05904nam 22017655 450 991015475100332120190708092533.01-4008-8169-210.1515/9781400881697(CKB)3710000000620166(SSID)ssj0001651313(PQKBManifestationID)16426300(PQKBTitleCode)TC0001651313(PQKBWorkID)13247354(PQKB)10968303(MiAaPQ)EBC4738555(DE-B1597)467988(OCoLC)979836505(DE-B1597)9781400881697(EXLCZ)99371000000062016620190708d2016 fg engurcnu||||||||txtccrProspects in Mathematics. (AM-70), Volume 70 /Friedrich Hirzebruch, Lars Hörmander, I. M. Singer, Jean-Pierre Serre, John MilnorPrinceton, NJ : Princeton University Press, [2016]©19721 online resource (197 pages)Annals of Mathematics Studies ;270Bibliographic Level Mode of Issuance: Monograph0-691-08094-1 Includes bibliographical references.Frontmatter -- PREFACE -- CONTENTS -- THE SIGNATURE THEOREM: REMINISCENCES AND RECREATION / Hirzebruch, F. -- THE CALCULUS OF FOURIER INTEGRAL OPERATORS / Hormander, Lars -- SYMMETRIC INNER PRODUCTS IN CHARACTERISTIC 2 / Milnor, John -- COHOMOLOGIE DES GROUPES DISCRETS / Serre, Jean-Pierre -- FUTURE EXTENSIONS OF INDEX THEORY AND ELLIPTIC OPERATORS / Singer, I. M. Five papers by distinguished American and European mathematicians describe some current trends in mathematics in the perspective of the recent past and in terms of expectations for the future. Among the subjects discussed are algebraic groups, quadratic forms, topological aspects of global analysis, variants of the index theorem, and partial differential equations.Annals of mathematics studies ;Number 70.MathematicsCongressesA priori estimate.Addition.Additive group.Affine space.Algebraic geometry.Algebraic group.Atiyah–Singer index theorem.Bernoulli number.Boundary value problem.Bounded operator.C*-algebra.Canonical transformation.Cauchy problem.Characteristic class.Clifford algebra.Coefficient.Cohomology.Commutative property.Commutative ring.Complex manifold.Complex number.Complex vector bundle.Dedekind sum.Degenerate bilinear form.Diagram (category theory).Diffeomorphism.Differentiable manifold.Differential operator.Dimension (vector space).Ellipse.Elliptic operator.Equation.Euler characteristic.Euler number.Existence theorem.Exotic sphere.Finite difference.Finite group.Fourier integral operator.Fourier transform.Fourier.Fredholm operator.Hardy space.Hilbert space.Holomorphic vector bundle.Homogeneous coordinates.Homomorphism.Homotopy.Hyperbolic partial differential equation.Identity component.Integer.Integral transform.Isomorphism class.John Milnor.K-theory.Lebesgue measure.Line bundle.Local ring.Mathematics.Maximal ideal.Modular form.Module (mathematics).Monoid.Normal bundle.Number theory.Open set.Parametrix.Parity (mathematics).Partial differential equation.Piecewise linear manifold.Poisson bracket.Polynomial ring.Polynomial.Prime number.Principal part.Projective space.Pseudo-differential operator.Quadratic form.Rational variety.Real number.Reciprocity law.Resolution of singularities.Riemann–Roch theorem.Shift operator.Simply connected space.Special case.Square-integrable function.Subalgebra.Submanifold.Support (mathematics).Surjective function.Symmetric bilinear form.Symplectic vector space.Tangent space.Theorem.Topology.Variable (mathematics).Vector bundle.Vector space.Winding number.Mathematics510Hirzebruch Friedrich, 41862Hörmander Lars, Milnor John, Singer I. M., DE-B1597DE-B1597BOOK9910154751003321Prospects in Mathematics. (AM-70), Volume 701898473UNINA