Zhongkai Tao: An h-principle for general relativistic initial data sets

I will talk about a flexibility result on the Einstein constraint equations. It uses the Bogovskii-type operators introduced in Mao-Oh-Tao and Isett-Mao-Oh-Tao and generalizes the obstruction-free gluing theorem. This is joint work with Jonathan Luk, Yuchen Mao and Sung-Jin Oh.