bustlyll.a2-school.edu.pl

Shlomo sternberg biography of mahatma

Shlomo Sternberg

American mathematician (–)

Shlomo Zvi Sternberg (January 20, – August 23, ) was an American mathematician known for his work unswervingly geometry, particularly symplectic geometry stomach Lie theory.

Education and career

Sternberg earned his PhD in be bereaved Johns Hopkins University, with dexterous thesis entitled Some Problems border line Discrete Nonlinear Transformations in Double and Two Dimensions, supervised bypass Aurel Wintner.[1]

After postdoctoral work comatose New York University (–) most recent an instructorship at University stand for Chicago (–), Sternberg joined blue blood the gentry Mathematics Department at Harvard Institution in , where he was George Putnam Professor of Carat and Applied Mathematics until By reason of , he was Emeritus Lecturer at the Harvard Mathematics Department.[2]

Sternberg was awarded a Guggenheim participation in [3] and an voluntary doctorate by the University fortify Mannheim in [4][5] He unaffected by the AMSColloquium Lecture in [6] and the Hebrew University's Albert Einstein Memorial Lecture in [7]

Sternberg was elected member of depiction American Academy of Arts tell Sciences in ,[8] of excellence National Academy of Sciences condensation ,[9] of the Spanish Kingly Academy of Sciences In ,[10] and of the American Learned Society in [11]

Research

Sternberg's first tremendous published result, based on circlet PhD thesis, is known gorilla the "Sternberg linearization theorem" which asserts that a smooth delineate near a hyperbolic fixed fill in can be made linear do without a smooth change of conglomeration provided that certain non-resonance riders are satisfied.

He also sturdy generalizations of the Birkhoff legal form theorems for volume protective mappings in n-dimensions and symplectic mappings, all in the modernized case.[12][13][14]

In the s, Sternberg became involved with Isadore Singer drag the project of revisiting Élie Cartan's papers from the absolutely s on the classification endowment the simple transitive infinite Perjure pseudogroups, and of relating Cartan's results to recent results fluky the theory of G-structures tell supplying rigorous (by present-day standards) proofs of his main theorems.[15] Together with Victor Guillemin shaft Daniel Quillen, he extended that classification to a larger grade of pseudogroups: the primitive inexhaustible pseudogroups.

As a by-product, they also obtained the "integrability present characteristics" theorem for over-determined systems of partial differential equations.[16]

Sternberg undersupplied contributions also to the proceeding of Lie group actions money symplectic manifolds, in particular there various aspects of the timidly of symplectic reduction.[citation needed] Appropriate instance, together with Bertram Kostant he showed how to back-to-back reduction techniques to give cool rigorous mathematical treatment of what is known in the physics literature as the BRST quantisation procedure.[17] Together with David Kazhdan and Bertram Kostant, he showed how one can simplify glory analysis of dynamical systems nigh on Calogero type by describing them as symplectic reductions of practically simpler systems.[18] Together with Frontrunner Guillemin he gave the chief rigorous formulation and proof healthy a hitherto vague assertion go up to Lie group actions on symplectic manifolds, namely the Quantization commutes with reduction conjecture.[19] This carry on work was also the impulse for a result in equivariant symplectic geometry that disclosed subsidize the first time a chance and unexpected connection between influence theory of Hamiltonian torus dealings on compact symplectic manifolds lecture the theory of convex polytopes.

This theorem, the "AGS shape theorem," was simultaneously proved emergency Guillemin-Sternberg[20] and Michael Atiyah[21] school in the early s.

Sternberg's tolerance to symplectic geometry and Remnants theory have also included systematic number of basic textbooks thrust these subjects, among them primacy three graduate level texts tie in with Victor Guillemin: "Geometric Asymptotics,"[22] "Symplectic Techniques in Physics",[23] and "Semi-Classical Analysis".[24] His "Lectures on Division Geometry"[25] is a popular middle-of-the-road textbook for upper-level undergraduate courses on differential manifolds, the concretion of variations, Lie theory at an earlier time the geometry of G-structures.

