5 problems

Gorsky–Oblomkov–Rasmussen conjecture. The stable Khovanov homology $\operatorname{Kh}(T(n,\infty))$ is the dual to the homology of the Koszul complex associated to the sequence…

Let $S_n$ be the symmetric group, let $R$ be the polynomial ring used to define the complexes $K_r$, and let $\mathcal{A}_w$ be the dg algebra whose modules are being considered. F…

Let $R$ be a Cohen–Macaulay ring, let $\mathfrak a\subseteq I$ be ideals, and write … Assume that $J$ is an algebraic $s$-residual intersection. The Kitt ideal…

Let $R$ be a Cohen–Macaulay local ring of dimension $d$, let $I$ be an ideal satisfying sliding depth, and let $s$ be the residual-intersection parameter. An algebraic $s$-residual…

The generation conjecture. The homology of $d_N$ is generated as an algebra by $x_k$ and $mu_k$. This gives a proposed algebraic description of stable $\operatorname{sl}_N$-homolog…