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Mathematical General Relativity: Evolutionary and Causal Aspects
09:40-11:40, every Monday
Room 505, Cosmology Building, NTU

Willie Wai-Yeung Wong (Michigan State University)

Yng-Ing Lee (National Taiwan University & NCTS)
Mao-Pei Tsui (National Taiwan University)
Nan-Kuo Ho (National Tsing Hua University)

**11/20, no lecture**


1. Background & Purposes

General Relativity models space-time by a Lorentzian manifold, whose metric evolves nonlinearly. Analysis of its solutions necessarily combines methods from both geometry and partial differential equations. In recent years this point of view has seen much success also in the study of other geometric wave equations. This course will expose students to many (though necessarily only a sample) of the ideas in mathematical relativity, with focus more on geometric aspects. The lecturer anticipates opening a course in the spring focusing on more analytic aspects of the theory.


2. Outline & Descriptions

Below is a tentative, chronological list of topics to be covered:

1. "What is General Relativity"?

2. Geodesics in GR (compared and contrasted with Riemannian geometry)

3. Geometry of null curves and null hypersurfaces

4. Causal structure

5. The Hawking-Penrose singularity theorems

6. A primer on Black Holes

7. The initial value problem and the wave-like nature of GR

**Time permitting, some rigidity results in GR will also be discussed.



3. Registration




4. Online Meeting Link


Meeting number (access code): 2516 835 6896
Meeting password: PgtsRQMA756



5. Course Video




6. Course Note

*Already sent to the participants, please contact Murphy <murphyyu@ncts.tw> if you need any assistance.



Contact: Murphy Yu: murphyyu@ncts.tw

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