61. Lemniscate To Langlands by robert P. langlands . After Gauss and before langlands came, of course, Abel.For an excellent account of how Abel followed up Gauss s hint on the http://log24.com/log04/0117.htm

From Lemniscate to Langlands Web excerpts compiled by Steven H. Cullinane on January 17, 2004 From The Experimental Mathematician: The Pleasure of Discovery and the Role of Proof by Jonathan M. Borwein From N. H. Abel on Elliptic Functions: Problems of Division and Reduction by Henrik Kragh S rensen Also from S rensen From Algebraic Symmetries I Fall 1999 Lectures on The Practice of Mathematics by Robert P. Langlands After Gauss and before Langlands came, of course, Abel. For an excellent account of how Abel followed up Gauss's hint on the lemniscate, see Henrik Kragh S rensen's Niels Henrik Abel and the Theory of Equations Related material Arithmetic-Geometric Mean (MathWorld) Gauss's Constant (MathWorld) Lemniscate (MathWorld) Lemniscate Function (MathWorld) Lemniscate Constant (MathWorld) Gauss's Lemniscate Constant (Mathsoft) Gauss's Lemniscate Constant References (Mathsoft) Elliptic Curves and Modular Forms (A Classical Introduction) "Abel's Theorem on the Lemniscate," by Michael Rosen, American Mathematical Monthly 88 (1981) No. 6, 387-395 Page created Jan. 17, 2004

62. 21ST CENTURY BRITISH SCULPTURE Video Archive 910000000003 releases publications contact us visiting information working with us.Sixty Minutes with langlands and Bell and robert Hopper Duration 004536 http://www.sculpture.org.uk/video/910000000003

63. 21ST CENTURY BRITISH SCULPTURE Langlands And Bell langlands and Bell Portfolio Turner Prize Exhibition 2004. video. Sixty Minuteswith langlands and Bell and robert Hopper http://www.sculpture.org.uk/artists/LanglandsAndBell

64. Langlands Program - Definition Of Langlands Program In Encyclopedia It was proposed by robert langlands beginning in 1967. ContentsshowTocToggle( show , hide )1 Connection with number theory2 The. http://encyclopedia.laborlawtalk.com/Langlands_program

Add to Favorites General Encyclopedia Legal ... Law forum Search Word: Visit our Law forums Labor Law Accidents Law Bankruptcy Law Business Law ... Tax Law 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 showTocToggle("show","hide") 1 Connection with number theory 2 The setting of automorphic representations 3 A general principle of functoriality 4 Ideas leading up to the Langlands program ... 6 References Connection with number theory The starting point of the program may be seen as the Artin reciprocity law which generalizes quadratic reciprocity . Artin's 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.

65. Crosses L langlands, robert W, Cpl. AIF Cpl. robert W langlands. 2nd/22nd. AIF. Montevideo.1943. langlands, Terrance Edward, 2nd Lt. 2nd Lt. Terrance Edward http://www.gsv.org.au/crosses/CrossesL.htm

The Genealogical Society of Victoria Inc. ABN 86 947 919 608 A0022763D Level B1 257 Collins Street, Melbourne Victoria 3000, Australia Ph: 03 9662 4455 Fax: 03 9663 0841 Email: gsv@gsv.org.au Australia Remembers ­­ Crosses Database A B C D ... Return to GSV homepage LACEY, Alfred William, Age 23 yrs. Died in the Battle Somme, France in 1945. Alfred William Lacey LACEY, Harold, In memory of Harold Lacey. RIP LACEY, Kevin C, Bdr Bdr Kevin C Lacey. New Guinea. RIP LACEY, Raymond George, Raymond George Lacey. Killed in action. Aged 21. Died 1/9/1943 LACHALL, Paul, In memory of Paul Lachall. Lest we forget the heroes of this country who gave the ultimate sacrifice for peace and this country. May the young men of Aust. learn from this experience and help prevent war. LACHMUND, C, God Bless. RIP. C Lachmund. LACK, John Frederick, Army In memory John (Jack) Frederick Lack. VX 39991. 2/29th LACKMANN, Clarence F, Army V 16110 Clarence F Lackmann. Remembered always. LACKMANN, Colin James, Army

