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Caltech

Caltech/UCLA Analysis Seminar (1/2)

Friday, October 9, 2026
2:00pm to 3:00pm
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Linde Hall 310
An H-Principle for General Relativistic Initial Data Sets
Sung-Jin Oh, Associate Professor, Department of Mathematics, UC Berkeley,

I will discuss a new flexibility result for the Einstein constraint equations, which may be interpreted as an analogue of the Nash-Kuiper theory for isometric embeddings. As an application, we generalize smooth obstruction-free gluing theorems of Czimek-Rodnianski (later sharpened by Mao-Oh-Tao). This is joint work with Jonathan Luk, Yuchen Mao, and Zhongkai Tao.

For more information, please contact the Mathematics Department by email at [email protected].