p-adic Langlands program

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf mathematical research program
gptkbp:appliesTo modular forms
automorphic forms
p-adic Hodge theory
gptkbp:field number theory
representation theory
gptkbp:focusesOn Galois representations
p-adic groups
p-adic representations
gptkbp:goal generalize the classical Langlands correspondence to p-adic settings
https://www.w3.org/2000/01/rdf-schema#label p-adic Langlands program
gptkbp:notableAchievement gptkb:p-adic_local_Langlands_correspondence_for_GL(2,_Q_p)
gptkbp:notablePerson gptkb:Jean-Marc_Fontaine
gptkb:Mark_Kisin
gptkb:Matthew_Emerton
gptkb:Pierre_Colmez
gptkb:Laurent_Fargues
gptkbp:originatedIn early 2000s
gptkbp:relatedTo gptkb:Langlands_program
gptkbp:studies deformation theory of Galois representations
p-adic Banach space representations
gptkbp:bfsParent gptkb:Perfectoid_Spaces
gptkbp:bfsLayer 5