66. Horsham; Cemetery Index Frame LANE, LANG, langlands, LANGLEY, LAVERY, LAWES Wife of William (1277); mthrof robert, Ada, Jean, Art, Mervyn Eileen http://members.datafast.net.au/marrtronics/HORSHAMI.HTM

Horsham Cemetery Click on Cemetery Name above to return to the Global Index for the Cemetery INGLETON ISBEL JACKMAN JAEGER ... LYONS INGLETON, Adeline Elizabeth Abt. 1898 21 Aug 1971 Wife of Frederick (3702); mthr of Lindsay (3704) INGLETON, Annie Abt. 1862 10 May 1943 Wife of John (661); mthr of May (663) INGLETON, Arthur Abt. 1888 28 Oct 1922 INGLETON, Clarice Abt. 1896 29 Aug 1961 Wife of John (3074); mthr of Bill INGLETON, Frederick Abt. 1894 18 Dec 1961 Hus of Adeline (3703); fthr of Lindsay (3704) INGLETON, John Abt. 1857 9 Dec 1942 Hus of Annie (662); fthr of May (663) INGLETON, John Abt. 1893 23 Aug 1974 Hus of Clarice (3073); fthr of Bill INGLETON, Lily Abt. 1890 30 Oct 1957 INGLETON, Lindsay F. Abt. 1927 7 Oct 1955 INGLETON, May Abt. 1901 26 Apr 1917 INGLETON, Sarah Jane Abt. 1866 1 Nov 1940 Wife of Thomas (708) INGLETON, Thomas Abt. 1864 21 Jan 1937 Hus of Sarah (709) ISBEL, Frederick Abt. 1851 29 Oct 1934 Hus of Mary (1829) ISBEL, George L. Abt. 1890 22 Feb 1961 Hus of Myrtle (1826) ISBEL, Hilda Abt. 1909 28 Aug 1921 ISBEL, Mary Ann Abt. 1855 7 Mar 1937 Wife of Frederick (1828) ISBEL, Myrtle T.

67. More Information The langlands Program, launched by robert langlands in the late 60 s, ties togetherseemingly unrelated objects in number theory, algebraic geometry, http://www.math.northwestern.edu/langlands/index_moreinfo.htm

Geometric Langlands Program Meetings Papers Lecture Notes Links ... Home This program is dedicated to the investigation of the geometric Langlands, its relationship to other areas of mathematics, and its relationship to physics. The Langlands Program, launched by Robert Langlands in the late 60's, ties together seemingly unrelated objects in number theory, algebraic geometry, and the theory of automorphic functions. The Langlands conjecture predicts that there is a correspondence between n-dimensional representations of the Galois group of a number field and automorphic representations of the group GL(n) over the ring of adeles of this field. This conjecture has an analogue when the number field is replaced by the field of functions on a smooth projective curve defined over a finite field. In this setting, this conjecture has a geometric version, called the geometric Langlands correspondence. The role of the Galois group is now played by the fundamental group of the curve X, and the role of the automorphic representations is played by the so-called Hecke eigensheaves on the moduli spaces of G-bundles on X. This reformulation allows one to consider curves defined over arbitrary fields, such as the field of complex numbers. There is a further generalization of this conjecture where the group GL(n) is replaced by a reductive algebraic group G.

68. Vice-rectorat Exécutif robert P. langlands amorce ses études universitaires à Au fil des ans, robert P. langlands conçoit un programme mathématique qui http://www.rec.ulaval.ca/rectorat/Honneuretdistinctions/docteurshonoriscausa/Not

Discours du recteur et Commissions universitaires Honneurs et distinctions Relations gouvernementales MONSIEUR ROBERT P. LANGLANDS l'Institute for Advanced Study, Yale University Institute for Advanced Study de l' ainsi qu'au Concordia, Laval et McGill.

