局部场上具有抛物结构的$${\mathbb {P}}^1$$ p1上$$PGL_2$$ P G L 2的解析朗兰对应

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS ACS Applied Bio Materials Pub Date : 2022-05-18 DOI:10.1007/s00039-022-00603-w

Pavel Etingof, Edward Frenkel, David Kazhdan

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引用次数: 0

摘要

根据朗兰兹的建议和特施纳的工作，我们继续发展我们早期论文中提出的局部场曲线的解析朗兰兹程序。也就是说，我们研究了我们在那些论文中引入的Hecke算子，对于群$PGL_2$在有限多点处具有抛物结构的射影线。我们在这个案例中建立了大部分的猜想。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Analytic Langlands correspondence for $$PGL_2$$ P G L 2 on $${\mathbb {P}}^1$$ P 1 with parabolic structures over local fields

We continue to develop the analytic Langlands program for curves over local fields initiated in our earlier papers, following a suggestion of Langlands and a work of Teschner. Namely, we study the Hecke operators which we introduced in those papers in the case of a projective line with parabolic structures at finitely many points for the group $PGL_2$. We establish most of our conjectures in this case.

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来源期刊

ACS Applied Bio Materials Chemistry-Chemistry (all)

CiteScore

9.40

自引率

2.10%

发文量

464