3 problems

Radical-layer multiplicity conjecture. The multiplicity is ${n\choose i}$ for every radical layer. In particular, the Ext-quiver of $\mathscr{D}_F(\mathbb{B}_n)$ is a single vertex…

Let $Q$ be a quiver, let $W$ be its Weyl group, let $\Pi$ be the associated preprojective algebra, and for $w\in W$ let $I_w$ be the corresponding ideal. For a full subcategory…

Ext¹-quiver conjecture. This equality should hold for every even $r$ and every $p$.