69. Gut -- ELetters For Langlands Et Al., 53 (11) 1610-1616 goodlad{at}cancer.org.uk?subject=Re%3A+Defective+denominators+2 robert A Goodlad R A. Defective denominators electronic response to langlands SJ, http://gut.bmjjournals.com/cgi/eletters/53/11/1610

HOME HELP FEEDBACK SUBSCRIPTIONS ... SEARCH Author Keyword(s) Vol Page [Advanced] To SUBMIT an e-letter please go to the abstract/full text of the article and click the 'Submit a response' link in the box to the right of the text. For further help click here Electronic Letters to: Probiotics: S J Langlands, M J Hopkins, N Coleman, and J H Cummings Prebiotic carbohydrates modify the mucosa associated microflora of the human large bowel Gut 2004; 53: 1610-1616 [Abstract] [Full text] [PDF] eLetters: Submit a response to this article Electronic letters published: Authors' further reply Nicholas Coleman, John H Cummings (26 January 2005) Defective denominators 2 Robert A Goodlad, Denis Alferez (18 January 2005) Authors' reply Nick Coleman, Sarah Langlands, Mark Hopkins and John Cummings (4 January 2005) Defective denominators Robert A Goodlad (15 December 2004) Authors' further reply 26 January 2005 Nicholas Coleman

70. Wonders Of Numbers John, 4 Kovalevskaya, Sofia, 6971 Kurchan array, 237 La Pileta, 9 langlandsPhilosophy, 76, 311-312 langlands, robert, 86-87 langlands Functoriality, http://sprott.physics.wisc.edu/pickover/noodlead.html

Wonders of Numbers Adventures in Math, Mind, and Meaning Clifford A. Pickover Oxford University Press, 2000 "The prolific Pickover dazzles us once more with his book Wonders of Numbers . This big book of mathematical ideas provides hours, days, months if not years of entertaining numbers, puzzles, problems and novelties to explore. The book runs the gamut with such things as X-File numbers, Mozart numbers, Katydid sequences, and on and on. There's something for everyone's interest." - Theoni Pappas, author of The Joy of Mathematics "Clifford Pickover has written another marvelous book. Through conversations between whimsical Dr. Googol and his pupil Monica, you can test your wits on an incredible variety of unusual mathematical puzzles and games. Along the way there are fascinating historical facts and math gossip to enjoy. You can't help absorbing a great deal of important math as you pick your way through Pickover's delightful pick of fresh, little-known gems of recreational mathematics." - Martin Click here to see the book at Amazon.Com!

71. Queensland Rugby League Scott Sipple, David Baildon, robert Thompson tries; John Wilshere 2 goals; robertThompson field goal. 11, Central, langlands Park, L, 1644 http://queensland.rleague.com/results/2001/stats-eas.php

WORLD OF RUGBY LEAGUE AUSTRALIA BRITAIN NEW ZEALAND ... NETWORK Home Queensland Home News Qld Articles Qld Bulletin Queensland Results Current Results Clubs Origin ... Legends NRL Teams Brisbane Qld Cup Teams Burleigh Central Qld Easts Ipswich ... Wynnum Other Brothers Diehards Hills District Runaway Bay Tugun ... Wests Qld Cup Supporters Grandstand Contacts Matthew Lyne World of Rugby League Queensland Queensland Grandstand ... 2001 Queensland Cup Statistics - East Coast Tigers Overall 2001 Match Record Played W D L B For Agn Diff Rnd Opponent Venue Res Score Wests Purtell Park W Dustin Cooper, Aseri Laing, Robert Thompson, Jason Bulgarelli, Jeff Doyle, Graham Cotter tries; Scott Thorburn 5 goals Burleigh Langlands Park W Brett McPherson try; Scott Thorburn 4 goals Bye B Logan City Meakin Park W Scott Thorburn 2, Jason Bulgarelli, Jason Wendt tries; Scott Thorburn 2 goals Wynnum Langlands Park W Aseri Laing 2, Jamie Tomlinson, John Wilshere, Robert Thompson tries; Scott Thorburn 4 goals Redcliffe Dolphin Oval L John Wilshere try; John Wilshere, Scott Thorburn goals

