3 problems

Grothendieck's conjecture on $p$-curvatures. The equation $\mathcal L y=0$ has a full set of algebraic solutions if and only if, for almost all primes $p\in\mathbb Z$, its reductio…

Let ${\mathcal M}=(M,\nabla)$ be a differential module over $\mathbb Q(x)$, let $\operatorname{Gal}({\mathcal M})$ be its generic Galois group, and let $\psi_p$ denote the $p$-curv…

Let … be a differential equation with coefficients in $\mathbb Q(x)$, and let its reduction modulo $p$ be considered for almost all primes $p$. Grothendieck's conjecture on $p$-cur…