论文标题
汉堡 - 萨尔纳克方法和对古典群体统一双重的操作
The Burger-Sarnak Method and Operations on the Unitary Duals of Classical Groups
论文作者
论文摘要
汉堡 - 萨纳克方法表明，还原群对还原亚组的自动形态表示的限制具有自动形态支持。 Clozel猜想了该结果的定性改进，Venkatesh首先在$ GL_N $ case中对其进行了验证和量化。我们在经典组案件中给出了这种猜想的证明。
The Burger-Sarnak method shows that the restriction of an automorphic representation of a reductive group to a reductive subgroup has automorphic support. Clozel has conjectured a qualitative refinement of this result, which were first verified and quantified in the $GL_n$ case by Venkatesh. We give a proof of this conjecture in the classical group cases.
