9 problems

Gaitsgory's conjecture. There is an equivalence of monoidal categories

Let $\mathcal{A}$ be the algebra generated by the elements $R_{\mathbf d}$ over $\mathbb{Z}[q_1^{\pm1},q_2^{\pm1}]$, and specialize its parameters by … Let…

Let $E_{\mathbf{d}^1},\ldots,E_{\mathbf{d}^r}$ be objects of $\operatorname{Tr}(\mathrm{ASBim}_n)$, let $\mathcal{E}_{\mathbf{d}^1},\ldots,\mathcal{E}_{\mathbf{d}^r}$ be the corres…

Let $G$ be a simply-connected reductive algebraic group, let $LG$ be its loop group, and let $C$ be an affine alcove. For each face $I$ of $C$, let $G_I$ be the Levi of the parahor…

Let $(X,\alpha)=(\mathbb P^1,\alpha)$ be the real projective line with antipodal conjugation, let $(G,\theta)$ be a quasi-split real form with $L$-group…

Let $G$ be a complex reductive group, let $E$ be an elliptic curve, and let $\mathcal H_G$ be the affine Hecke category. Let $\mathcal Shv_{\mathcal N}(Bun_G(E))$ denote the catego…

Let $G$ be a simply connected complex reductive group, let $X$ be a smooth complex projective curve, and let $x\in X$. Let $Bun_G(X,x)$ be the moduli stack of $G$-bundles with a…

Let $G$ be a complex reductive group, let $I$ be an Iwahori subgroup, and let $Fl_G$ be the affine flag variety. Let $St_{G^{\vee}}$ be the Steinberg stack. Bimonodromic Betti affi…

Let $G^{\vee}$ be the Langlands dual group and let $\mathcal H_{G^{\vee}}$ be the affine Hecke category. The notation $2\operatorname{Coh}_{\mathcal N}(G^{\vee}/G^{\vee})$ denotes…