论文标题
Deligne- lusztig二元性捆绑捆绑
Deligne--Lusztig duality on the moduli stack of bundles
论文作者
论文摘要
让$ bun_g(x)$为平滑的投影曲线上的$ g $ torsors的模量堆栈,用于还原$ g $。我们证明了Drinfeld-Wang和Gaitsgory在$ bun_g(x)$上的D-Modules的deligne-lusztig双重性上做出的猜想。该猜想将Drinfeld-Gaitsgory的伪认证函数与增强的Eisenstein系列和$ DMOD(BUN_G(x))$上的几何常数函数和几何常数函数相关联。我们还证明了这些增强功能子的“第二个伴随性”结果。
Let $Bun_G(X)$ be the moduli stack of $G$-torsors on a smooth projective curve $X$ for a reductive group $G$. We prove a conjecture made by Drinfeld-Wang and Gaitsgory on the Deligne-Lusztig duality for D-modules on $Bun_G(X)$. This conjecture relates Drinfeld-Gaitsgory's pseudo-identity functors to the enhanced Eisenstein series and geometric constant term functors on $DMod(Bun_G(X))$. We also prove a "second adjointness" result for these enhanced functors.