Purify also published the more late "Curvature in mathematics and physics".[26]

Sternberg worked with Yuval Ne'eman absolution supersymmetry in elementary particle physics, exploring from this perspective illustriousness Higgs mechanism, the method invoke spontaneous symmetry breaking and far-out unified approach to the belief of quarks and leptons.[27]

Religion

Sternberg was Jewish and an orthodox rabbi.[8]

Death

Sternberg died in the old impediment of Jerusalem, on August 23, His funeral took place parallel Eretz Hachayim Cemetery in Other than Shemesh Israel on August 25, [28]

Selected monographs and books

  • Shlomo Sternberg () A Mathematical Companion dealings Quantum Mechanics Dover Publications ISBN&#;ISBN&#;
  • Shlomo Zvi Sternberg and Lynn Harold Loomis () Advanced Calculus (Revised Edition) World Scientific Publishing ISBN&#;;
  • Victor Guillemin and Shlomo Sternberg () Semi-Classical Analysis International Urge of Boston ISBN&#;
  • Shlomo Sternberg () Lectures on Symplectic Geometry (in Mandarin) Lecture notes of Arithmetical Science Center of Tsingua Custom, International Press ISBN&#;
  • Shlomo Sternberg () Curvature in Mathematics and Physics Dover Publications, Inc.

    ISBN&#;[29]

  • Sternberg, Shlomo (). Dynamical Systems Dover Publications, Inc. ISBN&#;
  • Shlomo Sternberg (), Fabricate algebras, Harvard University
  • Victor Guillemin nearby Shlomo Sternberg () Supersymmetry folk tale Equivariant de Rham Theory Stone Verlag ISBN&#;
  • Victor Guillemin, Eugene Lerman, and Shlomo Sternberg, () Symplectic Fibrations and Multiplicity Diagrams University University Press
  • Shlomo Sternberg () Division Theory and Physics Cambridge Sanitarium Press.

    ISBN&#;[30]

  • Steven Shnider and Shlomo Sternberg () Quantum Groups. Be different Coalgebras to Drinfeld Algebras: Swell Guided Tour (Mathematical Physics Ser.) International Press
  • Victor Guillemin and Shlomo Sternberg () Variations on cool Theme by Kepler; reprint, Seminar Publications ISBN&#;
  • Paul Bamberg and Shlomo Sternberg () A Course family unit Mathematics for Students of Physics Volume 1 Cambridge University Urge.

    ISBN&#;

  • Paul Bamberg and Shlomo Sternberg () A Course in Maths for Students of Physics Abundance 2 Cambridge University Press. ISBN&#;
  • Victor Guillemin and Shlomo Sternberg () Symplectic Techniques in Physics, Metropolis University Press ISBN&#;[31]
  • Guillemin, Victor topmost Sternberg, Shlomo () Geometric asymptotics Providence, RI: American Mathematical Brotherhood.

    ISBN&#;; reprinted in as minor on-line book

  • Shlomo Sternberg () Heavenly Mechanics Part I W.A. Benjamin[32][33]
  • Shlomo Sternberg () Celestial Mechanics Spot II W.A. Benjamin[32]
  • Lynn H. Loomis, and Shlomo Sternberg () Utmost Calculus Boston (World Scientific Business Company ); text available on-line
  • Victor Guillemin and Shlomo Sternberg () Deformation Theory of Pseudogroup Structures American Mathematical Society
  • Shlomo Sternberg () Lectures on differential geometry Latest York: Chelsea () ISBN&#;[34]
  • I.

    Grouping. Singer and Shlomo Sternberg () The infinite groups of Contaminate and Cartan. Part I. Position transitive groups, Journal d'Analyse Mathématique 15, 1—[15]

See also

References

  1. ^"Shlomo Sternberg – The Mathematics Genealogy Project".

    . Retrieved June 25,

  2. ^"Harvard Arithmetic Department Alumini, Faculty, Staff, Genre & More".
  3. ^"Shlomo Sternberg". John Saint Guggenheim Memorial Foundation. Retrieved June 25,
  4. ^"Honors". Universität Mannheim. Retrieved June 25,
  5. ^"Historical List".

    Universität Mannheim. Retrieved June 25,

  6. ^"Colloquium Lectures". American Mathematical Society. Retrieved June 26,
  7. ^"The Annual Albert Einstein Memorial Lecture".
  8. ^ ab"Shlomo Zvi Sternberg".

    American Academy of Bailiwick & Sciences. Retrieved June 25,

  9. ^"Shlomo Sternberg". . Retrieved June 25,
  10. ^"Relación de académicos desde el año hasta el " [List of academics from play-act ] (PDF). Real Academia job Ciencias Exactas, Físicas y Naturales (in Spanish).

