4 problems

Local constancy conjecture. If $U$ is contractible, then the restriction functor $i_u^*$ is an equivalence. This is the fiberwise formulation of local constancy for the automorphic…

Let $C$ be a smooth projective curve, let $S\subset C$ be a finite subset, and fix an integer $q\geq 2$. Let $\mathbb T$ denote the parameterizing scheme for non-isotrivial familie…

Let $\pi:\mathfrak{X}\to S$ be the family of curves in the paper, let $\operatorname{Bun}_G(\pi_U)$ be the moduli stack of $G$-bundles on the base-changed family over a contractibl…

Viehweg–Zuo conjecture. One has