Langlands base change for GL (2)

被引：5
作者：
Dieulefait, Luis [1 ]
机构：
[1] Univ Barcelona, Barcelona, Spain
来源：
ANNALS OF MATHEMATICS | 2012年 / 176卷 / 02期
关键词：
SERRES CONJECTURE; REPRESENTATIONS;
D O I：
10.4007/annals.2012.176.2.7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let F be a totally real Galois number field. We prove the existence of base change relative to the extension F/Q for every holomorphic newform of weight at least 2 and odd level, under simple local assumptions on the field F.
引用
收藏
页码：1015 / 1038
页数：24
相关论文
共 50 条
  • [41] Affine Yangian of gl(2) and integrable structures of superconformal field theory
    Chistyakova, Elizaveta
    Litvinov, Alexey
    Orlov, Pavel
    JOURNAL OF HIGH ENERGY PHYSICS, 2022, (03):
  • [42] The effective Shafarevich conjecture for abelian varieties of GL2-type
    von Kanel, Rafael
    FORUM OF MATHEMATICS SIGMA, 2021, 9
  • [43] On the degenerate Whittaker space for GL4(o2)
    Parashar, Ankita
    Patel, Shiv Prakash
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2025, 229 (05)
  • [44] Companion points and locally analytic socle for GL2(L)
    Ding, Yiwen
    ISRAEL JOURNAL OF MATHEMATICS, 2019, 231 (01) : 47 - 122
  • [45] Irregular loci in the Emerton-Gee stack for GL2
    Bellovin, Rebecca
    Borade, Neelima
    Hilado, Anton
    Kansal, Kalyani
    Lee, Heejong
    Levin, Brandon
    Savitt, David
    Wiersema, Hanneke
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2024, 2024 (814): : 9 - 46
  • [46] EISENSTEIN SERIES AND THE TRACE FORMULA FOR GL(2) OVER A FUNCTION FIELD
    Flicker, Yuval Z.
    DOCUMENTA MATHEMATICA, 2014, 19 : 1 - 62
  • [47] Modularity of GL2(Fp)-representations over CM fields
    Allen, Patrick B.
    Khare, Chandrashekhar
    Thorne, Jack A.
    CAMBRIDGE JOURNAL OF MATHEMATICS, 2023, 11 (01) : 1 - 158
  • [48] On the universal mod p supersingular quotients for GL2(F) over (F)over-barp for a general F/Qp
    Hendel, Yotam I.
    JOURNAL OF ALGEBRA, 2019, 519 : 1 - 38
  • [49] A BOUND FOR THE CONDUCTOR OF AN OPEN SUBGROUP OF GL2 ASSOCIATED TO AN ELLIPTIC CURVE
    Jones, Nathan
    PACIFIC JOURNAL OF MATHEMATICS, 2020, 308 (02) : 307 - 331
  • [50] Residues of Intertwining Operators for U(3,3) and Base Change
    Cai, Li
    Xu, Bin
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2015, 2015 (12) : 4064 - 4096
12345