Statements (28)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:mathematical_concept
|
gptkbp:alsoKnownAs |
gptkb:Taniyama–Shimura–Weil_conjecture
|
gptkbp:concerns |
modular forms
elliptic curves |
gptkbp:countryOfOrigin |
gptkb:Japan
|
gptkbp:field |
number theory
|
gptkbp:fullProofPublished |
2001
|
https://www.w3.org/2000/01/rdf-schema#label |
Modularity Theorem
|
gptkbp:implies |
gptkb:Fermat's_Last_Theorem
|
gptkbp:importantFor |
central in modern number theory
|
gptkbp:proposedBy |
gptkb:Yutaka_Taniyama
gptkb:André_Weil gptkb:Goro_Shimura |
gptkbp:provenBy |
gptkb:Andrew_Wiles
gptkb:Brian_Conrad gptkb:Christophe_Breuil gptkb:Fred_Diamond Richard Taylor |
gptkbp:publishedIn |
gptkb:Annals_of_Mathematics
|
gptkbp:relatedTo |
gptkb:Langlands_program
automorphic forms Galois representations |
gptkbp:state |
every rational elliptic curve is modular
|
gptkbp:yearProposed |
1955
|
gptkbp:yearProved |
1994
|
gptkbp:bfsParent |
gptkb:Taniyama-Shimura-Weil_Conjecture
gptkb:Wiles'_Theorem |
gptkbp:bfsLayer |
8
|