4 problems

Let $E$ be a genus-one curve, let $\mathcal{H}$ be the universal affine Hecke category, and let … be the canonical map of Corollary. Let $\operatorname{Loc}_{G^\vee}(E)$ denote the…

Let $M$ be a real manifold, let $\pi_M:\mathfrak{X}_M\to M$ be the induced family of curves, and let $s\in M$. Write … where $\widetilde{\mathcal{N}}_{\Pi_M}$ is the universal nilp…

Let $\alpha$ be the functor … constructed from the bubbling family, where $\mathcal{H}^{\mathit{bub},\otimes R}$ is the relevant bubbling Hecke category over $R$. The automorphic g…

Fix a complex reductive group $G$, a smooth complex projective curve $C$, and a finite subset $S\subset C$ equipped with Iwahori-level structure. Let…