21. Robert Langlands' Work - Main Page Thesis, papers, manuscripts, letters and bibliography. http://www.sunsite.ubc.ca/DigitalMathArchive/Langlands/intro.html

UBC Sun SITE main page email to Editor The work of Robert Langlands Robert P. Langlands was born in New Westminster, British Columbia, in 1936. He graduated from the University of British Columbia with an undergraduate degree in 1957 and an M.Sc. in 1958, and from Yale University with a Ph.D. in 1960. He has held faculty positions at Princeton University and Yale University, and is currently a Professor at the Institute for Advanced Study in Princeton. He has won several awards recognizing his outstanding contributions to the theory of automorphic forms, among them an honorary degree from the University of British Columbia in 1985. Looking forward to eventual publication of his collected works, Professor Langlands is cooperating with us in providing on our site a large selection from his professional correspondence and previously unpublished work, as well as an almost complete collection of all of his published work. This material is being put into TeX at the Institute in Princeton and will appear here as it becomes ready. We would like to thank Dorothea Phares, Marietta Chiorello, Elly Gustafsson, Michelle Huguenin, and Carol Warfield of the staff at the Institute, as well as Mark Goresky, for helping with this project. The material Inevitably, the topics into which we have organized material overlap somewhat.

22. Robert Langlands' Work - Functoriality The work of robert langlands. Functoriality. Letter to André Weil from January,1967. In January of 1967, while he was at Princeton University, langlands http://www.sunsite.ubc.ca/DigitalMathArchive/Langlands/functoriality.html

Main page on Langlands' work The work of Robert Langlands Functoriality In January of 1967, while he was at Princeton University, Langlands wrote a letter of 17 hand-written pages to Andre Weil outlining what quickly became known as `the Langlands conjectures'. This letter even today is worth reading carefully, although its notation is by present standards somewhat clumsy. It was in this letter that what later became known as the ` L -group' first made its appearance, like Gargantua, surprisingly mature. Because of its historic importance, we give here two versions of this letter, as well as a pair of supplementary notes accompanying it. A typed copy of this letter, made at Weil's request for easier reading, circulated widely among specialists in the late 'sixties and 'seventies. The covering note from Harish-Chandra has been helpful in establishing a date for the letter, which is itself undated. The letter Facsimiles of pages of the original letter and the note from Harish-Chandra. In order to help follow in the facsimile, page numbers like [2] have been inserted. In .pdf format

23. National Academy Of Sciences - Members langlands, robert P. Institute for Advanced Study. langlands is a leader in thestudy of group representations and automorphic forms and their applications http://www4.nationalacademies.org/nas/naspub.nsf/(urllinks)/NAS-58N2PF?opendocum

24. History The NAS Building Legal Documents Giving To The National Langer, robert Langer, James S. langlands, robert P. Lardy, Henry Larkins,Brian A. Latorre, Ramon Laughlin, robert B. Lauterbur, Paul C. Law, John H. http://www4.nationalacademies.org/nas/naspub.nsf/urllinks/$$AlphaListL?OpenDocum

25. Graph Theory White Pages Langlands, Robert P. www.graphtheory.com graph theory white pages langlands, robert P. http://www1.cs.columbia.edu/~sanders/graphtheory/people/random.cgi?Langlands, Ro

26. Graph Theory White Pages Fan Chung Graham (with langlands, robert P.) J. Combin. Theory Ser. A 75 (1996) 316327 05C50;A Harnack inequality for homogeneous graphs and subgraphs. (with Yau, S.-T.) http://www1.cs.columbia.edu/~sanders/graphtheory/people/Chung.FRK.html

Use the Search Engine to get to the new data.

