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gptkbp:instance_of
|
gptkb:Mathematics
|
|
gptkbp:characterized_by
|
gptkb:Perfectoid_Rings
|
|
gptkbp:developed_by
|
gptkb:Peter_Scholze
|
|
gptkbp:has_applications_in
|
Arithmetic Geometry
|
|
gptkbp:has_connection_to
|
gptkb:Mathematics
Tate's Theorem
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Perfectoid Spaces
|
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gptkbp:involves
|
Topological Spaces
|
|
gptkbp:is_a
|
Type of Space
|
|
gptkbp:is_applied_in
|
Number Theory
Theoretical Mathematics
|
|
gptkbp:is_associated_with
|
p-adic Analytic Spaces
|
|
gptkbp:is_atype_of
|
gptkb:architecture
|
|
gptkbp:is_characterized_by
|
Perfectoid Structure
|
|
gptkbp:is_connected_to
|
gptkb:Frobenius_Morphism
Etale Cohomology
|
|
gptkbp:is_considered
|
Mathematical Research
Geometric Representation Theory
|
|
gptkbp:is_considered_in_depth_in
|
Advanced Algebraic Geometry
|
|
gptkbp:is_examined_in
|
Mathematical Research
Algebraic Topology
Algebraic Geometers
|
|
gptkbp:is_explored_in
|
gptkb:researchers
Mathematicians
Modern Algebra
Homotopy Theory
|
|
gptkbp:is_explored_in_research_on
|
Non-Archimedean Analysis
|
|
gptkbp:is_fundamental_to
|
p-adic Analysis
p-adic Hodge Theory
p-adic Structures
|
|
gptkbp:is_influential_in
|
Modern Algebraic Geometry
|
|
gptkbp:is_key_to_research_in
|
Arithmetic Geometry
|
|
gptkbp:is_linked_to
|
gptkb:Perfectoid_Rings
|
|
gptkbp:is_linked_to_research_in
|
Geometric Number Theory
|
|
gptkbp:is_notable_for
|
Theoretical Implications
Applications in Number Theory
|
|
gptkbp:is_part_of
|
Modern Mathematics
Non-Archimedean Geometry
|
|
gptkbp:is_related_to
|
gptkb:Perfectoid_Fields
|
|
gptkbp:is_relevant_to
|
Moduli of Curves
|
|
gptkbp:is_standardized_by
|
Formal Schemes
|
|
gptkbp:is_studied_for
|
Geometric Properties
|
|
gptkbp:is_studied_in
|
gptkb:Mathematics
Higher Dimensional Algebraic Geometry
Arithmetic Algebraic Geometry
|
|
gptkbp:is_used_for
|
Studying Galois Representations
|
|
gptkbp:is_used_in
|
Moduli Problems
|
|
gptkbp:is_utilized_in
|
Arithmetic Geometry
|
|
gptkbp:key
|
Understanding p-adic Hodge Theory
p-adic Cohomology
p-adic Cohomology Theory
|
|
gptkbp:provides_information_on
|
Local Fields
|
|
gptkbp:related_to
|
p-adic Geometry
|
|
gptkbp:used_in
|
gptkb:Mathematics
|
|
gptkbp:bfsParent
|
gptkb:Peter_Scholze
|
|
gptkbp:bfsLayer
|
5
|