4 problems

Generalization conjecture. The geometric description obtained up to triple points should generalize to any kind of semistable singularity via a thorough combinatorial study of the…

Let $Y$ be a scheme over $\mathbb Z$, and let $\{(Y_p,{\mathscr G}_p)\}$ be a family arising from a fixed constructible complex and morphisms as in the setup. Suppose $Y$ is an alg…

Border-splitting conjecture. Every missing facet $\delta$ in the classification can be split into two pieces $\phi$ and $\tau$ satisfying the definition of a border, with $\phi$ an…

Let $F$ be a field, let $G$ be a split reductive $F$-group, and let $g$ be an element for which the slope morphism … is defined. Split maximal torus conjecture. The image of…