5 problems

Let $A$ be an alcove in the space of real stabilities, and let $\mathcal{E}(A)$ be the set of joint eigenlines for quantum multiplication by equivariant cohomology classes of $Y$ o…

Let $\ell$ be a prime and let $G=\mathbb{G}(q)$ be a finite group of Lie type, where $p\ne\ell$ and $q$ is a power of $p$. Let $D\in\operatorname{Syl}_{\ell}(G)$, let…

Let $C$ be the cohomology complex associated with the relevant Deligne–Lusztig variety, and let $\mathcal{S}_{B_0(H)}$ denote the simple-module indexing set for the local principal…

Let $B$ be a unipotent block of $kG$ with cyclic defect groups, and let $B'$ be its Brauer correspondent. Let $\pi_{\kappa/d}$ be the perversity function defined from the generic d…

Let $\chi_1,\dots,\chi_s$ be the unipotent ordinary characters in a unipotent $\ell$-block $B$ of $kG$ with abelian defect group. Let $B'$ be the Brauer correspondent of $B$, and l…