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Summer Graduate Workshop
Mathematical General Relativity
Jul 9, 2012 to Jul 20, 2012

Organizer(s)

Justin Corvino* (Lafayette College) and Pengzi Miao (University of Miami)

Contact

Mathematical general relativity is the study of mathematical problems related to Einstein's theory of gravitation. There are interesting connections between the physical theory and problems in differential geometry and partial differential equations.

The purpose of the workshop is to introduce graduate students to some fundamental aspects of mathematical general relativity, with particular emphasis on the geometry of the Einstein constraint equations and the Positive Mass Theorem.  These topics will comprise a component of the upcoming semester program at MSRI in Fall 2013.

There will be mini-courses, as well as several research lectures. Students are expected to have had courses in graduate real analysis and Riemannian geometry, while a course in graduate-level partial differential equations is recommended.

Bibliography (PDF)
Intro to GR Notes (PDF)
Harmonic Function and AF metrics (PDF)
Intro-GR-Lecture (PDF)
Some Exact Solutions (PDF)
Causality Lecture 1 (PDF)
Causality Lecture 2 (PDF)
Causality Lecture 3 (PDF)
Basic Schw Probs (PDF)
Basic Scalar Probs (PDF)
Basic Geom Probs (PDF)
Basic pde Probs (PDF)
More on Schwarzschild Spacetime (PDF)
Riccati and Raychaudhuri Equations (PDF)
Singularity Theorems (PDF)
Prof. Lan-Hsuan Huang's Problems (PDF)
Prof. Lan-Hsuan Huang's Lecture Notes (PDF)
SV-CM Notes (PDF)
Parry-Scalar Field Dark Matter-Presentation (PDF)
Cauchy Problem and Cosmic Censorship (PDF)

