The Local Langlands Conjecture for G2

被引：2

作者：

Gan, Wee Teck ^{[1
]}

Savin, Gordan ^{[2
]}

机构：

[1] Natl Univ Singapore, Dept Math, 10 Lower Kent Ridge Rd, Singapore 119076, Singapore

[2] Univ Utah, Dept Math, Salt Lake City, UT 84112 USA

来源：

FORUM OF MATHEMATICS PI | 2023年 / 11卷

基金：

美国国家科学基金会;

关键词：

11F27; 11F70; 22E50; SIEGEL-WEIL FORMULA; REPRESENTATIONS; COMPATIBILITY;

D O I：

10.1017/fmp.2023.27

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the local Langlands conjecture for the exceptional group G(2)(F) where F is a non-archimedean local field of characteristic zero.

引用

页数：42

共 50 条

[41] LANGLANDS CONJECTURE ON CONJUGATION OF THE SHIMURA VARIETIES
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[42] A PROOF OF THE G2 CASE OF MACDONALD ROOT SYSTEM-DYSON CONJECTURE
ZEILBERGER, D
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1987, 18 (03) : 880 - 883
[43] OUTLINE OF THE PROOF OF THE GEOMETRIC LANGLANDS CONJECTURE FOR GL2
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ASTERISQUE, 2015, (370) : 1 - 112
[44] A local-global compatibility conjecture in the p-adic Langlands Programme for GL2/Q
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[46] Dade's invariant conjecture for the Chevalley groups of type G2 in the defining characteristic
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[47] Uno's invariant conjecture for Chevalley groups G2(q) in nondefining characteristics
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[48] Dade's inductive conjecture for the ree groups of type G2 in the defining characteristic
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[49] ON THE LOCAL LANGLANDS CONJECTURE FOR GL (N, F) OVER (F)OVER-BAR-L
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[50] The local Langlands conjecture for GL(n) over a p-adic field, n<p
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Inventiones mathematicae, 1998, 134 : 177 - 210

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