2 problems

The bilinear restriction conjecture. These necessary conditions are sharp. The conjecture is still open except in dimension two, and, up to endpoints, it is equivalent to the usual…

Let $S_1$ and $S_2$ be compact smooth $(d-1)$-dimensional submanifolds of $\mathbb{R}^d$, with induced measures $d\sigma_1$ and $d\sigma_2$. They are transversal if the wedge produ…