4 problems

Let $G$ be the reductive group, let $b\in G(\breve{F})$ and let $\mu$ be a cocharacter, with associated affine Deligne–Lusztig variety $X^{\mathcal{K}_p}_\mu(b)$. Write…

Zhou's conjecture. If $(\lambda,b)$ is Hodge–Newton irreducible, then $\eta_G$ induces a bijection

Let $(\widetilde{G^*},A^*,G^*)$ be in Situation $(0)$, and let $B$ be the parameter set used to define the connected components. Suppose … Let $H$ be a $B$-invariant subgroup of…

Connected-component inclusion conjecture. Then