标题： 重ductive 群和中心复形的函子转移 显示英文标题

标题： Functorial transfer for reductive groups and central complexes

摘要： 一类关于环面的 Weyl 群等变的$\ell$-进复形，称为中心复形，在我们之前关于 Braverman-Kazhdan 猜想的工作中被引入并研究。 在这篇短文中，我们证明了中心复形范畴对于偶群之间的态射存在函子性的单态转移。 结合 Bezrukavnikov-Deshpande 的工作，我们证明了约化群上的$\ell$-进双 Whittaker 范畴（相应的消失复形范畴、稳定复形范畴）存在函子性转移。 作为应用，我们给出了 Laumon-Letellier 关于有限约化群上稳定函数转移映射公式的一个新的几何证明。 显示英文摘要

摘要： A class of Weyl group equivariant $\ell$-adic complexes on a torus, called the central complexes, was introduced and studied in our previous work on Braverman-Kazhdan conjecture. In this note we show that the category of central complexes admits functorial monoidal transfers with respect to morphisms between the dual groups. Combining with the work of Bezrukavnikov-Deshpande, we show that the $\ell$-adic bi-Whittaker categories (resp. the category of vanishing complexes, the category of stable complexes) on reductive groups admit functorial transfers. As an application, we give a new geometric proof of Laumon-Letellier's fromula for transfer maps of stable functions on finite reductive groups.