72. Fields Institute - Conference On Automorphic Forms And The Trace Formula robert langlands, IAS Erez Lapid, The Hebrew University Gerard Laumon, Universityof Paris, Orsay Werner Muller, University of Bonn http://www.fields.utoronto.ca/programs/scientific/04-05/arthurconf/

SCIENTIFIC PROGRAMS AND ACTIVITIES September 5, 2005 Home About Us NPCDS/PNSDC Mathematics Education ... Search Conference on automorphic forms and the trace formula, in honour of James Arthur on the occasion of his 60th birthday October 13-16, 2004 at The Fields Institute Conference organizers: Laurent Clozel, (Paris-South) David Ellwood. (CMI) Robert Kottwitz, (Chicago) Fiona Murnaghan, (Toronto) Freydoon Shahidi, (Purdue) Conference supported by MSRI-network conference Clay Mathematics Institute University of Toronto Mathematics Dept. and The Connaught Committee National Science Foundation Fields Institute Schedule of Talks Audio of talks ... James Arthur Description: The aim of this conference is to report on recent progress made on the Langlands Program with some emphasis on the trace formula approach, celebrating Arthur's contributions. It will consist of approximately 20 hour long lectures presented by leading international researchers in automorphic forms, the Langlands program and the trace formula, as well as related fields of Mathematics. A number of the lectures will be of an expository nature.

73. Fields Institute -Missing Data langlands, robert, Institute of Advanced Study. Lapid, Erez, Hebrew Universityof Jerusalem. Laumon, Gerard, Université ParisSud http://www.fields.utoronto.ca/programs/scientific/04-05/arthurconf/attendees/

SCIENTIFIC PROGRMAS AND ACTIVITIES September 5, 2005 Home About Us NPCDS/PNSDC Mathematics Education ... Search Conference on automorphic forms and the trace formula, in honour of James Arthur on the occasion of his 60th birthday October 13-16, 2004 at The Fields Institute Registered and confirmed attendees as of September 28, 2004 Fullname University/Affiliation Aldana Dominguez, Clara Lucia University of Bonn Asgari, Mahdi Institute for Advanced Study Ballantine, Cristina College of the Holy Cross Bernstein, Joseph Tel Aviv University Blasius, Don University of California, Los Angeles Brenner, Eliot Yale University Casselman, William University of British Columbia Chan, Ping Shun The Ohio State University Chênevert, Gabriel McGill University Chin, CheeWhye Massachusetts Institute of Technology Clozel, Laurent University of Paris South Cogdell, James W. Ohio State University Cunningham, Clifton University of Calgary DeBacker, Stephen University of Michigan Ellwood, David Boston University and CMI Fedorov, Roman University of Chicago Feigon, Brooke

74. Untitled Document Professor robert langlands was the first speaker and gave the first of two talks . After lunch, robert langlands gave his second talk (a continuation of http://www.lms.ac.uk/newsletter/332/332_02.html

REPORTS AND RECORDS OF SOCIETY MEETINGS Contents RECORDS OF PROCEEDINGS AT MEETINGS REGIONAL ORDINARY MEETING held on Friday 17 September 2004 at the University of Exeter. At least 30 members and visitors were present for all or part of the meeting. The meeting began at 3:15 pm, with Professor A.J. SCHOLL, Vice-President, in the Chair. Twelve people were elected to Ordinary Membership: K.J. Costello, C. Elsholtz, A. Golchin, D.W. Hoffman, M.L.P. Kilian, A. Lukyanov, R.C. Miles, P.J. O’Donnell, A.Q.Sami, A.J. Sasane, R.S. Simon and J.P. Wang; two were elected to Associate Membership: A.M. Mills and R.S. Oliver-Jones; and two were elected to Reciprocity Membership: P.B. Barquero-Salavert and N.A. Teicher. The Records of the Proceedings of the Society Meetings held on 12 May, 18 June and 30 June 2004 were signed as a correct record. One member signed the book and was admitted to the Society. Professor A.H.J. DEITMAR introduced a lecture given by Professor R.P. Langlands on ‘The trace formula’s potential as a tool in number theory’. After tea, Professor Deitmar introduced a lecture given by Professor G. Henniart on ‘Extending the Langlands conjectures: p-adic representations of p-adic groups’.

