标题： 内窥镜对于乘法仿射Hecke范畴 显示英文标题

标题： Endoscopy for metaplectic affine Hecke categories

摘要： 对于可能扭曲的环路群$LG$和其Iwahori子群的任何特征层，我们将相关的仿射Hecke范畴与Soergel双模的组合范畴相联系。事实上，我们证明了这些结果适用于由环路群$LG$的中心扩张所得到的仿射Hecke范畴。我们的结果适用于模$\ell$或整数$\ell$-adic 系数。作为应用，我们得到了仿射Hecke范畴之间的内插等价，包括元正则群的导出Satake等价，以及Gaitsgory在量子几何Langlands中的系列猜想。 显示英文摘要

摘要： For a possibly twisted loop group $LG$, and any character sheaf of its Iwahori subgroup, we identify the associated affine Hecke category with a combinatorial category of Soergel bimodules. In fact, we prove such results for affine Hecke categories arising from central extensions of the loop group $LG$. Our results work for mod $\ell$ or integral $\ell$-adic coefficients. As applications, we obtain endoscopic equivalences between affine Hecke categories, including the derived Satake equivalence for metaplectic groups, and a series of conjectures by Gaitsgory in quantum geometric Langlands.