Statements (29)
| 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
|
| https://www.w3.org/2000/01/rdf-schema#label |
modularity theorem
|
| gptkbp:influencedBy |
gptkb:Weil_conjectures
|
| 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
gptkb:Serre's_conjecture Galois representations |
| gptkbp:significance |
major result in arithmetic geometry
|
| gptkbp:state |
every rational elliptic curve is modular
|
| gptkbp:usedIn |
gptkb:Fermat's_Last_Theorem
|
| gptkbp:yearProposed |
1955
|
| gptkbp:yearProved |
1994
|
| gptkbp:bfsParent |
gptkb:Modular_L-function
gptkb:Langlands_correspondence gptkb:Hasse–Weil_conjecture |
| gptkbp:bfsLayer |
5
|