5 problems

Beilinson–Cheeger–Chern class conjecture. For all $p \geq 1$ and $n \in {\mathbb N} \cup\{\infty\}$,

Let $X$ be a smooth complex quasi-projective variety with base point $x$, and let … be Lie irreducible with quasi-unipotent monodromy at infinity. Let $(V_\rho,\nabla_\rho)$ be the…

Let $X$ be a smooth complex quasi-projective variety and let $\mathbb V$ be a local system of geometric origin on $X$. Let $(V,\nabla)$ be the associated algebraic flat vector bund…

Let $X$ be a smooth complex quasi-projective variety with base point $x$, and let … be a properly rigid representation with quasi-unipotent monodromy at infinity. Let…

Let $M$ be a closed oriented aspherical manifold. Its tangent bundle is denoted by $TM$, and a flat structure on $TM$ means that it is induced by a representation of the fundamenta…