For eligibility and how to apply, see the Summer Graduate Workshop homepage

Important

Schedule
Monday, July 09, 2012
9:15AM - 9:30AM MSRI, Simons Auditorium Welcome to MSRI
9:30AM - 10:45AM MSRI, Simons Auditorium Lecture (Justin Corvino) [Video available]
10:45AM - 11:15AM MSRI, Simons Auditorium Break
10:45AM - 11:15AM MSRI, Atrium Tea
11:15AM - 12:30PM MSRI, Atrium Break
11:15AM - 12:30PM MSRI, Simons Auditorium Lecture (Pengzi Miao) [Video available]
12:30PM - 2:00PM MSRI, Simons Auditorium Break
12:30PM - 2:00PM MSRI, Atrium Lunch
2:00PM - 3:15PM MSRI, Atrium Break
2:00PM - 3:15PM MSRI, Simons Auditorium Lecture (Justin Corvino) [Video available]
3:15PM - 3:45PM MSRI, Simons Auditorium Break
3:15PM - 3:45PM MSRI, Atrium Tea
3:45PM - 5:00PM MSRI, Simons Auditorium TA Session
Tuesday, July 10, 2012
9:30AM - 10:45AM MSRI, Simons Auditorium Lecture (Pengzi Miao) [Video available]
10:45AM - 11:15AM MSRI, Simons Auditorium Break
10:45AM - 11:15AM MSRI, Atrium Tea
11:15AM - 12:30PM MSRI, Atrium Break
11:15AM - 12:30PM MSRI, Simons Auditorium Lecture (Justin Corvino) [Video available]
12:30PM - 2:00PM MSRI, Simons Auditorium Break
12:30PM - 2:00PM MSRI, Atrium Lunch
2:00PM - 3:15PM MSRI, Atrium Break
2:00PM - 3:15PM MSRI, Simons Auditorium Lecture (Pengzi Miao) [Video available]
3:15PM - 3:45PM MSRI, Simons Auditorium Break
3:15PM - 3:45PM MSRI, Atrium Tea
3:45PM - 5:00PM MSRI, Simons Auditorium TA Session
Wednesday, July 11, 2012
9:15AM - 10:15AM MSRI, Simons Auditorium Lecture (Pengzi Miao) [Video available]
10:15AM - 10:30AM MSRI, Simons Auditorium Break
10:15AM - 10:30AM MSRI, Atrium Tea
10:30AM - 11:30AM MSRI, Atrium Break
10:30AM - 11:30AM MSRI, Simons Auditorium Lecture (Justin Corvino) [Video available]
11:30AM - 2:00PM MSRI, Simons Auditorium Break
11:30AM - 2:00PM MSRI, Atrium BBQ Lunch at nearby park
2:00PM - 3:15PM MSRI, Atrium Break
2:00PM - 3:15PM MSRI, Simons Auditorium Lecture (Justin Corvino/Pengzi Miao) [Video available]
3:15PM - 3:45PM MSRI, Simons Auditorium Break
3:15PM - 3:45PM MSRI, Atrium Tea
3:45PM - 5:00PM MSRI, Simons Auditorium TA Session
Thursday, July 12, 2012
9:30AM - 10:45AM MSRI, Simons Auditorium Lecture (Justin Corvino) [Video available]
10:45AM - 11:15AM MSRI, Simons Auditorium Break
10:45AM - 11:15AM MSRI, Atrium Tea
11:15AM - 12:30PM MSRI, Atrium Break
11:15AM - 12:30PM MSRI, Simons Auditorium Lecture (Pengzi Miao) [Video available]
12:30PM - 2:00PM MSRI, Atrium Lunch
12:30PM - 2:00PM MSRI, Simons Auditorium Break
2:00PM - 3:15PM MSRI, Simons Auditorium Lecture (Justin Corvino) [Video available]
2:00PM - 3:15PM MSRI, Atrium Break
3:15PM - 3:45PM MSRI, Atrium Tea
3:15PM - 3:45PM MSRI, Simons Auditorium Break
3:45PM - 5:00PM MSRI, Simons Auditorium TA Session
Friday, July 13, 2012
9:30AM - 10:45AM MSRI, Simons Auditorium Lecture (Pengzi Miao) [Video available]
10:45AM - 11:15AM MSRI, Atrium Tea
10:45AM - 11:15AM MSRI, Simons Auditorium Break
11:15AM - 12:30PM MSRI, Simons Auditorium Lecture (Justin Corvino) [Video available]
11:15AM - 12:30PM MSRI, Atrium Break
12:30PM - 2:00PM MSRI, Atrium Lunch
12:30PM - 2:00PM MSRI, Simons Auditorium Break
2:00PM - 3:15PM MSRI, Simons Auditorium Lecture (Pengzi Miao) [Video available]
2:00PM - 3:15PM MSRI, Atrium Break
3:15PM - 3:45PM MSRI, Atrium Tea
3:15PM - 3:45PM MSRI, Simons Auditorium Break
3:45PM - 5:00PM MSRI, Simons Auditorium TA Session
