41. John Horvath Reminiscences Among the visitors, let me list Shmuel Agmon, lars Garding, lars hormander, JacquesLouis Lions (who came wiht his then two-year old son Pierre-Louis, http://www.math.umd.edu/department/history/horvath.shtml

HOME PEOPLE UNDERGRADUATE GRADUATE ... History John Horvath Reminiscences When I arrived at the University of Maryland in 1957, it was one of the most important centers for partial differential equations in the whole world. Most of the activity took place in the Institute for Fluid Dynamics and Applied Mathematics, which was situated on the third floor of the present Mathematics Building, while the Department of Mathematics occupied the first and the second floor. The fourth floor is a later addition. Many of the mathematicians at the Institute had a joint appointment in the Department, and did teach a course. Some, who originally came to the Institute, switched to the Department. Two of those are still with us, though both are emeriti now. One of them, Karl Stellmacher, gave a negative solution to a celebrated problem of Hadamard whether the only partial differential operators which exhibit Huygens' phenomenon are those which can be obtained by a change of variables from the wave operator. Among Avron Douglis' numerous publications, there is one written in collaboration with Shmuel Agmon and Louis Nirenberg which is one of the most often quoted papers in the history of mathematics. The first generation of member of the Institute was recruited by Monroe Martin, it first director, and by Alexander Weinstein, who has outstanding contributions to eigenvalues and to singular partial differential operators. Unfortunately Weinstein had a difficult personality, and some of those who came because of him, left because of him.

42. Página Principal The Analysis of Linear Partial Differential Operators IV, lars hormander, MAT. 43344, 1969. Biblioteca Facultad de Cs.U. de Chile http://www.pucuch.cl/paginas/informa.php?opcion=2710022359250

43. Medallas Translate this page 1962, lars hormander, Suecia. John Milnor, USA. 1966, Michael Atiyah, UK. Paul Cohen, USA. Alexander Grothendieck, Alemania. Stephen Smale, USA http://www.sectormatematica.cl/historia/medallas.htm

MEDALLAS FIELDS "TRANSIRE SVVM PECTUS MVNDOQUE POTIRE" "Sobrepasar su propio entendimiento y apoderarse del mundo" Como un claro respaldo al estudio de las matemáticas en China, por primera vez en sus 105 años de historia, el XXIV congreso mundial de matemáticos, se ha celebrado en un país en vías de desarrollo. El evento comenzó, como es habitual, con la entrega de las medallas Fields, consideradas el premio Nobel de las matemáticas . El galardón, que se concede cada cuatro años, ha sido para el investigador francés Laurent Lafforgue y el ruso Vladimir Voevodsky Lafforgue, profesor del Instituto de Altos Estudios Científicos de París, trabaja en el programa ‘Langlands’, un concepto que busca una unidad subyacente entre varias disciplinas matemáticas. Vladimir Voevodsky, de origen ruso, es especialista en geometría algebraica abstracta. La medalla Fields, que sólo puede concederse a personas menores de 40 años, está acuñada en oro y lleva grabado en su anverso el siguiente lema: "Congregati ex toto orbe mathematici ob scriptia insignia tribuere" ("Los matemáticos de todo el mundo aquí reunidos rinden tributo por un trabajo extraordinario").

44. Medallas Fields 2002 Translate this page lars hormander, 31 AÑOS, Suecia. John Milnor, 31 AÑOS, Estados Unidos. AÑO 1966. Michael Atiyah, 37 AÑOS, Reino Unido. Paul Cohen, 32 AÑOS, Estados Unidos http://personales.ya.com/casanchi/ref/fields2002.htm

Más artículos de reflexiones MEDALLAS FIELDS 2002 LOS NUEVOS MATEMÁTICOS La Medalla Fields es el premio de mayor importancia que puede recibir un matemático vivo. Como ocurre con los Premios Nobel, representa para los galardonados el pasar a la Historia de la Ciencia. Fields Procede el nombre de John Charles Fields (1863-1932), que en 1924 Presidió el Congreso Internacional de Matemáticas, en el cual se hizo la propuesta de concesión a los descubrimientos matemáticos más destacados. Se otorga el premio cada 4 años, y en total pueden recibir la medalla Fields hasta seis matemáticos en cada edición del mismo. Los galardonados han de ser menores de 40 años de edad. Aunque en algunas ocasiones se han concedido hasta un total de cuatro medallas Fields, en la última ocasión, agosto de 2002, solo han sido premiados dos de los posibles candidatos de todo el mundo. Han sido el ruso Vladimir Voevodsky y el francés Laurent Lafforgue. En lo que respecta a la cuantía económica, digamos que es irrisoria comparada con la de los Premios Nobel. 01. Las medallas Fields.

