$ $k$-theory $k$-theoryandhomology;cyclichomologyandcohomology $k$-theoryandoperatoralgebras 05a1911a2511e2511f3311f3711p8414k2517b6730b7033d15 11-0611-0214-0611gxx11mxx11rxx11yxx14hxx14kxx14qxx 13f3514b0516e4016t0519k5619d5522e4658b3453c2458j42 14a2218d5019k3519l4719l5020f1046l5553d5558b3481r60 14d2214d2014h1014h6014j10 14hxx30fxx68wxx 1887-1920 abelianvarietiesandschemes adamsspectralsequences additivenumbertheory;partitions algebra algebraic algebraicfields algebraicmoduliproblems algebraicnumbertheory:globalfields algebraictopology analysisonmanifolds andnonholonomicsystems arithmeticalalgebraicgeometry arithmeticalgebraicgeometry(diophantinegeometry) arithmeticfunctions;relatednumbers;inversionformulas arithmeticringsandotherspecialrings arithmeticvarietiesandschemes;arakelovtheory;heights associativeringsandalgebras basichypergeometricfunctions basichypergeometricfunctionsinonevariable bi-hamiltonianstructures bijectivecombinatorics categorieswithstructure categorytheory;homologicalalgebra classification:algebraictheory collections combinatorics commutativealgebra commutativerings completelyintegrablesystems complexanalysis complexcobordism($ complexmanifolds computationalaspectsinalgebraicgeometry computationalnumbertheory computerscience congresses congruencesformodularand$p$-adicmodularforms connectionswithlogicandautomata contact contactgeometry continuedfractions curves curvesofarbitrarygenusorgenus$\ne1$overglobalfields cyclic dataprocessing deformationquantization differential differentialequations differentialgeometry differentialtopology dihedral discontinuousgroupsandautomorphicforms dynamicalsystemsandergodictheory elementarynumbertheory ellipticcohomology ellipticequationsonmanifolds enumerativecombinatorics equationsofmathematicalphysicsandotherareasofapplication equivariant$k$-theory etc families fibrations fineandcoarsemodulispaces finite-dimensionalhamiltonian flagmanifolds floerhomologyandcohomology formalgrouplaws formsandlinearalgebraicgroups formsofhalf-integerweight;nonholomorphicmodularforms foundations frobeniusmanifolds functionalanalysis functions functionsofacomplexvariable general generaltheory geography geometrischesmodell geometry globalanalysis globalanalysis(mathematics) globaldifferentialgeometry globaltheoryofsymplecticandcontactmanifolds gopakumar-vafainvariants grassmannians gromov-witteninvariants groupsandalgebrasinquantumtheory grouptheory grouptheoryandgeneralizations hierarchies(kdv higheralgebraic$k$-theory homologicalalgebra homologicalmethods homologyandcohomologytheories hopfalgebras hopfalgebrasandtheirapplications hypercohomology indextheory infinite-dimensionalhamiltoniansystems infinite-dimensionalmanifolds informationstorageandretrievalsystems integrabilitytests kac-moody(super)algebras;extendedaffineliealgebras;toroidalliealgebras kdv-likeequations(korteweg-devries) korteweg-devriesequation kp lagrangian liealgebras liealgebrasandliesuperalgebras liegroups localtheory manifoldsandcellcomplexes mathematicalstatistics mathematics moduli moduli(algebraic) modulitheory nonassociativeringsandalgebras noncommutativealgebraicgeometry noncommutativealgebras noncommutativedifferentialgeometry noncommutativegeometry noncommutativegeometry(àlaconnes) noncommutativeglobalanalysis noncommutativeresidues noncommutativerings numbertheory operads otherdecisionproblems othergeneralizations otherhomologytheories partial partialdifferentialequations partialdifferentialequationsonmanifolds;differentialoperators partitionidentities;identitiesofrogers-ramanujantype physics potentialsandcapacities potentialtheory problems proceedings pseudoholomorphiccurves quantumcohomology quantumgroupsandrelatedtopics quantumtheory ramanujanaiyangar relationswithalgebraicgeometry relationswithsymplecticgeometryandtopology representationsofsolutions researchexposition(monographs riemannsurfaces rigidityresults schubertvarieties science-physics science/mathematics semisimpleliegroupsandtheirrepresentations seriesexpansions severalcomplexvariablesandanalyticspaces singularities soliton-likeequations solitonsolutions specialaspectsofinfiniteorfinitegroups specialfunctions specialfunctions(33-xxdealswiththepropertiesoffunctionsasfunctions) specialvarieties spectralsequences srinivasa stacksandmoduliproblems starproducts statistics statistik sumsofsquaresandrepresentationsbyotherparticularquadraticforms surfacesandhigher-dimensionalvarieties symplecticandcontacttopology symplecticaspects symplecticgeometry symplecticmanifolds theta thetafunctions toda topological$k$-theory topologicalfields topologicalgroups vectorbundles vectorbundlesoncurvesandtheirmoduli vonneumann($w^*$-)algebras wittvectorsandrelatedrings womenmathematicians wordproblems zetaand$l$-functions:analytictheory