geometric Satake equivalence
GPTKB entity
Statements (25)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:describes |
equivalence of categories
|
| gptkbp:equates |
category of representations of the Langlands dual group
category of G(O)-equivariant perverse sheaves on affine Grassmannian |
| gptkbp:establishedBy |
gptkb:Ivan_Mirković
gptkb:Kari_Vilonen |
| gptkbp:field |
gptkb:algebraic_geometry
representation theory geometric representation theory |
| gptkbp:hasApplication |
moduli spaces
categorification of the Satake isomorphism study of automorphic forms |
| https://www.w3.org/2000/01/rdf-schema#label |
geometric Satake equivalence
|
| gptkbp:involves |
gptkb:Tannakian_category
gptkb:affine_Grassmannian reductive algebraic group perverse sheaves |
| gptkbp:relatedTo |
gptkb:Langlands_dual_group
gptkb:Satake_isomorphism |
| gptkbp:usedIn |
gptkb:geometric_Langlands_program
|
| gptkbp:yearProposed |
1990s
|
| gptkbp:bfsParent |
gptkb:Geometric_Langlands_correspondence
gptkb:Geometric_representation_theory gptkb:geometric_Langlands_program |
| gptkbp:bfsLayer |
6
|