finite-dimensional Galois representations
GPTKB entity
Statements (36)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:arise_from |
modular forms
elliptic curves motives cohomology of algebraic varieties torsion points of abelian varieties |
| gptkbp:canBe |
continuous
irreducible reducible |
| gptkbp:codomain |
general linear group GL_n over a field
|
| gptkbp:coefficients_in |
complex numbers
finite fields p-adic fields |
| gptkbp:describes |
homomorphisms from Galois groups to general linear groups
|
| gptkbp:dimensions |
finite
|
| gptkbp:domain |
absolute Galois group of a field
|
| gptkbp:field |
algebraic number theory
representation theory |
| https://www.w3.org/2000/01/rdf-schema#label |
finite-dimensional Galois representations
|
| gptkbp:importantFor |
number theory
arithmetic geometry |
| gptkbp:relatedTo |
gptkb:étale_cohomology
modular forms automorphic forms motives l-adic representations |
| gptkbp:studiedBy |
gptkb:Andrew_Wiles
gptkb:Jean-Pierre_Serre gptkb:Pierre_Deligne Richard Taylor |
| gptkbp:used_in |
gptkb:Langlands_program
gptkb:modularity_theorem proof of Fermat's Last Theorem study of arithmetic properties of fields |
| gptkbp:bfsParent |
gptkb:Artin_L-function
|
| gptkbp:bfsLayer |
5
|