AI 中文总结
该研究在非阿基米德局部域上,结合相关假设完成了Braverman-Kazhdan-Ngô纲领,且该纲领对一般线性群可无条件成立。
AI 中文摘要
在非阿基米德局部域上,我们结合 tempered 表示的局部朗兰兹猜想以及非超尖点离散级数的γ-因子的一个自然假设,完成了 Braverman-Kazhdan-Ngô 纲领。特别地,该纲领对一般线性群可无条件成立。
英文摘要
We complete the Braverman-Kazhdan-Ngô program over non-Archimedean local fields assuming local Langlands conjecture for tempered representations and a natural assumption on the $γ$-factors of non-supercuspidal discrete series. In particular, the program is complete unconditionally for general linear groups over non-Archimedean local fields.
Comments66 pages. Fix minor typos fixed. Strengthen results in section 6