$k$-theory $k$-theoryandoperatoralgebras 14a2218d5019k3519l4719l5020f1046l5553d5558b3481r60 algebraicgeometry analysisonmanifolds andnonholonomicsystems categorieswithstructure categorytheory;homologicalalgebra commutativealgebra complexmanifolds congresses connectionswithlogicandautomata contact deformationquantization differentialgeometry differentialtopology donaldson-thomasinvariants dynamicalsystemsandergodictheory ellipticequationsonmanifolds equivariant$k$-theory finite-dimensionalhamiltonian floerhomologyandcohomology foundations frobeniusmanifolds functionalanalysis general generaltheory globalanalysis globaltheoryofsymplecticandcontactmanifolds gopakumar-vafainvariants gromov-witteninvariants groupsandalgebrasinquantumtheory grouptheoryandgeneralizations infinite-dimensionalmanifolds kasparovtheory($kk$-theory) lagrangian lagrangiansubmanifolds;maslovindex manifoldsandcellcomplexes noncommutativealgebraicgeometry noncommutativedynamicalsystems noncommutativegeometry noncommutativegeometry(àlaconnes) operads otherdecisionproblems partialdifferentialequationsonmanifolds;differentialoperators projectiveandenumerativegeometry pseudoholomorphiccurves quantumcohomology quantumtheory relationswithsymplecticgeometryandtopology selfadjointoperatoralgebras($c^*$-algebras severalcomplexvariablesandanalyticspaces specialaspectsofinfiniteorfinitegroups starproducts symplecticandcontacttopology symplecticaspects symplecticgeometry symplecticmanifolds topological$k$-theory twisted$k$-theory;differential$k$-theory vonneumann($w^*$-)algebras wordproblems