5 problems

Rigidity conjecture. Either $T=0$ or $S=0$.

Equidistribution conjecture. For every generic $H$, one has

Asymptotic empirical-current conjecture. The total variation measures $\lVert T^{(r)}\rVert$ converge to $\mu_E$ in the weak$^*$ topology of measures supported on $E$. Moreover, if…

Let $X$ be a smooth ambient space and let $Z(f)\subset X$ be the zero locus of $f$. Model chains on $Z(f)$ using currents on $X$, and call a current smooth when it is represented b…

Let $X$ be a smooth space, let $\boldsymbol{Z}(f)$ be the derived zero locus associated to $f$, let $d4aa^f_{\Lambda}$ denote the microlocal homology object associated to…