5 problems

Let $\mathcal B$ and $\mathcal S$ be the canonical and semicanonical bases, let $b_{\mathcal O}\in\mathcal B$ correspond to an orbit $\mathcal O$, and let $f_Z\in\mathcal S$ be ind…

Let $Q$ be a Dynkin quiver obtained by orienting the Dynkin diagram of $\mathfrak g$, let $\operatorname{rep}(Q,{\mathbf V})$ be its representation space, and let $\mathcal O$ be a…

Let $\{f_Y\}$ be the semicanonical basis of $\mathbf U(\mathfrak n)$ dual to the dual semicanonical basis $\{\rho_Y\}$, and let $L_b$ be the perverse sheaf corresponding to a canon…

Let $T$ be a reachable $\mathcal C_w$-maximal rigid module and let $R\in\operatorname{add}(T)$. Let $\Lambda_R$ be the closure of the orbit through $R$, and let $b_R$ be the corres…

Let $\mathscr B(w)$ be the subset of canonical-basis labels associated with $w$, and let $\mathscr B'(w)$ be the subset consisting of labels $b$ for which the singular support…