Serre's modularity conjecture
GPTKB entity
Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:category |
conjectures that have been proved
|
| gptkbp:concerns |
modular forms
Galois representations |
| gptkbp:field |
gptkb:algebraic_geometry
number theory |
| gptkbp:formedBy |
gptkb:Jean-Pierre_Serre
|
| https://www.w3.org/2000/01/rdf-schema#label |
Serre's modularity conjecture
|
| gptkbp:influencedBy |
gptkb:Taniyama–Shimura–Weil_conjecture
|
| gptkbp:provenBy |
gptkb:Jean-Pierre_Wintenberger
gptkb:Chandrashekhar_Khare |
| gptkbp:relatedTo |
gptkb:Fermat's_Last_Theorem
gptkb:Langlands_program |
| gptkbp:state |
Every odd, irreducible, continuous, two-dimensional mod p Galois representation of the absolute Galois group of the rationals arises from a modular form.
|
| gptkbp:yearProposed |
1973
|
| gptkbp:yearProved |
2008
|
| gptkbp:bfsParent |
gptkb:Jean-Pierre_Serre
|
| gptkbp:bfsLayer |
4
|