45. Gacetilla Matematica Medallas Fields lars hormander - (31; Suecia) John Milnor - (31; USA) Suecia 1, lars hormander - 1962 http://www.arrakis.es/~mcj/fields.htm

Medallas Fields Mittag-Leffer Charles Fields John Charles Fields Hasta el momento se han concedido 42 (1998) Desde 1936 hasta 1950 no se concedieron debido a la II Guerra Mundial GANADORES MEDALLAS FIELDS Lars Ahlfors - (29; Finlandia) Jesse Douglas - (39; USA) Laurent Schwartz - (35; Francia) Atle Selber - (33; Noruega) Jean-Pierre Serre - (27; Francia) Klaus Roth - (32; Alemania) Rene Thom - (35; Francia) Lars Hormander - (31; Suecia) John Milnor - (31; USA) Michael Atiyah - (37; UK) Paul Cohen - (32; USA) Alexander Grothendieck - (38; Alemania) Stephen Smale - (36; USA) Alan Baker - (31; UK) Serge Novikov - (32; Rusia) John Thompson - (36; USA) Enrico Bombieri - (33; Italia) David Mumford - (37; UK) Charles Fefferman - (29; USA) Gregori Margulis - (32; USSR) Daniel Quillen - (38; USA) Alain Connes - (35; Francia) William Thurston - (35; USA) Shing-Tung Yau - (33; Hong Kong) Simon Donaldson - (27; UK) Gerd Faltings - (32; Alemania) Michael Freedman - (35; USA) Vladimir Drinfeld - (36; USRR) Vaughan Jones - (38; Nueva Zelanda) Edward Witten - (38; USA)

46. Scientistswarning lars hormander, Wolf Prize in Mathematics, Sweden Dorothy Horstmann, Epidemiologist, National Academy of Sciences, USA http://www.peace.ca/scientistswarning.htm

Warning issued on November 18, 1992 World Scientists' Warning To Humanity Some 1,700 of the world's leading scientists, including the majority of Nobel laureates in the sciences, issued this appeal in November 1992. The Warning was written and spearheaded by UCS Chair Henry Kendall. Human beings and the natural world are on a collision course. Human activities inflict harsh and often irreversible damage on the environment and on critical resources. If not checked, many of our current practices put at serious risk the future that we wish for human society and the plant and animal kingdoms, and may so alter the living world that it will be unable to sustain life in the manner that we know. Fundamental changes are urgent if we are to avoid the collision our present course will bring about. The Environment The environment is suffering critical stress: The Atmosphere Stratospheric ozone depletion threatens us with enhanced ultraviolet radiation at the earth's surface, which can be damaging or lethal to many life forms. Air pollution near ground level, and acid precipitation, are already causing widespread injury to humans, forests and crops. Water Resources Heedless exploitation of depletable ground water supplies endangers food production and other essential human systems. Heavy demands on the world's surface waters have resulted in serious shortages in some 80 countries, containing 40% of the world's population. Pollution of rivers, lakes and ground water further limits the supply.

47. The Life And Times Of One Of The Century's Most Gifted Individuals In each case, he used an eminent sounding board DC Spencer at Princeton, Norman Levinson at MIT, and lars hormander at Courant. And in each case, http://www.siam.org/siamnews/06-99/nash.htm

