Statements (61)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:item
|
| gptkbp:arise_from |
Group theory
|
| gptkbp:associated_with |
L-functions
|
| gptkbp:defined_on |
Symmetric spaces
|
| gptkbp:exhibits |
Symmetry properties
|
| gptkbp:has_applications_in |
gptkb:crypt
gptkb:Physics |
| gptkbp:has_role |
Arithmetic geometry
|
| https://www.w3.org/2000/01/rdf-schema#label |
Automorphic forms
|
| gptkbp:is_characterized_by |
Fourier coefficients
|
| gptkbp:is_connected_to |
gptkb:Modular_forms
Hecke algebras Langlands duality Automorphic representations |
| gptkbp:is_involved_in |
gptkb:Riemann_hypothesis
gptkb:quantum_field_theory gptkb:Shimura_varieties gptkb:Birch_and_Swinnerton-Dyer_conjecture Mathematical physics String theory Hodge theory Homological algebra Rational points Galois cohomology Topological field theory Derived categories D-modules Noncommutative geometry Geometric representation theory Modularity theorem Perverse sheaves Arithmetic of elliptic curves Arithmetic topology Tate conjecture Cohomology of arithmetic groups Non-abelian class field theory Algebraic cycles Arithmetic geometry of moduli spaces Geometric Langlands program Langlands correspondence Motivic cohomology Motivic homotopy theory Number theoretic conjectures |
| gptkbp:is_related_to |
Galois representations
|
| gptkbp:is_represented_in |
Infinite series
Integrals Automorphic integrals |
| gptkbp:is_standardized_by |
gptkb:Elliptic_curves
|
| gptkbp:is_studied_in |
Algebraic geometry
Representation theory of p-adic groups |
| gptkbp:is_used_in |
Theoretical physics
|
| gptkbp:related_to |
gptkb:Modular_forms
Number theory Representation theory |
| gptkbp:scientific_classification |
Eisenstein series
Cusp forms Holomorphic forms |
| gptkbp:used_in |
Langlands program
|
| gptkbp:bfsParent |
gptkb:Goro_Shimura
gptkb:Erich_Hecke |
| gptkbp:bfsLayer |
5
|