75. GENUKI - Glamis Heads Of Family, 1834 John Greenhill sen, John Johnston, William Gibson, robert McDOnald William Heigh,John langlands, William Gibson, John Doig. John Barnet http://www.genuki.org.uk/big/sct/ANS/Glamis/289phf.html

Glamis Contents Heads of Families in the Parish of Glamis in Communion with the Church of Scotland, December 1834. Glamis Village David Couper James Alexander Archibald Rea James Bunch William Blackadder David Stormonth William Carey Robert Muir David Irons Thomas Donaldson James Johnston Thomas Doig Alexander Stevenson David Penman James Reid David Baillie James Shepherd John Johnston Andrew Robb John Reid William Johnston Donald Coutts George Nicoll James Abbott Henry Ostler William Craig Christian Coutts James Gray David Miller William Donald James McIntyre John Johnston John Robertson John Wright John Greenhill jun David Rankin Thomas Sturrock William Fariweather William Greenhills Robert Stoall Alexander Kidd William Waddell James Horn David Kinnear Peter Heigh John Watson John Bumman John Kinnear James Duncan William McDonald Donald Reach Thomas Winter John Greenhill sen John Johnston William Gibson Robert McDOnald David Laird George Luckie James Bunch James Tough William Heigh John Langlands William Gibson John Doig John Barnet Glen of Ogilvy William Fairweather James Chalmers James Hill Alexander Hill William Stiven John Smith David Ramsay John Glendy William Donaldson Andrew Thom Robert Bowes Samuel Mortimer Alexander Cathro William Chalmers William Fernes James Mortimer James Watt Alexander Chaplin Andrew Suttie James Rea George Smith Andrew Osler John Taylor William Harels James Forbes William Drummond David Nicoll Alexander Chaplin David Couper James Mackie David Gibson Thomas Edward David Donald Peter Meek John Gibson James Laird William Valentine John Gow Alexander Cruikshanks

76. Names Index Page langlands, Peter (ABT 1826ABT 1871) langlands, robert langlands, ShonaElizabeth (ABT 1988-) langlands, Thomas Angus (ABT 1954-) http://www.users.bigpond.net.au/skyring-homestead/html/names5.htm

The SKYRING HOMESTEAD Webpage - http://www.users.bigpond.net.au/skyring-homestead Email - rskyring@bigpond.net.au Family Tree Names KEMP, Ashlea Joy (25 DEC 1987-) KEMP, Denelle Jean (13 JUL 1985-) KEMP, Frazer James (20 AUG 1989-) KEMP, Georgina Mary (10 FEB 1960-) KEMP, James Alexander (4 OCT 1952-) KEMP, Lenise Christine (1 SEP 1983-) KEMP, Lila Ruth (16 JUL 1950-) KEMP, Margaret Irene Coe KEMP, Sarah Marion (18 OCT 1954-) KEMP, Theodore James KEMP, Theodore James (9 OCT 1923-) KEMP, William Stewart KENNEDY, Bianca (5 MAY 1985-) KENNEDY, Ian (9 AUG 1948-) KENNEDY, Peter (16 OCT 1967-) KENNEDY, Robert (26 NOV 2000-) KENNEDY, Stephen KENNEDY, Unknown KENNY, Phyllis May (30 SEP 1904-) KERBY, Jennifer Irene KERMODE, Iris Alisi (31 JAN 1917-20 JUN 1989) KERMODE, Unknown KERR, Geoffrey Malcolm (10 AUG 1973-) KERR, James Michael (15 AUG 1971-) KERR, Malcolm Leslie (18 OCT 1946-) KERRIDGE, Narelle KERRIDGE, Rebecca KERRIDGE, Robert KEYS, Annie (12 APR 1920-1990) KIDDLE, Thomas KILLIP, Olive KING, Elizabeth KING, Samuel ... KINGTON, Judith Anne (17 MAY 1976-) KINGTON, Linda Faye

