Terence Tao: Just a brief announcement that I have been working with Quanta Books to publish a short book in popular mathematics entitled “Six Math Essentials“, which will cover six of the fundamental concepts in mathematics.
A simple proof of the Gaussian correlation
conjecture extended to multivariate gamma
distributions by Thomas Royen: https://arxiv.org/pdf/1408.1028.pdf
The video mentions that physicists are looking for the "ripples" (gravitational waves) that would prove inflation, and while they haven't found them yet, they seem to be getting closer to detecting them.