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Local langlands conjecturesAlgebraic number theoryClass field theoryGauge theoryDiophantine geometryGeometric group theoryErlangen programGeometry of numbersGeometric measure theoryAlgebraic combinatoricsGeometric graph theoryMathematical morphologyCartan decompositionHodge conjectureGeometrodynamicsArithmetic combinatoricsLefschetz hyperplane theoremIntersection theoryTranscendental number theoryGeometric topologyComplex geometryComputational topologyComputational geometryDarboux's theoremIsomorphism theoremsArithmetic geometryLoop quantum gravityCategory theoryQuantum geometrySpecial values of l-functionsGeneralized riemann hypothesisNoncommutative geometryBirational geometryRepresentation theoryInvariant theoryQuantum field theoryAlgebraic k-theoryAlgebraic analysisCoherent sheafExtremal graph theoryCoarea formulaTopological quantum field theoryAlgebraic graph theoryClosed-subgroup theoremLog structureAnalytic number theoryGlobal analysisGeometric algebraComplex analysisRiemannian geometryQuantum topologyHomological algebraSymplectic geometryOperator theoryClass number formulaHypercomplex analysisGalois connectionPositive energy theoremMathematicsAxiom of extensionalityGraph theoryCartan connectionPolyhedral combinatoricsCotangent complexNorm residue isomorphism theoremMapping class groupHurewicz theoremSchanuel's conjectureAlgebraic topologyFundamental representationDifferential formEnumerative geometryGalois cohomologyPetrov classificationEuler's theoremDynamical systems theoryAbstract algebraic logicFibrationProjective geometryAxiom of infinityLength functionLimitGeneral topologySupersingular isogeny graphRicci flowLattice field theoryLie algebra extensionRegge calculusCombinatorial speciesAdjunction formulaPrime number theoremGraph homologyDirac equation in curved spacetimeHomotopy theoryInformation geometryLinking numberAlgebraic varietyPentagonal number theoremAnabelian geometryIntuitionistic type theory