6 problems

Let $X$ be a ribbon, let $\delta=-\deg({\mathscr N})$, and let $\bar{g}$ be the genus of $X_{\mathrm{red}}$. The large-nilradical component conjecture. If … then the only irreducib…

Let $X$ be a ribbon, let $r$ be a positive integer, and let $\delta=-\deg({\mathscr N})$, where ${\mathscr N}$ is the conormal sheaf of $X_{\mathrm{red}}$ in $X$. Fix the generaliz…

Let $X$ be a ribbon and let ${\mathscr F}$ be a pure sheaf on $X$ that is not a generalized vector bundle. A sheaf generizes to another sheaf if it occurs as a special fiber of a f…

Let $\mathcal{R}((a+1)^n a^m)$ be the poset of ribbons whose row lengths consist of $n$ copies of $a+1$ and $m$ copies of $a$, ordered by Schur-positivity. Unique-minimal-element c…

Let $\mathcal{R}((a+1)^n a^m)$ be the poset of ribbons whose row lengths consist of $n$ copies of $a+1$ and $m$ copies of $a$, ordered by Schur-positivity. Let $P_{R,S}$ denote the…

Let $N$ be fixed, let $\lambda\vdash N$, and consider the subposet of $\mathcal{P}_{N}$ consisting of ribbons $R$ whose row partition is $\operatorname{rows}(R)=\lambda$. For a rib…