algebraic K-theory

GPTKB entity

Statements (47)
Predicate Object
gptkbp:instanceOf gptkb:logic
gptkbp:application gptkb:motivic_homotopy_theory
number theory
algebraic cycles
classification of vector bundles
gptkbp:conference gptkb:International_Congress_on_Algebraic_K-Theory
gptkbp:developedBy gptkb:John_Milnor
gptkb:Daniel_Quillen
gptkbp:field gptkb:algebra
gptkb:algebraic_geometry
gptkb:topology
gptkbp:hasConcept K0 group
K1 group
K2 group
higher K-groups
gptkbp:hasJournal gptkb:K-Theory_(journal)
gptkbp:hasTextbook gptkb:Algebraic_K-Theory_(Hyman_Bass)
gptkb:Algebraic_K-Theory_and_Its_Applications_(Jonathan_Rosenberg)
gptkb:Higher_Algebraic_K-Theory_I_(Daniel_Quillen)
gptkbp:hasWebsite https://en.wikipedia.org/wiki/Algebraic_K-theory
https://www.w3.org/2000/01/rdf-schema#label algebraic K-theory
gptkbp:introduced gptkb:Alexander_Grothendieck
gptkbp:notableAchievement gptkb:Milnor_K-theory
gptkb:Bass–Quillen_conjecture
gptkb:Bloch–Kato_conjecture
gptkb:Fundamental_theorem_of_algebraic_K-theory
gptkb:Gersten_conjecture
gptkb:Quillen's_Q-construction
gptkb:Quillen–Lichtenbaum_conjecture
gptkbp:relatedTo homological algebra
motivic cohomology
topological K-theory
gptkbp:studies gptkb:vector_bundles
rings
schemes
projective modules
gptkbp:surveyedBy gptkb:Handbook_of_K-Theory
gptkbp:bfsParent gptkb:Milnor_K-theory
gptkb:Witt_ring
gptkb:Stephen_Lichtenbaum
gptkb:orthogonal_group
gptkb:Algebraic_number_theory
gptkb:Zagier's_conjecture
gptkb:Zagier's_polylogarithm_conjecture
gptkb:Milnor_conjecture
gptkb:k-theory
gptkbp:bfsLayer 5