SIAM News Quick Search: Book Review James Case The Life and Times of One of the Century's Most Gifted Individuals A Beautiful Mind Sylvia Nasar The author, best known as an economics correspondent for The New York Times, describes her biography of John Nash as a play in three acts: genius, madness, and reawakening. It is hard to say exactly when, during the 1950s, it became clear that Nash was a rare genius. He began the decade as a promising graduate student at Princeton and ended it in madness. In the interim, he did the work he will always be remembered for, in game theory, geometry, and analysis. His reawakening from madness is no easier to date than his descent into it but seems to have been well under way by 1990, according to those who saw him on a more or less daily basis in and around Princeton. He spent the intervening decades in varying degrees of mental illness, the depths of which Nasar strives mightily to plumb. The book devotes only a chapter to Nash's boyhood in Bluefield, West Virginia, and another to his undergraduate years at the Carnegie Institute of Technology-now Carnegie Mellon University-which he attended on a Westinghouse scholarship between June 1945 and June 1948.* Nash arrived well prepared, having completed numerous courses at Bluefield College while still in high school. His friends from those years remember him as a "brain," destined to become a "scientist," presumably of the white-coated Hollywood variety then making relentlessly pub-licized contributions to the war effort. He excelled in school but displayed no particular affinity for any one subject. Socially, he is remembered as awkward and immature.

48. List Of Academy Members Awarded The Wolf Prize 1988 Friedrich Hirzebruch (Max Planck Institut) and lars hormander (University of Lund, Sweden) 1989 Alberto P. Calderon (University of Chicago) http://www.amacad.org/news/wolflist.aspx

Site Map Welcome Guest Home News About Us Projects ... Contact Us List of Academy Members Awarded the Wolf Prize Agriculture 1981 Henry A. Lardy (University of Wisconsin) 1982 Wendell L. Roelofs (Cornell University) 1984/5 Robert H. Burris (University of Wisconsin) 1986 Ernest R. Sears (University of Missouri-Columbia) 1987 Theodore O. Diener (University of Maryland) 1990 Jozef Stefaan Schell (Max Planck Institut) Chemistry 1978 Carl Djerassi (Stanford University) 1979 Herman F. Mark (Polytechnic Institute of New York) 1981 Joseph Chatt (University of Sussex, England) 1982 John C. Polanyi (University of Toronto) and George C. Pimentel (University of California, Berkeley) 1983/4 Herbert S. Gutowsky (University of Illinois at Urbana-Champaign) and Hardem M. McConnell (Stanford University) 1984/5 Rudolph A. Marcus (California Institute of Technology) 1986 Albert Eschenmoser (Swiss Federal Institute of Technology) 1987 Sir David C. Phillips (Oxford University, England)

49. WORLD SCIENTISTS'WARNING TO HUMANITY lars hormander, Wolf Prize in Mathematics, Sweden. Dorothy Horstmann, Epidemiologist, National Academy of Sciences, USA http://www.eolss.net/worldwarning.aspx

www.eolss.net Home Search Demo Feedback ... Demo Login or Subscription Subscription Information Members Login Access for Institutions Free Trial ... Editors/Commissioners Services Join Our Mailing List Feedback Useful Links WORLD SCIENTISTS' WARNING TO HUMANITY Human beings and the natural world are on a collision course. Human activities inflict harsh and often irreversible damage on the environment and on critical resources. If not checked, many of our current practices put at serious risk the future that we wish for human society and the plant and animal kingdoms, and may so alter the living world that it will be unable to sustain life in the manner that we know. Fundamental changes are urgent if we are to avoid the collision our present course will bring about. THE ENVIRONMENT The environment is suffering critical stress: The Atmosphere Stratospheric ozone depletion threatens us with enhanced ultra-violet radiation at the earth's surface, which can be damaging or lethal to many life forms. Air pollution near ground level, and acid precipitation, are already causing widespread injury to humans, forests and crops. Water Resources Heedless exploitation of depletable ground water supplies endangers food production and other essential human systems. Heavy demands on the world's surface waters have resulted in serious shortages in some 80 countries, containing 40% of the world's population. Pollution of rivers, lakes and ground water further limits the supply.

50. Reading Room New Books List 133 hormander, lars Notions of Convexity Birkhauser, 1994 (Oct) Progress in Mathematics Ser., Vol. 127 Katok, Anatole Introduction to the Modern Theory of http://www.math.ucla.edu/library/booklist.htm

Reading Room New Books List Back to Reading Room Home Page This page maintained by Math Librarian Last modified 4 November 1996.

