6 problems

Let $m$ be a positive integer, let $p$ be an odd prime, and let ${\rm DP}(m)$ denote the relevant set of strict partitions of $m$. Let ${\rm DPR}_p(m)$ denote the indexing set for…

James's conjecture. James's conjecture holds for all weight $5$ blocks of $\hhh$.

Let $G={\mathbf{G}}^F$ for ${\mathbf{G}}$ connected reductive defined over ${\mathbb{F}}_q$. Let $\ell$ be a prime such that Sylow $\ell$-subgroups of $G$ are abelian, and let…

Let $G$ be a finite reductive group with Weyl group $W$, defined over a field of characteristic $p$, and let $k$ be a field of characteristic $ell$ with $ell eq p$. Let $d$ denote…

Geck's conjecture. Assume $\ell$ is odd. There exists a parametrization

Let $W$ be a complex reflection group. Let $\theta:q\mapsto\xi$ be a specialization of ${\mathcal H}_q(W)$, and let…