Riemann–Hilbert correspondence for D-modules

URI: https://gptkb.org/entity/Riemann–Hilbert_correspondence_for_D-modules
GPTKB entity
Statements (26)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_correspondence
gptkbp:appliesTo complex algebraic varieties
analytic manifolds
gptkbp:categoryEquivalence regular holonomic D-modules and perverse sheaves
gptkbp:developedBy gptkb:Masaki_Kashiwara
gptkb:Zoghman_Mebkhout
gptkbp:establishesEquivalenceBetween category of perverse sheaves
category of regular holonomic D-modules
gptkbp:field gptkb:partial_differential_equations
gptkb:algebraic_geometry
representation theory
gptkbp:generalizes classical Riemann–Hilbert problem
gptkbp:importantFor microlocal analysis
theory of linear differential equations
gptkbp:introducedIn 1970s
gptkbp:namedAfter gptkb:David_Hilbert
gptkb:Bernhard_Riemann
gptkbp:relatedTo gptkb:D-modules
local systems
constructible sheaves
regular holonomic D-modules
gptkbp:usedIn gptkb:Hodge_theory
geometric representation theory
gptkbp:bfsParent gptkb:Masaki_Kashiwara
gptkbp:bfsLayer 8
https://www.w3.org/2000/01/rdf-schema#label Riemann–Hilbert correspondence for D-modules