Statements (51)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:general_linear_group
gptkb:GL(n) |
| gptkbp:concerns |
lifting automorphic representations
extension of number fields |
| gptkbp:field |
number theory
representation theory automorphic forms |
| https://www.w3.org/2000/01/rdf-schema#label |
Base Change for GL(n)
|
| gptkbp:introduced |
gptkb:Robert_Langlands
|
| gptkbp:notableFor |
gptkb:Fermat's_Last_Theorem
gptkb:Serre's_conjecture gptkb:Langlands_correspondence gptkb:Shimura_varieties gptkb:modularity_lifting_theorems gptkb:Sato–Tate_conjecture gptkb:Langlands–Tunnell_theorem base change for Galois representations base change for Hecke algebras base change for Hilbert modular forms base change for L-functions base change for Maass forms base change for Siegel modular forms base change for automorphic induction base change for automorphic representations base change for base field extensions base change for cusp forms base change for cyclic extensions base change for modular forms base change for non-abelian extensions base change for solvable extensions base change for trace formula proof of Artin conjecture for some cases |
| gptkbp:provenBy |
gptkb:Robert_Langlands
gptkb:James_Arthur gptkb:Jean-Pierre_Labesse gptkb:Stephen_Gelbart gptkb:Dorian_Goldfeld gptkb:Laurent_Clozel gptkb:Hervé_Jacquet |
| gptkbp:relatedTo |
gptkb:Langlands_program
gptkb:Artin_reciprocity gptkb:automorphic_L-functions Galois representations functoriality principle cyclic base change solvable base change |
| gptkbp:result |
existence of base change lift
functoriality for cyclic base change |
| gptkbp:bfsParent |
gptkb:Base_Change_for_GL(2)
|
| gptkbp:bfsLayer |
5
|