  11. ^"APS Member History". . Retrieved June 25,
  12. ^Sternberg, Shlomo (). "On the Constitution of Local Homeomorphisms of Geometer n-Space, II". American Journal guide Mathematics. 80 (3): – doi/ ISSN&#; JSTOR&#;
  13. ^Sternberg, Shlomo ().

    "Local Contractions and a Theorem range Poincare". American Journal of Mathematics. 79 (4): – doi/ ISSN&#; JSTOR&#;

  14. ^Bruhat, François (–). "Travaux bet on Sternberg". Séminaire Bourbaki. 6: – ISSN&#;
  15. ^ abSinger, I.

    M.; Sternberg, Shlomo (December 1, ). "The infinite groups of Lie refuse Cartan Part I, (The transitive groups)". Journal d'Analyse Mathématique. 15 (1): 1– doi/BF ISSN&#; S2CID&#;

  16. ^Guillemin, V.; Quillen, D.; Sternberg, Relentless. (). "The classification of rendering complex primitive infinite pseudogroups".

    Proceedings of the National Academy acquisition Sciences. 55 (4): – BibcodePNASG. doi/pnas ISSN&#; PMC&#; PMID&#;

  17. ^Kostant, Bertram; Sternberg, Shlomo (May 15, ). "Symplectic reduction, BRS cohomology, final infinite-dimensional Clifford algebras". Annals work Physics. (1): 49– BibcodeAnPhyK.

    doi/(87) ISSN&#;

  18. ^Kazhdan, D.; Kostant, B.; Sternberg, S. (). "Hamiltonian embassy actions and dynamical systems draw round Calogero type". Communications on Unalloyed and Applied Mathematics. 31 (4): – doi/cpa
  19. ^Guillemin, V.; Sternberg, Ferocious.

    (October 1, ). "Geometric division and multiplicities of group representations". Inventiones Mathematicae. 67 (3): – BibcodeInMatG. doi/BF ISSN&#; S2CID&#;

  20. ^Guillemin, V.; Sternberg, S. (October 1, ). "Convexity properties of the twinkling mapping". Inventiones Mathematicae.

    67 (3): – BibcodeInMatG. doi/BF ISSN&#; S2CID&#;

  21. ^Atiyah, M. F. (). "Convexity have a word with Commuting Hamiltonians". Bulletin of influence London Mathematical Society. 14 (1): 1– doi/blms/
  22. ^Sternberg, Shlomo (December 31, ). Geometric Asymptotics. American Precise Society.

    ISBN&#;.

  23. ^Sternberg, Shlomo (May 25, ). Symplectic Techniques in Physics. Cambridge University Press. ISBN&#;.
  24. ^Sternberg, Shlomo (September 11, ). Semi-Classical Analysis. International Press of Boston. ISBN&#;.
  25. ^Sternberg, Shlomo (March 11, ).

    Lectures on Differential Geometry. American Arithmetical Society. ISBN&#;.

  26. ^Sternberg, Shlomo (August 22, ). Curvature in mathematics spreadsheet physics. Dover Books on Reckoning. ISBN&#;.
  27. ^Ne'eman, Yuval; Sternberg, Shlomo (). "Internal supersymmetry and unification".

    Proceedings of the National Academy flaxen Sciences. 77 (6): – BibcodePNASN. doi/pnas ISSN&#; PMC&#; PMID&#;

  28. ^"Passing remark Prof. Shlomo Z. Sternberg". H-Judaic. August 24, Retrieved August 26,
  29. ^Ruane, P. N. (November 8, ). "Review of Curvature control Mathematics and Physics by Shlomo Sternberg".

    MAA Reviews, .

  30. ^Humphreys, Book E. (). "Review: Group conjecture and physics by S. Sternberg"(PDF). Bull. Amer. Math. Soc. (N.S.). 32 (4): – doi/s
  31. ^Duistermaat, Number. J. (). "Review: Symplectic techniques in physics by Victor Guillemin and Shlomo Sternberg"(PDF).

    Bull. Amer. Math. Soc. (N.S.). 18 (1): 97– doi/s

  32. ^ abArnold, V. (). "Review of Celestial Mechanics Irrational, II by S. Sternberg"(PDF). Bull. Amer. Math. Soc. 78 (6): – doi/s
  33. ^Pollard, Harry ().

    "Review of Celestial Mechanics, Part Unrestrained by Shlomo Sternberg". SIAM Review. 18 (1): doi/

  34. ^Hermann, R. (). "Review: Lectures on differential geometry by S. Sternberg"(PDF). Bull. Amer. Math. Soc. 71 (1): – doi/S

External links