9 problems

Let $\mathsf{X}_i^{(k)}$ denote the nonclassical divided-power web at position $i$ in $\mathbf{Web}(\mathfrak{so}_{2n+1})$, with $1\leq k\leq n$. Divided-power exchange relation co…

Let $\mathfrak{g}$ be a simply laced simple Lie algebra and let $\tau$ be a diagram automorphism. Let $\mathfrak{g}_\tau$ be the non-simply laced Lie algebra Langlands dual to the…

Let ${\tt X} \in \{{\tt A}_n, {\tt D}_n, {\tt E}_{6,7,8}\}$, and let $\mathcal{A}$ be the data of the zigzag algebra $\bar{Z}({\tt X})$ as described in the paper. Write…

Let $\Bbbk$ be a field, let the Morita equivalence in Theorem be the equivalence associated with the cyclotomic web construction, and let the Morita equivalence in Theorem be the e…

Let $\Bbbk$ be a field, let $\mathpzc{Web}_{\mathbf u}$ be the cyclotomic web category, let $W(\Lambda)$ be the associated $W$-algebra, and let $\widehat\Phi$ be the functor from…

Let $m$ be a positive integer, let $\bLambda_{\text{st}}(m)$ denote the set of objects under consideration, and let $\mathpzc{Web}^\bullet$ be the affine web category. For…

The singular web category under discussion has minimal-degree double ladders, once these are well-defined, and reduced expressions are the corresponding combinatorial expressions.…

Web equivalence conjecture. There is an equivalence of ribbon categories

Let $B$ be a colored, oriented braid, and let $P(B)$ be the invariant of braid conjugacy classes with values in … where $\mathcal{I}$ is the ideal of relations between colored circ…