51. Basic Library List-Differential Equations hormander, lars. The Analysis of Linear Partial Differential Operators I Distribution Theory and Fourier Analysis, New York, NY SpringerVerlag, 1983, http://www.maa.org/BLL/DIFFERENTIAL.htm

Differential Equations Back to Table of Contents Differential Equations: Introductory Texts *** Boyce, William E. and DiPrima, Richard C. Elementary Differential Equations and Boundary Value Problems, New York, NY: John Wiley, 1969, 1992. Fifth Edition. * Braun, Martin. Differential Equations and Their Applications: An Introduction to Applied Mathematics, New York, NY: Springer-Verlag, 1975, 1983. Third Edition. Burghes, David N. and Borrie, M.S. Modelling with Differential Equations New York, NY: Halsted Press, 1981. * Coddington, Earl A. An Introduction to Ordinary Differential Equations Mineola, NY: Dover, 1989. ** Edwards, C.H., Jr. and Penney, David E. Elementary Differential Equations with Applications, Englewood Cliffs, NJ: Prentice Hall, 1985, 1989. Second Edition. Hochstadt, Harry. Differential Equations Mineola, NY: Dover, 1975. ** Hubbard, John H. and West, Beverly H. Differential Equations: A Dynamical Systems Approach, New York, NY: Springer-Verlag, 1991. Miller, Richard K. Ordinary Differential Equations New York, NY: Academic Press, 1982.

52. Hörmander: Hypoelliptic Differential Operators HYPOELLIPTIC DIFFERENTIAL OPERATORS Q par lars hormander (Princeton) 1. 492 lars hormander REFERENCES 1 L. hormander, On the theory of general partial http://www.numdam.org/numdam-bin/item?id=AIF_1961__11__477_0

53. Trèves: Un Théorème Sur Les équations Aux Dérivées Partielles à Coefficie 2 hormander ( lars ). On thé theory of général partial differential operators, 4 hormander (lars). Local and global properties of fundamental http://www.numdam.org/numdam-bin/item?id=BSMF_1962__90__473_0

54. Citebase - Polynomial Hulls And H-infinity Control For A G/A, Ho hormander, lars, Notions of Convexity, Birkhauser, Boston, 1994. G/A, Hu Hui, S., Qualitative properties of solutions to H1 optimization http://citebase.eprints.org/cgi-bin/citations?id=oai:arXiv.org:math/0001039

55. Citebase - Polynomial Hulls And An Optimization Problem G/A, Ho hormander, lars, Notions of Convexity, Birkhauser, Boston, 1994. G/A, L1 Lempert, Laszlo, Holomorphic retracts and intrinsic metrics in convex http://citebase.eprints.org/cgi-bin/citations?id=oai:arXiv.org:math/0407023

56. Home Page For Al Matthews An Introduction to Complex Analysis in Several Variables; lars hormander. Introduction to Holomorphic Functions of Several Variables; Robert C. Gunning. http://www.maths.tcd.ie/~al/topicsandlist.html

Al Matthews : Mathematics postgraduate. Some subjects and references: Bounded Symmetric Domains: Bounded Symmetric Domains and Jordan Pairs; Otmar Loos. Lie Groups and Lie Algebras: Elements of Mathematics: Lie Groups and Lie Algebras; Bourbaki, this seems to be good. Jordan Algebras, Jordan Triple Systems, and Jordan Pairs: The Minnesota Notes on Jordan Algebras and Their Applications; Max Koecher. Jordan Pairs; Ottmar Loos. Lecture notes on Jordan triples; Ottmar Loos. CR-Geometry: Ref: CR Manifolds and the Tangential Cauchy-Riemann Complex; Albert Boggess. Complex Analysis in several variables: An Introduction to Complex Analysis in Several Variables; Lars Hormander. Introduction to Holomorphic Functions of Several Variables; Robert C. Gunning. Spectral theory: An Introduction to Complex Analysis in Several Variables; Lars Hormander covers a bit of this. ams.org, mathematical subject classification al@maths.tcd.ie Room G29, O'Reilly Institute, Trinity College Dublin Office telephone is +353-1-608 2156. Main page.

