5 problems

Let $\mathcal{H} eis:= \mathcal{H} eis_{-1}(0)$ be Khovanov's Heisenberg category, and let its Karoubi envelope be its idempotent completion. Khovanov's categorification conjecture…

The diagrammatic category is defined for a given group by a collection of relations, and some relations have been proved using direct constructions of the corresponding morphisms.…

Let $W$ be the Coxeter group, let $s\in S$, and let $\underline{w}$ and $\underline{w'}$ be reduced expressions, each ending in $s$. A rex move is a morphism between reduced expres…

Let the diagrammatic category and its representation functor be as in the paper. The kernel is understood as a pivotal category ideal, and the elements described in Theorems…

The paper constructs a diagrammatic category of diagrams with specified relations, together with a functor from this category to the representation theory of $U_q(\mathfrak{sl}_n)$…