Ribet's Theorem

GPTKB entity

Statements (14)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:alsoKnownAs Epsilon conjecture
gptkbp:field gptkb:Number_theory
https://www.w3.org/2000/01/rdf-schema#label Ribet's Theorem
gptkbp:implies Fermat's Last Theorem follows from the modularity theorem for semistable elliptic curves
gptkbp:importantFor Key step in the proof of Fermat's Last Theorem
gptkbp:provenBy gptkb:Ken_Ribet
gptkbp:publishedIn gptkb:Annals_of_Mathematics
gptkbp:relatedTo gptkb:Taniyama–Shimura_conjecture
gptkb:Fermat's_Last_Theorem
gptkbp:state If a semistable elliptic curve is not modular, then there exists a non-modular Galois representation attached to a modular form of weight 2
gptkbp:yearProved 1986
gptkbp:bfsParent gptkb:Großer_Fermatscher_Satz
gptkbp:bfsLayer 6