A simplified proof of Serre's conjecture

被引：0
|
作者：
Dieulefait, Luis Victor [1 ]
Pacetti, Ariel Martin [2 ]
机构：
[1] Univ Barcelona, Dept Matemat & Informat, Fac Matemat & Informat, Gran Via Corts Catalanes 585, Barcelona 08007, Spain
[2] Univ Aveiro, Ctr Res & Dev Math & Applicat CIDMA, Dept Math, P-3810193 Aveiro, Portugal
来源：
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2023年 / 117卷 / 04期
关键词：
Serre's conjecture; MODULAR-REPRESENTATIONS; GALOIS REPRESENTATIONS; FAMILIES;
D O I：
10.1007/s13398-023-01478-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The purpose of the present article is to present a simplified proof of Serre's modularity conjecture using the strong modularity lifting results currently available.
引用
收藏
页数：17
相关论文
共 50 条
  • [1] A simplified proof of Serre’s conjecture
    Luis Victor Dieulefait
    Ariel Martín Pacetti
    [J]. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2023, 117
  • [2] Serre's conjecture
    Edixhoven, B
    [J]. MODULAR FORMS AND FERMAT'S LAST THEOREM, 1997, : 209 - 242
  • [3] Serre's Modularity Conjecture
    Khare, Chandrashekhar
    Wintenberger, Jean-Pierre
    [J]. PROCEEDINGS OF THE INTERNATIONAL CONGRESS OF MATHEMATICIANS, VOL II: INVITED LECTURES, 2010, : 280 - 293
  • [4] A simplified Proof of the Hopf Conjecture
    Sabatini, Luca
    [J]. ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2024, 32 (01): : 265 - 270
  • [5] Serre’s conjecture and its consequences
    Chandrashekhar Khare
    [J]. Japanese Journal of Mathematics, 2010, 5 : 103 - 125
  • [6] Remarks on Serre's modularity conjecture
    Dieulefait, Luis
    [J]. MANUSCRIPTA MATHEMATICA, 2012, 139 (1-2) : 71 - 89
  • [7] Serre’s modularity conjecture (I)
    Chandrashekhar Khare
    Jean-Pierre Wintenberger
    [J]. Inventiones mathematicae, 2009, 178 : 485 - 504
  • [8] Serre's modularity conjecture (I)
    Khare, Chandrashekhar
    Wintenberger, Jean-Pierre
    [J]. INVENTIONES MATHEMATICAE, 2009, 178 (03) : 485 - 504
  • [9] An elementary case of Serre's conjecture
    Rohrlich, DE
    Tunnell, JB
    [J]. PACIFIC JOURNAL OF MATHEMATICS, 1997, : 299 - 309
  • [10] Serre's conjecture and its consequences?
    Khare, Chandrashekhar
    [J]. JAPANESE JOURNAL OF MATHEMATICS, 2010, 5 (01): : 103 - 125
12345