77. Citebase - Conformal Invariance In Two-dimensional Percolation G/A, 60 robert langlands, PHILIPPE POULIOT, AND YVAN SAINTAUBINF2, Scaling,universality and renormalization group theory, Critical Phenomena (FJW Hahne, http://citebase.eprints.org/cgi-bin/citations?id=oai:arXiv.org:math/9401222

78. Citebase - Critical Percolation In Finite Geometries 58langlands, robert; Pouliot, Philippe; SaintAubin, Yvan (1993-12-31) langlands et al. considered two crossing probabilities, pi_h and pi_{hv}, http://citebase.eprints.org/cgi-bin/citations?id=oai:arXiv.org:hep-th/9111026

79. ½ÅÂøµµ¼­2004³â3¿ù equations satisfied by Eisenstein series 5, langlands, robert P.,1936 Base Change for GL(2) no.96, langlands, robert P.,1936, Princeton Univ. Press http://www.math.snu.ac.kr/lib/html/newly_publish04_03.htm

No P 510 As82 no.289 Regular neighbourhoods and canonical decompositions for grou Scott, Peter(G. Peter) Societe Mathematique de France 510.8 L497 v.504 c.2 Frobenius distributions in GL©ü-extensions : distribution of Lang, Serge,1927- Springer-Verlag 510.8 L497 v.530 Weil s representation and the spectrum of the metaplectic gr Gelbart, Stephen S.,1946 Springer 510.8 L497 v.536 Equations over finite fields an elementary approach 536 Schmidt, Wolfgang M.,1933 Springer 510.8 L497 v.544 On the functional equations satisfied by Eisenstein series 5 Langlands, Robert P.,1936 Springer 510.8 L497 v.548 c.2 The Selberg trace formula for PSL (2, IR) 548, 1001. Hejhal, Dennis A Springer-Verlag 510.8 L497 v.549 Brauer groups 549 Zelinsky, Daniel Springer 510.8 L497 v.569 c.3 Cohomologie e tale SGA 4 1/2 Deligne, Pierre Springer-Verlag 510.8 L497 v.587 c.2 Non commutative harmonic analysis and Lie groups : actes du Colloque d analyse harmonique non commutative,1980 Springer-Verlag 510.8 L497 v.407

80. Langlands, R.P.: Base Change For GL(2). (AM-96). robert P. langlands. Paper 1980 $42.00 / £26.95 ISBN 0691-08272-3 248 pp.Shopping Cart. Series. Annals of Mathematics Studies http://www.pupress.princeton.edu/titles/574.html

SEARCH: Keywords Author Title More Options Power Search Search Hints E-MAIL NOTICES NEW IN PRINT E-BOOKS ... HOME PAGE Base Change for GL(2). (AM-96) Robert P. Langlands 248 pp. Shopping Cart Series: Annals of Mathematics Studies Phillip A. Griffiths, John N. Mather, and Elias M. Stein, Editors Subject Area: Mathematics VISIT OUR MATH WEBSITE Cloth: Not for sale in Japan Paper: Not for sale in Japan Shopping Cart: For customers in the U.S., Canada, Latin America, Asia, and Australia Paper: $42.00 ISBN: 0-691-08272-3 For customers in Europe, Africa, the Middle East, and India Prices subject to change without notice File created: 6/30/2005 Questions and comments to: webmaster@pupress.princeton.edu Princeton University Press

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