Monday, July 16, 2012
9:30AM - 10:45AM MSRI, Simons Auditorium Lecture (Fernando Schwartz) [Video available]
10:45AM - 11:15AM MSRI, Atrium Tea
10:45AM - 11:15AM MSRI, Simons Auditorium Break
11:15AM - 12:30PM MSRI, Simons Auditorium Lecture (Lan-Hsuan Huang) [Video available]
11:15AM - 12:30PM MSRI, Atrium Break
12:30PM - 2:00PM MSRI, Atrium Lunch
12:30PM - 2:00PM MSRI, Simons Auditorium Break
2:00PM - 3:15PM MSRI, Simons Auditorium Lecture (Justin Corvino) [Video available]
2:00PM - 3:15PM MSRI, Atrium Break
3:15PM - 3:45PM MSRI, Atrium Tea
3:15PM - 3:45PM MSRI, Simons Auditorium Break
3:45PM - 5:00PM MSRI, Simons Auditorium TA Session
Tuesday, July 17, 2012
9:30AM - 10:45AM MSRI, Simons Auditorium Lecture (Fernando Schwartz) [Video available]
10:45AM - 11:15AM MSRI, Atrium Tea
10:45AM - 11:15AM MSRI, Simons Auditorium Break
11:15AM - 12:30PM MSRI, Simons Auditorium Lecture (Lan-Hsuan Huang) [Video available]
11:15AM - 12:30PM MSRI, Atrium Break
12:30PM - 2:00PM MSRI, Atrium Lunch
12:30PM - 2:00PM MSRI, Simons Auditorium Break
2:00PM - 3:15PM MSRI, Simons Auditorium Lecture (Pengzi Miao) [Video available]
2:00PM - 3:15PM MSRI, Atrium Break
3:15PM - 3:45PM MSRI, Atrium Tea
3:15PM - 3:45PM MSRI, Simons Auditorium Break
3:45PM - 5:00PM MSRI, Simons Auditorium TA Session
Wednesday, July 18, 2012
9:30AM - 10:45AM MSRI, Simons Auditorium Lecture (Fernando Schwartz) [Video available]
10:45AM - 11:15AM MSRI, Atrium Tea
10:45AM - 11:15AM MSRI, Simons Auditorium Break
11:15AM - 12:30PM MSRI, Simons Auditorium Lecture (Lan-Hsuan Huang) [Video available]
11:15AM - 12:30PM MSRI, Atrium Break
12:30PM - 2:00PM MSRI, Atrium Lunch
12:30PM - 2:00PM MSRI, Simons Auditorium Break
2:00PM - 3:15PM MSRI, Simons Auditorium Lecture (Justin Corvino) [Video available]
2:00PM - 3:15PM MSRI, Atrium Break
3:15PM - 3:45PM MSRI, Atrium Tea
3:15PM - 3:45PM MSRI, Simons Auditorium Break
3:45PM - 5:00PM MSRI, Simons Auditorium TA Session
Thursday, July 19, 2012
9:30AM - 10:45AM MSRI, Simons Auditorium Lecture (Fernando Schwartz) [Video available]
10:45AM - 11:15AM MSRI, Atrium Tea
10:45AM - 11:15AM MSRI, Simons Auditorium Break
11:15AM - 12:30PM MSRI, Simons Auditorium Lecture (Lan-Hsuan Huang) [Video available]
11:15AM - 12:30PM MSRI, Atrium Break
12:30PM - 2:00PM MSRI, Atrium Lunch
12:30PM - 2:00PM MSRI, Simons Auditorium Break
2:00PM - 3:15PM MSRI, Simons Auditorium Lecture (Pengzi Miao) [Video available]
2:00PM - 3:15PM MSRI, Atrium Break
3:15PM - 3:45PM MSRI, Atrium Tea
3:15PM - 3:45PM MSRI, Simons Auditorium Break
3:45PM - 5:00PM MSRI, Simons Auditorium TA Session
7:05PM - 10:00PM MSRI Oakland A's Baseball Game
Friday, July 20, 2012
9:30AM - 10:45AM MSRI, Simons Auditorium Lecture (Fernando Schwartz) [Video available]
10:45AM - 11:15AM MSRI, Atrium Tea
10:45AM - 11:15AM MSRI, Simons Auditorium Break
11:15AM - 12:30PM MSRI, Simons Auditorium Lecture (Lan-Hsuan Huang) [Video available]
11:15AM - 12:30PM MSRI, Atrium Break
12:30PM - 2:00PM MSRI, Atrium Lunch
12:30PM - 2:00PM MSRI, Simons Auditorium Break
2:00PM - 3:15PM MSRI, Atrium Break
2:00PM - 3:15PM MSRI, Simons Auditorium Lecture (TBA)
3:15PM - 3:45PM MSRI, Simons Auditorium Break
3:15PM - 3:45PM MSRI, Atrium Tea
3:45PM - 5:00PM MSRI, Simons Auditorium Wrap Up (Justin Corvino/Pengzi Miao)
Parent Program(s):
Mathematical General Relativity

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