3 problems

Let $n$ be the boundary dimension, let $\gamma\in(0,\frac{1}{2}]$ with $n>2\gamma$, and let $(\overline{X},\bar{g})$ be a smooth compactification that is not conformally diffeomorp…

Spectral sign-transform inequality conjecture. For $s\in(1,\frac32)$, the analogous inequalities should hold for spectral quadratic forms. The corresponding inequality has been pro…

Fractional Lieb-Thirring coupling conjecture. The optimal constant also satisfies