A GEOMETRIC JACQUET-LANGLANDS TRANSFER FOR AUTOMORPHIC FORMS OF HIGHER WEIGHTS

被引：0
|
作者：
Yu, Jize [1 ]
机构：
[1] Inst Adv Study, Sch Math, 1 Einstein Dr, Princeton, NJ 08540 USA
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2022年 / 375卷 / 10期
关键词：
Geometric Satake equivalence; Hodge type Shimura varieties; Jacquet-Langlands transfer; moduli of local Shtukas;
D O I：
10.1090/tran/8611
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we give a geometric construction of the Jacquet-Langlands transfer for automorphic forms of higher weights. Our method is by studying the geometry of the mod p fibres of Hodge type Shimura varieties which satisfy a mild assumption and the cohomological correspondences between them.
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页码：6843 / 6873
页数：31
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