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Hot Topics: Black Holes in Relativity

September 14, 2009 to September 18, 2009
Organized By: Mihalis Dafermos (University of Cambridge) and Igor Rodnianski* (Princeton)
 
Participant List:
View a List of Registered Participants
 
The mathematical study of the dynamics of the Einstein equations forms a central part of both partial differential equations and geometry, and is intimately related to our current physical understanding of gravitational collapse. The celebrated singularity theorems of Penrose, proven in the 1960s, showed that geodesic incompleteness is inevitable provided that initial data contain what is known as a closed trapped surface. Trapped surfaces are also related to the presence of black holes. A breakthrough into the understanding of trapped surface formation has recently been achieved by Christodoulou in his 600 page monograph: "The formation of black holes in General Relativity", Publications of the EMS, January 2009, where it is shown that trapped surfaces form in evolution for the Einstein vacuum equations from completely dispersed initial confgurations, a phenomenon caused purely by the focussing of gravitational waves. The proof brings together ideas from geometric analysis and non-linear hyperbolic equations and at the same time introduces new techniques adapted to large data problems. The methods will undoubtedly have many future applications in both general relativity and other equations of mathematical physics. Inparticular, the work provides the first global "large data" result in general relativity (without symmetry assumptions) and opens the possibility for many new developments on dynamical problems relating to black holes.

Accomodations:

A block of rooms has been reserved at the Rose Garden Inn. Reservations may be made by calling 1-800-992-9005 OR directly on their website. Click on Corporate at the bottom of the screen and when prompted enter code MATH (this code is not case sensitive). By using this code a new calendar will appear and will show MSRI rate on all room types available.
The cut-off date for reservations is August 31, 2009.

A block of rooms has been reserved at the Hotel Durant. Please mention the workshop name and reference the following code when making reservations via phone, fax or e-mail: BLACKHOLESMSRI. The cut-off date for reservations is August 13, 2009.

We also hold a block of rooms at the Doubletree Hotel. Please mention the MSRI as a reference when making reservations by calling 510-548-7920 OR directly on their website. The Doubletree Hotel offers complementary shuttle to and from MSRI. The room rate is $99 per night.

New, completely renovated Hotel Shattuck Plaza has rooms available for you as well!
Click here to book online
Or, you can make reservations calling the main line, 510-845-7300, and asking for the rate for Hot Topics: Black Holes in Relativity. The room rate is $119 per night plus tax.
 

Follow this link to read about the new U.S. visa requirements

 

Schedule

Monday September 14, 2009

09:40AM - 10:00AM  Welcoming, Robert Bryant, MSRI Director
10:00AM - 11:00AM  Mihalis Dafermos An introduction to the problem of evolution in general relativity
11:00AM - 11:30AM  Coffee, tea in the atrium
11:30AM - 12:30PM  Demetrios Christodoulou Formation of black holes
12:30PM - 02:00PM  Lunch
02:00PM - 03:00PM  Alan Rendall The characteristic initial value problem in General Relativity
03:00PM - 03:30PM  Coffee, tea in the atrium

Tuesday September 15, 2009

10:00AM - 11:00AM  Demetrios Christodoulou Formation of black holes
11:00AM - 11:30AM  Coffee, tea in the atrium
11:30AM - 12:30PM  Greg Galloway Aspects of marginally trapped surfaces in 2+1 and higher dimensional gravity
12:30PM - 02:00PM  Lunch
02:00PM - 03:00PM  James Isenberg Constraint equations of General Relativity
03:00PM - 03:30PM  Coffee, tea in the atrium

Wednesday September 16, 2009

10:00AM - 11:00AM  Demetrios Christodoulou Formation of black holes
11:00AM - 11:30AM  Coffee, tea in tha atrium
11:30AM - 12:30PM  Spyridon Alexakis On black holes uniqueness
12:30PM - 02:00PM  Lunch
02:00PM - 03:00PM  Robert Bartnik ADM revisited
03:00PM - 04:00PM  Coffee, tea in the atrium

Thursday September 17, 2009

10:00AM - 11:00AM  Demetrios Christodoulou Formation of black holes
11:00AM - 11:30AM  Coffee, tea in the atrium
11:30AM - 12:30PM  Mihalis Dafermos The black hole stability problem
12:30PM - 02:00PM  Lunch
02:00PM - 02:30PM  Pieter Blue Hidden symmetries and decay for the wave equation in Schwarzschild and Kerr spacetimes
02:30PM - 03:00PM  Gustav Holzegel The massive wave equation on Kerr-AdS spacetimes
03:00PM - 03:30PM  Coffee, tea in the atrium
03:30PM - 04:00PM  Mihai Tohaneanu Strichartz estimates on Schwarzschild and Kerr spacetimes
04:00PM - 04:30PM  Dean Baskin The Klein-Gordon equation on asymptotically de Sitter spaces
05:00PM - 07:00PM  Reception in the atrium

Friday September 18, 2009

10:00AM - 11:00AM  Igor Rodnianski On the short pulse method and its applications
11:00AM - 11:30AM  Coffee, tea in the atrium
11:30AM - 12:30PM  Maciej Zworski Quasinormal modes (resonances) for black holes
12:30PM - 02:00PM  Lunch and beyond discussion of open problems
02:00PM - 03:00PM  Mu-Tao Wang Quasi-local mass
03:00PM - 03:30PM  Coffee, tea in the atrium

Currently Available Videos

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