27. U.S. Nuclear Data Program Meeting (4/99) - Contributions Tracy LM langlands, robert A. Sutton, James T. Herro Scientific Digital Visions,Inc. Full Text PostScript, Portable Document Format. http://www.nndc.bnl.gov/confreg/19990426usndp/

US Nuclear Data Program Meeting 1999 Held at Brookhaven National Laboratory April 26-29, 1999 To NNDC Contributions Nuclear Structure Nuclear Reaction Data Dissemination Astrophysics TF Astrophysics TF Astrophysics TF Nuclear Reaction Data W.G. ... RadWare, ENSDF, and PDF files Astrophysics Task Force Michael Smith (ORNL) Full Text: HTML Nuclear Reaction Data Working Group Mark B. Chadwick (LANL) Abstract: This document compiles informal progress reports from laboratories participating in the US Nuclear Data Program, and focuses on nuclear reaction data work from April 1998 - April 1999. Full Text: Postscript Portable Document Format Center Reports Argonne Nuclear Reaction Data Activities Donald L. Smith Technology Development Division Argonne National Laboratory Abstract: Analysis of neutron activation cross sections from 16-20 MeV that were measured in 1996 at the IRMM Van de Graaff facility in Geel, Belgium, has been completed and a paper has been submitted for publication. A new set of measurements was performed at the IRMM facility during May-June 1998 as part of an on-going collaboration between Argonne, IRMM, and JAERI. Experimental and evaluated data for neutron-induced hydrogen production reactions on vanadium have been compiled and critically examined. This investigation led to a recommendation that ENDF/B-VI evaluations for the (n,np+pn) and (n,t) processes be revised. These revisions lead to a reduction by a factor of about 3 in hydrogen production from vanadium at 14 MeV neutron energy. The compilation of (p

28. Langlands Biography of robert P langlands (19360BC) robert P langlands father wasrobert langlands while his mother was Kathleen Phelan. http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Langlands.html

Robert Phelan Langlands Born: 6 Oct 1936 in New Westminster, British Columbia, Canada Click the picture above to see two larger pictures Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Version for printing Robert P Langlands ' father was Robert Langlands while his mother was Kathleen Phelan. He married Charlotte Lorraine Cheverie on 13 August 1956 while he was a nineteen year old undergraduate at the University of British Columbia. He was awarded his B.A. in the following year and continued to study at the University of British Columbia for his master's degree which was awarded in 1958. Langlands then studied at Yale University for his doctorate. He submitted his thesis Semi-groups and representations of Lie groups to Yale in 1960 and received the degree of Ph.D. Langlands wrote:- There are two, related parts to this thesis: one on representations of Lie semi-groups and one on operators associated to representations of Lie groups. The first part was published in the Canadian Journal of Mathematics, but the second was published only as an announcement in the Proceedings of the National Academy of Sciences of the USA. It nevertheless had the good fortune to be taken seriously by Derek Robinson, who incorporated some of the results into his book on Elliptic Operators and Lie Groups.

29. References For Langlands References for the biography of robert P langlands. A pdf version); robert Planglands receives first NAS Award in Mathematics, Notices Amer. Math. Soc. http://www-groups.dcs.st-and.ac.uk/~history/References/Langlands.html

References for Robert P Langlands Version for printing Articles: A W Knapp, Group representations and harmonic analysis from Euler to Langlands I, Notices Amer. Math. Soc. A pdf version A W Knapp, Group representations and harmonic analysis II, Notices Amer. Math. Soc. A pdf version Robert P Langlands receives first NAS Award in Mathematics, Notices Amer. Math. Soc. Main index Birthplace Maps Biographies Index History Topics ... Anniversaries for the year JOC/EFR May 2000 School of Mathematics and Statistics University of St Andrews, Scotland The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/References/Langlands.html

30. Robert P. Langlands Office Fuld Hall 115 Mailing Address School Of robert P. langlands. Office, Fuld Hall 115. Mailing Address, School of MathematicsInstitute for Advanced Study Einstein Drive Princeton NJ 08540. email http://www.math.ias.edu/Langlands.html

