2 problems

Hiraga--Ichino--Ikeda's formal degree conjecture. Suppose that $\pi\in\Pi(\mathbf{G})$ is a discrete series representation whose $L$-parameter is $\phi$. Then

Let $G$ be a connected reductive group over $F$. For a tempered $L$-parameter $\phi$, let $\Pi_\phi(G)$ be its $L$-packet, let $\widetilde{\mathcal{S}}_\phi$ be the associated S-gr…