for the last century. Among these are the study and detection of gravitational waves. These are produced in mergers of black holes or neutron stars or in core-collapse supernovae. Our era faces the verge of detection of these waves, which we can think of as fluctuations in the curvature of the spacetime. Mathematically, gravitational waves are investigated by means of geometric analysis as well as numerics. Through geometric analysis, Christodoulou's findings of a nonlinear memory effect of gravitational waves, displacing test masses permanently, has sparked new research leading to insights into this very effect for other fields coupled to Einstein equations. In recent years, a monumental breakthrough in mathematical GR and geometric analysis occurred with the study of black hole formation, showing that through the focusing of gravitational waves a closed trapped surface and subsequently a black hole will form. This research has launched new activities in areas of hyperbolic PDE. Progress has been made in investigating marginally outer trapped surfaces. They were proven to be useful for studying spacetime incompleteness, black hole uniqueness, and topological restrictions on asymptotically Euclidean initial data sets. At the same time, initial data engineering has made huge progress through gluing techniques. In general, the study of the constraint equations and the conformal method have produced interesting results. New insights were gained on quasilocal definitions of energy. The longstanding conjecture of strong cosmic censorship has been investigated very intensely. An area of very active research in the past years has been the stability of black hole spacetimes. The stability of Minkowski spacetime, the study of the evolution equations or the Penrose inequality have pushed further mathematical and physical research, thereby having created more challenging questions for the future. On the cosmological side, investigations have concerned small scale inhomogeneities, the accelerated expansion of the Universe and primordial gravitational waves. This conference discusses recent developments in these areas.

Organizers

Name University
Lydia Bieri University of Michigan
Shiu-Yuen Cheng Tsinghua University
David Garfinkle Oakland University
James Isenberg University of Oregon
Shing-Tung Yau Harvard University


Plenary Speakers

Xinliang An Rutgers University, USA
Lars Andersson Albert Einstein Institute, Germany
Abhay Ashtekar Pennsylvania State University, USA
Stefanos Aretakis Princeton University, USA
Carla Cederbaum University of Tuebingen, Germany
Poning Chen Columbia University, USA
Demetrios Christodoulou ETH Zürich, Switzerland
Piotr Chrusciel "University of Vienna, Austria
Justin Corvino Lafayette College, USA
Greg Galloway University of Miami, USA
Sergiu Klainerman Princeton University, USA
Steve Liebling University of Long Island, USA
David Maxwell University of Alaska Fairbanks, USA
Pengzi Miao University of Miami, USA
Todd Oliynyk Monash University, Australia
Volker Schlue Laboratoire Jacques-Louis Lions, UPMC, France
Richard Schoen "Stanford University, USA
Robert M. Wald University of Chicago, USA
Mu-Tao Wang Columbia University, USA
Willie Wong Michigan State University, USA
Pin Yu Tsinghua University, China


Participants

Participants

Xinliang An Rutgers University, USA
Lars Andersson University of Miami, USA
Abhay Ashtekar Pennsylvania State University, USA
Stefanos Aretakis Princeton University, USA
Lydia Bieri University of Michigan, USA
Beatrice Bonga Penn State with Abhay Ashtekar, USA
Armando Cabrera University of Miami, USA
Carla Cederbaum University of Tuebingen, Germany
Poning Chen Columbia University, USA
Shiu-Yuen Cheng Tsinghua University, China
Demetrios Christodoulou ETH Zürich, Switzerland
Piotr Chrusciel University of Vienna, Austria
Justin Corvino Lafayette College, USA
Eric D'Avignon Texas A&M University, USA
Matthew Phillip DeCross Massachusetts Institute of Technology, USA
Greg Galloway University of Miami, USA
David Garfinkle Oakland University, USA
Karsten Gimre Columbia University, USA
Daniel Hemberger California Institute of Technology, USA
James Isenberg University of Oregon, USA
Aruna Kesavan Penn State with Abhay Ashtekar, USA
Sergiu Klainerman Princeton University, USA
Adam Layne University of Oregon, Eugene, USA
Pengyu Le ETH Zürich, Switzerland
Steve Liebling University of Long Island, USA
Chao Liu Monash University, Melbourne, Australia
Siyuan Ma Max Planck Institute for Gravitational Physics, Germany
John Byron Manchak University of California, Irvine, USA
Pengzi Miao University of Miami, USA
David Maxwell University of Alaska Fairbanks, USA
Shuang Miao University of Michigan, USA
Gabriel N Montes de Oca University of Oregon, Eugene, USA
Maria Okounkova California Institute of Technology, USA
Todd Oliynyk Monash University, Australia
Claudio Paganini Max Planck Institute for Gravitational Physics, Germany
Volker Schlue Laboratoire Jacques-Louis Lions, UPMC, France
Richard Schoen Stanford University, USA
Peter Smillie Harvard University, USA
Sohrab Shahshahani University of Michigan, USA
Robert M. Wald University of Chicago, USA
Mu-Tao Wang Columbia University, USA
Jinhua Wang Max Planck Institute for Gravitational Physics, Germany
Willie Wong Michigan State University, USA
Sijue Wu University of Michigan, USA
Shing-Tung Yau Harvard University, USA
Pin Yu Tsinghua University, China
Chenglong Yu Harvard University, USA