Robert P. Langlands Office Fuld Hall 115 Mailing Address School of Mathematics Institute for Advanced Study Einstein Drive Princeton N.J. 08540 e-mail Academic Assitant: Alice Garber Works Courtesy of U.B.C. Sunsite Twisted Trace Formula Mornings (1983) Courtesy of Bill Casselman

31. PracLec robert P. langlands. The Practice of Mathematics. Ars longa, vita brevis.New Lectures online at Duke University There are several central mathematical http://www.math.ias.edu/PracLec.html

This page has moved. If your browser doesn't automatically redirect to its new location, click here S CHOOL OF M ATHEMATICS LECTURE SERIES at the INSTITUTE FOR ADVANCED STUDY Robert P. Langlands The Practice of Mathematics Ars longa, vita brevis New Lectures online at Duke University There are several central mathematical problems, or complexes of problems, that every mathematician who is eager to acquire some broad competence in the subject would like to understand, even if he has no ambition to attack them all. That would be out of the question! Those with the most intellectual and aesthetic appeal to me are in number theory, classical applied mathematics and mathematical physics. In spite of forty years as a mathematician, I have difficulty describing these problems, even to myself, in a simple, cogent and concise manner that makes it clear what is wanted and why. As a possible, but only partial, remedy I thought I might undertake to explain them to a lay audience. I shall try for a light touch including, in particular, some historical background. Nevertheless the lectures are to be about mathematics. In the first set, there will be geometrical constructions, simple algebraic equations, prime numbers, and perhaps an occasional integral. Every attempt will be made to explain the necessary notions clearly and simply, taking very little for granted except the good will of the audience.

32. Auteur - Langlands, Robert P. Translate this page langlands, robert P. langlands, R. langlands, robert langlands, RP Lenglends, R.Lenglands, R. Lenglands, RP Lenglends, RP http://www.math.univ-rennes1.fr/bibli/catalogue/Auteur.htm?numrec=06198079191625

33. Editeur - Institute For Advanced Study Translate this page langlands, robert P. Institute for Advanced Study , 2000 langlands, robert P.Institute for Advanced Study , 2000 http://www.math.univ-rennes1.fr/bibli/catalogue/Reference.htm?numrec=19191649191

34. Langlands Program - Wikipedia, The Free Encyclopedia conjectures that connect number theory and the representation theory of certaingroups. It was proposed by robert langlands beginning in 1967. http://en.wikipedia.org/wiki/Langlands_program

You did it! Nearly US$220,000 has been raised . Thank you for your generosity! Celebrate by purchasing Wikipedia merchandise or fulfilling a year-old article request Langlands program From Wikipedia, the free encyclopedia. In mathematics , the Langlands program is a web of far-reaching and influential conjectures that connect number theory and the representation theory of certain groups . It was proposed by Robert Langlands beginning in Contents Connection with number theory The setting of automorphic representations A general principle of functoriality Ideas leading up to the Langlands program ... edit Connection with number theory The starting point of the program may be seen as the Artin reciprocity law which generalizes quadratic reciprocity . The Artin reciprocity law applies to an algebraic number field whose Galois group over Q is abelian , assigns L-functions to the one-dimensional representations of this Galois group; and states that these L-functions are identical to certain Dirichlet L-series (that is, the analogues of the Riemann zeta function constructed from Dirichlet characters ). The precise correspondence between these different kinds of L-functions constitutes Artin's reciprocity law.

35. The Mathematics Genealogy Project - Robert Langlands According to our current online database, robert langlands has 7 students and26 descendants. We welcome any additional information. http://www.genealogy.math.ndsu.nodak.edu/html/id.phtml?id=31056

36. The Mathematics Genealogy Project - Update Data For Robert Langlands If you have Mathematics Subject Classifications to submit for an entire group ofindividuals (for instance all those that worked under a particular advisor) http://www.genealogy.math.ndsu.nodak.edu/html/php/submit-update.php?id=31056

