$k$-theory $k$-theoryandhomology;cyclichomologyandcohomology $k$-theoryandoperatoralgebras 13f3514b0516e4016t0519k5619d5522e4658b3453c2458j42 515 531 58j5358j5058j5165n2535p1511f7253c2034l1534e0557r18 abstractharmonicanalysis algebra algebraicgeometry algorithms analysis analysisonmanifolds analytic arithmeticringsandotherspecialrings associativeringsandalgebras astronomy astrophysics asymptoticbehaviorofsolutions asymptoticexpansions asymptotictheory bifurcationtheory boundaryvalueproblems boundaryvalueproblemsforsecond-orderellipticequations calculusofvariations calculusofvariationsandoptimalcontrol;optimization catastrophes(mathematics) classicalandquantumgravitation classicaldifferentialgeometry commutativealgebra commutativerings condensedmatter conformalgeometry congresses continuummechanics continuummechanicsandmechanicsofmaterials cosmologie cosmology criticalexponents cyclic diffeomorphisms differentiabledynamicalsystems differentiablemanifolds differential differentialequations differentialgeometry differentialtopology dihedral discontinuousgroupsandautomorphicforms eigenvalueproblems eigenvalues elementaryparticles ellipticequationsandsystems ellipticmonge-ampèreequations engineeringmathematics estimationofeigenvalues fluids functionsofcomplexvariables generalizedspaces generalrelativity(physics) geometry globalanalysis globalanalysis(mathematics) globalanalysisandanalysisonmanifolds globalriemanniangeometry grouptheory géométriedifférentielle harmonicanalysis higheralgebraic$k$-theory historyofmathematicalsciences homologicalmethods hopfalgebras hopfalgebrasandtheirapplications hypersurfaces immersions(minimal includingpinching indextheory infinite-dimensionalmanifolds integralgeometry interfaces(physicalsciences) isospectrality liegroups localtheory manifolds manifoldsandcellcomplexes materials mathematicalandcomputationalphysics mathematicalmethodsinphysics mathematicaloptimization mathematicalphysics mathematics mathématiques mechanics minimalsurfaces non-associativeringsandalgebras noncommutativealgebras noncommutativegeometry(àlaconnes) noncommutativeglobalanalysis noncommutativeresidues nonlinear nonlinearellipticequations numbertheory numericalanalysis numericalandcomputationalmethods ordinarydifferentialequations ordinarydifferentialoperators partial partialdifferentialequations partialdifferentialequationsonmanifolds;differentialoperators physics physiquemathématique prescribedcurvature qa315 qa401-425 qa670 qualitativepropertiesofsolutions quantumfieldtheory quantumgroupsandrelatedtopics quantumtheory reaction-diffusionequations realfunctions relationsbetweenspectraltheoryandergodictheory relativisticmechanics relativity(physics) relativityandcosmology relativitytheory ricciflow riemannian riemannianmanifolds rigidityresults semisimpleliegroupsandtheirrepresentations shapes singularities specialrelativity(physics) spectralgeometry spectralproblems;spectralgeometry;scatteringtheory spectraltheory;selbergtraceformula spectraltheoryandeigenvalueproblems surfaceswithprescribedmeancurvature symplecticgeometry systemstheory theoretical thermodynamics tight topologicalgroups topologyandgeometryoforbifolds upperandlowerbounds variationalmethodsforsecond-orderellipticequations visualization wittvectorsandrelatedrings équationsauxdérivéespartielles