Statements (61)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:item
|
| gptkbp:are_classified_by |
Galois representations
|
| gptkbp:are_defined_in |
the context of algebraic geometry
|
| gptkbp:are_defined_over |
number fields
|
| gptkbp:are_part_of |
arithmetic geometry
|
| gptkbp:associated_with |
L-functions
|
| gptkbp:constructed_in |
Galois representations
symmetric spaces period domains |
| gptkbp:example |
complex manifolds
higher-dimensional varieties complex algebraic varieties symmetric varieties arithmetic varieties |
| gptkbp:exhibits |
symmetries
|
| gptkbp:generalize |
moduli spaces
|
| gptkbp:has_applications_in |
gptkb:string_theory
mathematical physics arithmetic geometry |
| gptkbp:has_connection_to |
gptkb:Lie_groups
moduli problems |
| gptkbp:has_intersections_with |
moduli of abelian varieties
|
| gptkbp:has_property |
complex structures
|
| gptkbp:has_role |
Langlands program
|
| https://www.w3.org/2000/01/rdf-schema#label |
Shimura varieties
|
| gptkbp:is_analyzed_in |
cohomology theories
spectral sequences the arithmetic of elliptic curves |
| gptkbp:is_characterized_by |
certain data
|
| gptkbp:is_connected_to |
modular forms
Hodge structures automorphic representations Taniyama-Shimura conjecture automorphic forms over function fields |
| gptkbp:is_described_as |
special values of L-functions
|
| gptkbp:is_explored_in |
the Langlands correspondence
|
| gptkbp:is_related_to |
gptkb:Riemann_surfaces
modular forms of higher weight Hecke algebras modular forms of level N the theory of modular forms. |
| gptkbp:is_represented_in |
algebraic cycles
moduli stacks |
| gptkbp:is_studied_for |
Galois groups
|
| gptkbp:is_studied_in |
gptkb:Mathematician
Hodge theory number theory representation theory algebraic topology algebraic number theory theory of motives |
| gptkbp:is_used_in |
gptkb:crypt
|
| gptkbp:named_after |
gptkb:Goro_Shimura
|
| gptkbp:related_to |
algebraic geometry
number theory |
| gptkbp:used_in |
automorphic forms
|
| gptkbp:bfsParent |
gptkb:Shimura-Taniyama_conjecture
gptkb:Automorphic_forms gptkb:Masako_Shimura gptkb:Toshio_Shimura |
| gptkbp:bfsLayer |
6
|