57. The Institute Letter lars hormander (1962), John W. Milnor (1962), Enrico Bombieri (1974), Pierre Deligne (1978), Edward Witten (1990), Jean Bourgain (1994), http://www.ias.edu/the-institute-letter/archive/03Winter/winter03.php

From the Director Trustees Directory Publications ... How to Apply Institute For Advanced Study John von Neumann, left, with Robert Oppenheimer, Director of the Institute for Advanced Study from 1947-66. In 1946, John von Neumann organized a group to develop and construct at the Institute a large-scale, high-speed electronic computing instrument which could be used as a new tool for the mathematician, wrote Robert Oppenheimer in an Institute for Advanced Study publication entitled Report of the Director, 1948-1953. The group undertook an engineering research and development program, Oppenheimer continued, which culminated in January, 1952 with the completion of a machine. This machine was the prototype for a number built by various government agencies. It has also contributed ideas to a number of other groups which have produced comparable instruments. John von Neumann was a Faculty member in the School of Mathematics from 1933-57. The logical architecture of the IAS computer, documented in a series of progress reports published by the Institute at every stage of its development, remains the prototype for nearly all computers in use today. VLADIMIR VOEVODSKY APPOINTED TO FACULTY IN SCHOOL OF MATHEMATICS The Institute for Advanced Study has announced the appointment of Vladimir Voevodsky as a Professor in the School of Mathematics.

58. PACM Student Seminar Louis Niremberg and lars hormander, to help answer questions about the regularity of solutions to linear PDEs with non constant coefficients. http://www.math.princeton.edu/~skryazhi/StudentSeminar/archive/Fall1999.htm

Graduate Student Seminar Fall 1999/2000 abstracts Oct. 8, 1999. Cliona Golden. On the Feynman-Kac formula. Oct. 22, 1999. Jaime Cisternas. Dynamics of a few vortices. Oct. 29, 1999. Urmila Malvadkar. Models of soil-water-plants. Nov. 12, 1999. Mike Tehranchi. Hamburger moment problem. Nov. 19 and Dec. 3, 1999. Jorge Silva. On pseudo-differential operators and Fourier integral operators. This will be a lecture, not a technical talk. Basically, I will try to present the basic ideas of pseudo-differential operators and fourier integral operators (PsiDOs and FIOs), as far as can be done in one hour. Usually, books on the subject tend to be thick (like Treves' two volumes). So, in one hour, there isn't much one can do (Fefferman, last semester, spent two months talking about it to the math grad students and he didn't do much, either...). My goal is not show you that I was able to learn a lot of hard non-trivial theorems, which you won't be the least interested in. I actually want you to get the general idea of the subject in very general and simple terms. PsiDOs and FIO are harmonic analysis tools, invented in the mid sixties by J.J.Kohn (yes... the one upstairs), Louis Niremberg and Lars Hormander, to help answer questions about the regularity of solutions to linear PDEs with non constant coefficients. Dec. 10, 1999. Sinan Gunturk. On an encoding problem.

59. Title hormander, lars. c2003. O177 FC76 2003. A course in functional analysis = . Conway, John B. 2003. O177 FL44f. Functional analysis applications http://www.lib.tsinghua.edu.cn/NEW/newbook/eng0403main.htm

60. Author Title Edition Printing Date Publisher Abelson, Harold And hormander, lars, Linear Partial Differential Equations, 4th edition, SpringerVerlag. Hughston, LP and Ward, RS, Advances in Twistor Theory http://scidiv.bcc.ctc.edu/LS/books.html

Author Title Edition Printing Date Publisher Abelson, Harold and Sussman, Gerald and Sussman, Julie Structure and Interpretation of Computer Programs 2nd Edition MIT Press Ablamovicz, Rafal and Sobczyk, Garret Lectures on Clifford Algebras Birkhauser Abraham, Ralph and Marsden, Jerrold Foundations of Mechanics 2nd edition Addison-Wesley Abrikosov A. A. and Gorkov, L. P. and Dzyaloshinski, I. E. Methods of Quantum Field Theory in Statistical Physics revised edition Dover Adams, J. F. Infinite Loop Spaces Princeton University Press Adams, Malcolm and Guillemin, Victor Measure Theory and Probability Birkhauser Ahlfors, Lars V. Complex Analysis 2nd edition McGraw-Hill Akhiezer, N. I. and Glazman, I. M. Theory of Linear Operators in Hilbert Space, Volumes I and II Dover Akivis, M. A. and Goldberg, V. V. Rev. English Dover Albert, David Z. Quantum Mechanics and Experience Harvard University Press Almgren, Frederick J. Jr. Revised American Mathematical Society Ames, James and Murnaghan, Francis Theoretical Mechanics Dover Amrein, W. and Jauch, J. and Sinha, K. Scattering Theory in Quantum Mechanics W. A. Benjamin, Inc.

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