Statements (69)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:theorem
|
| gptkbp:addresses |
gptkb:Pierre_Deligne
Counting Solutions |
| gptkbp:analyzes |
Mathematicians
|
| gptkbp:appliesTo |
Finite Fields
Algebraic_Varieties |
| gptkbp:associatedWith |
Étale_Cohomology
|
| gptkbp:connects |
Modular Forms
|
| gptkbp:designedBy |
gptkb:André_Weil
|
| gptkbp:discusses |
Mathematical_Reviews
|
| gptkbp:establishedIn |
Mathematics
|
| gptkbp:explores |
Research Papers
|
| gptkbp:hasRelatedPatent |
gptkb:Algebraic_K-Theory
gptkb:Algebraic_Groups gptkb:Topological_Groups Combinatorics Cryptography Game Theory Numerical Analysis Control Theory Information Theory Mathematical Logic Operations Research Statistical Mechanics Category Theory Graph Theory Commutative Algebra Functional Analysis Differential Geometry Representation Theory Homological Algebra Complex Geometry Noncommutative Geometry Coding Theory Homotopy Theory Geometric Representation Theory Arithmetic Geometry Noncommutative Algebra Singularity Theory Tropical Geometry Number Theory Research Mathematical_Physics Algebraic_Topology Moduli_Spaces Mathematical_Economics Geometric_Group_Theory Mathematical_Biology Mathematical_Chemistry Quantum_Algebra Arithmetic_of_Elliptic_Curves Arithmetic_Dynamics |
| https://www.w3.org/2000/01/rdf-schema#label |
Weil Conjectures
|
| gptkbp:impact |
Modern Algebraic Geometry
|
| gptkbp:includes |
Functional Equation
Riemann Hypothesis for function fields Lefschetz Trace Formula |
| gptkbp:influenced |
The development of motives.
|
| gptkbp:influencedBy |
Hodge_Theory
|
| gptkbp:inspiration |
gptkb:Langlands_Program
|
| gptkbp:involves |
Rational Points
|
| gptkbp:issues |
Algebraic_Geometry
|
| gptkbp:ledTo |
Further research in algebraic topology.
|
| gptkbp:partOf |
Algebraic_Geometry_Theory
|
| gptkbp:publishedIn |
1950s
|
| gptkbp:relatedTo |
Number Theory
Zeta Functions Grothendieck's_work |
| gptkbp:significance |
Foundation for later developments in arithmetic geometry.
|
| gptkbp:utilizes |
Sheaf_Theory
|