2 problems

Spectral-automorphic intertwiner conjecture. Under the relative Langlands equivalences, $I_{\mathrm{aut}}$ is equivalent to the spectral push-pull functor $I_{\mathrm{spec}}$ along

Let ${\mathfrak{f}}=\overline{\mathbb{F}}_p((t))$ and ${\mathfrak{o}}=\overline{\mathbb{F}}_p[[t]]$. Let $G$, $X$, and $Y$ be the group and the two $G$-spaces described above, and…