Home /  Initial Data and Evolution Problems in General Relativity

Workshop

Initial Data and Evolution Problems in General Relativity November 18, 2013 - November 22, 2013
To apply for Funding you must register by: August 18, 2013 almost 11 years ago
Parent Program:
Location: Mathematical Sciences Research Institute, Berkeley CA
Organizers LEAD Piotr Chrusciel (University of Vienna), LEAD Igor Rodnianski (Princeton University)
Speaker(s)

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Description
This workshop discusses recent developments both in the study of the properties of initial data for Einstein's equations, and in the study of solutions of the Einstein evolution problem. Cosmic censorship, the formation and stability of black holes, the role of mass and quasi-local mass, and the construction of solutions of the Einstein constraint equations are focus problems for the workshop. We highlight recent developments, and examine major areas in which future progress is likely.   Click here for the bibliography
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Funding & Logistics Show All Collapse

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To apply for funding, you must register by the funding application deadline displayed above.

Students, recent PhDs, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.

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For information about recommended hotels for visits of under 30 days, visit Short-Term Housing. Questions? Contact coord@slmath.org.

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Schedule, Notes/Handouts & Videos
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Nov 18, 2013
Monday
09:15 AM - 09:30 AM
  Welcome
09:30 AM - 10:30 AM
  Simple nonlinear waves on curved manifolds
Piotr Bizon (Jagiellonian University)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Stability and instability of spatially homogeneous solutions in the T^2 symmetric setting
Hans Ringström (Royal Institute of Technology (KTH))
12:00 PM - 01:15 PM
  Lunch
01:15 PM - 02:15 PM
  Conservation laws for the wave equation and applications
Stefanos Aretakis (Princeton University)
02:20 PM - 03:15 PM
  Asymptotically Flat Graphs with Small Mass
Lan-Hsuan Huang (University of Connecticut)
03:15 PM - 03:45 PM
  Tea
04:10 PM - 05:00 PM
  MSRI/Evans Lecture: On an information-theoretical interpolation inequality
VILLANI Cedric (Institute Henri Poincare)
Nov 19, 2013
Tuesday
09:30 AM - 10:30 AM
  The  formation of  Trapped  Surfaces
Sergiu Klainerman (Princeton University)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Hyperboloidal Evolution and Applications
Anil Zenginoglu (California Institute of Technology)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  The resolution of the bounded L2 curvature conjecture in general relativity
Jeremie Szeftel (Sorbonne Université)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Black hole stability backwards and forwards
Mihalis Dafermos (Princeton University)
04:30 PM - 06:20 PM
  Reception
Nov 20, 2013
Wednesday
09:30 AM - 10:30 AM
  Approximating general data by optimally flat data"
Richard Schoen (Stanford University)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Constraint equations on compact manifolds with boundary (Join work with Emmanuel Humbert and Ngo Quoc Anh
Romain Gicquaud (Université de Tours (François Rabelais))
Nov 21, 2013
Thursday
09:30 AM - 10:30 AM
  The Nahm pole boundary conditions for the KW equations
Rafe Mazzeo (Stanford University)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  A Jang equation approach to the positive mass theorem for asymptotically hyperbolic manifolds
Anna Sakovich (Uppsala University)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Decay of scalar and electromagnetic waves on black hole backgrounds
Daniel Tataru (University of California, Berkeley)
03:00 PM - 04:00 PM
  Tea
03:00 PM - 04:00 PM
  Poster Session
04:00 PM - 05:00 PM
  Applications of Bifurcation Analysis to the Einstein Constraint Equations
Caleb Meier (University of California, San Diego)
Nov 22, 2013
Friday
09:30 AM - 10:30 AM
  The Penrose inequality for asymptotically locally hyperbolic spaces with nonpositive mass
Dan Lee (Queens College, CUNY)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Density and deformation theorems for the Einstein constraint equations.
Justin Corvino (Lafayette College)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Linear Stability of the Schwarzschild Solution
Gustav Holzegel (Imperial College, London)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Weak null singularities in general relativity
Jonathan Luk (Massachusetts Institute of Technology)