4 problems

Let $M$ be a closed affine manifold, and let $\|M\|$ denote its simplicial volume. Simplicial-volume conjecture. The simplicial volume of $M$ vanishes: … This is a stronger form of…

Let $M$ be a closed manifold supporting an affine structure, meaning a closed manifold admitting an atlas whose transition maps are restrictions of affine isomorphisms. Let $\|M\|$…

Vanishing simplicial volume conjecture. If $M$ is a closed manifold supporting an affine structure, then

Let $B$ be a connected affine manifold, with affine structure group $\mathrm{GL}_n(\mathbb{Z})\ltimes H^n$, and let completeness mean that all geodesics on $B$ are parametrised by…