p-adic local Langlands correspondence for GL(2, Q p)
GPTKB entity
Statements (26)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:logic
|
| gptkbp:developedBy |
gptkb:Laurent_Berger
gptkb:Matthew_Emerton gptkb:Gabriel_Dospinescu gptkb:Pierre_Colmez Vytautas Paškūnas |
| gptkbp:field |
number theory
representation theory p-adic Hodge theory |
| gptkbp:firstMajorResult |
Colmez's functor
|
| gptkbp:focusesOn |
GL(2, Q_p)
|
| gptkbp:generalizes |
classical local Langlands correspondence
|
| https://www.w3.org/2000/01/rdf-schema#label |
p-adic local Langlands correspondence for GL(2, Q p)
|
| gptkbp:mainActivity |
gptkb:modularity_lifting_theorems
gptkb:p-adic_Galois_representations p-adic automorphic forms |
| gptkbp:notableAchievement |
Colmez correspondence for GL(2, Q_p)
|
| gptkbp:openProblem |
generalization to GL(n, Q_p) for n > 2
|
| gptkbp:relatedTo |
p-adic Banach space representations
(phi, Gamma)-modules mod p local Langlands correspondence p-adic representations of Galois groups representations of GL(2, Q_p) |
| gptkbp:status |
partially established
|
| gptkbp:bfsParent |
gptkb:p-adic_Langlands_program
|
| gptkbp:bfsLayer |
6
|