3 problems

Associated-connection conjecture. The connection $\eta$ can be seen as an associated connection to a principal connection on $(\hat{P}, M, \pi_{\hat{P}, M}, \operatorname{Aut}(G))$…

Let $X$ be a smooth quasi-projective variety over $\mathbb C$, and let $(E,\nabla)$ be an integrable algebraic connection. Choose a finite-type scheme $S$ over $\mathbb Z$ over whi…

Let $G$ be a simple complex group with Lie algebra $\operatorname{\mathfrak{g}}$. Fix a Coxeter $G$-formal type $\mathscr{A}$ of slope $r/h$ with $\gcd(r,h)=1$. A nilpotent orbit t…