7 problems

Let $\Catgeomdk$ be the geometric category defined in the surrounding text, let $\Pervsmkb$ be the stated target category, and let $\ConvHecke$ be the functor constructed there. Co…

Let $\Catgeom$ be the abelian category of objects equipped with compatible Hecke isomorphisms, and call an object finitely generated if it admits a surjection from an object of the…

Categorical p-half-twist conjecture. For any $w$ in the $p$-cell $\lambda$,

Categorical half-twist conjecture. If $w$ lies in the cell $\lambda$, then

Let $G$ be the reductive group underlying the spherical Hecke category, and let … be the bubbling spherical Hecke category, equipped with its monoidal structure. The E3-structure c…

Let $(W,S)$ be a two-colored realization over a field $\Bbbk$, with colors $s$ and $t$, and let $JW_{n_s}$ and $JW_{n_t}$ denote the corresponding Jones-Wenzl projectors. Write…

Let $G$ be a connected reductive algebraic group over an algebraically closed field $\Bbbk$ of characteristic $p$ strictly bigger than the Coxeter number of $G$. Let…