37. The Practice Of Mathematics Lectures by robert langlands. Fall 1999. Notes of Lectures 1, 2, and 3, andvideo (Lecture 1, Lecture 2, Lecture 3); Notes of Lectures 4, 5, and 6, http://www.math.duke.edu/langlands/

The Practice of Mathematics Lectures by Robert Langlands Fall 1999 Notes of Lectures 1, 2, and 3 , and video ( Lecture 1 Lecture 2 Lecture 3 Notes of Lectures 4, 5, and 6 , and video ( Lecture 4 Lecture 5 Lecture 6 Notes of Lectures 6 (con.) and 7 , and video of Lecture 7 Lecture 8: notes , and video Spring 2000 Lectures One and Two: notes and video ( Lecture One and Lecture Two Lecture Three: notes and video Lecture Four: notes and video Lecture Five: notes and video Lecture Six: notes and video Lecture Seven: notes and video Lecture Eight: notes and video The lecture notes are pdf files, and require the Acrobat Reader The videos are in RealVideo G2 format, and require the real.com RealPlayer

38. Math Luminary To Show Old Masters' Modern Magic- The Times Of India MUMBAI For 20 years, the mathematician robert langlands has been using the officethat Albert Einstein used to occupy at the renowned Institute for http://timesofindia.indiatimes.com/articleshow/1015552.cms

var ttrendlogmostviewed=1; var doweshowbellyad=1; THE TIMES OF INDIA document.write(''); CITIES: MUMBAI POWERED BY TIMESCITY.COM Search The Times of India Indiatimes Web Indiatimes The Times of India Cities Mumbai Article Home CLASSIFIEDS Matrimonial Jobs Real Estate Auto ... All Classifieds HOT LINKS ePaper NRI Finance NEWS Politics Cities Ahmedabad Bangalore ... Weather OPINION Columnists Editorial Interview Letters to Editor SUPPLEMENTS Education Times SUNDAY SPECIALS Review Deep Focus Book Mark Culture curry ... Special Report NRI SERVICES Post Print Ads PRINT EDITION Delhi Edition DAILY DOSE Ninan's World News Puzzle Crosswords Astro Predictions ... Newsletters var thestring = 'http://' + location.host + '/login.cms?TferURL=' + escape(window.location.href); document.write('' + 'Sign in'); Sign in to win great prizes Math luminary to show old masters' modern magic TIMES NEWS NETWORK [ WEDNESDAY, FEBRUARY 09, 2005 03:43:59 AM ] Citibank NRI Offer MUMBAI: For 20 years, the mathematician Robert Langlands has been using the office that Albert Einstein used to occupy at the renowned Institute for Advanced Study at Princeton. Does the father of the relativity theory breeze in sometimes at night to work on the unsolved problem of unification of all basic forces of nature on the blackboard?

39. About "The Work Of Robert Langlands" The Work of robert langlands. _ LibraryHome Full Table of Contents Suggest a Link Library Help http://mathforum.org/library/view/17388.html

The Work of Robert Langlands Library Home Full Table of Contents Suggest a Link Library Help Visit this site: http://www.sunsite.ubc.ca/DigitalMathArchive/Langlands/ Author: Mathematics Dept., University of British Columbia, Canada Description: A selection from Langlands' professional correspondence, previously unpublished work, and published work now out of print. Thesis, papers, manuscripts, letters, and bibliography. Levels: College Research Languages: English Resource Types: Articles Preprints Bibliographies Math Topics: Group Theory Number Theory Physics Home ... Help http://mathforum.org/

40. Newsgroups Sci.math From Dg@dgupta.hpl.hp.com (Dipankar Gupta MR 93f20001 2001 langlands, robert P. Representation theory its rise and itsrole in number theory. Proceedings of the Gibbs Symposium (New Haven, CT, http://www.math.niu.edu/~rusin/known-math/94/langlands

Newsgroups: sci.math Subject: Re: Langlands Conjecture Date: 20 Aug 1998 07:51:47 -0400 Cliff

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