4 problems

Trinh–Xue's conjecture. There exists a choice of complete HC-parametrisation $\Psi=\{\Psi_{{\mathbf L},\lambda}\}$ such that, for every such pair $({\mathbf L},\lambda)$ and…

Let $t$ be a non-negative integer, set $r=t(t+1)/2$ and $\iota=r\pmod 2$, and let $\widetilde{\mathcal{G}}_{\iota,q,\ell}^{t,\leq d}$ be the induced subgraph of the reindexed Haris…

Let $G$ be the finite unitary group, and let $kG$ and $KG$ denote the modular and ordinary group algebras. A unipotent $kG$-module is weakly cuspidal when it does not occur through…

Let $G$ be the finite unitary group and let $X_\mu,X_\nu$ be the unipotent $kG$-modules labelled by partitions $\mu,\nu\in\mathcal{P}_n$, while $Y_\mu,Y_\nu$ are the corresponding…