5 problems

Characteristic-$p$ universal property conjecture. Under certain conditions, symmetric monoidal functors

Fix an integer $j$, a subgroup $H\subset S_j$, a Lie superalgebra $\mathfrak h$ in $\operatorname{Rep}(S_{t-j})$ of one of the specified kinds, and an action of $H$ on…

For $t\in\mathbb{Z}$, the category $\mathcal{D}_t$ is Karoubian but not abelian. It admits an embedding into $\mathcal{V}_t$ as a full rigid symmetric monoidal subcategory, where…

Let $\delta\in\mathbb{Z}$, let $\underline{\operatorname{Re}}\!\operatorname{p}(GL_\delta)$ denote Deligne's tensor category, and let $K(\delta)$ be the algebra whose category of l…

Fix $d\in\mathbb{Z}_{\geq 0}$. Let $\mathcal{B}_d$ be the nontrivial block in $\underline{\operatorname{Rep}}(S_d;F)$ containing $L(\varnothing)$, and let … be the restriction func…