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	Robert Langlands' work - miscellaneous
		Langlands' comment: The following brief discourse was delivered in Erlangen in October, 2004, on the occasion of the award of the Karl Georg Christian von Staudt-Preis to Günter Harder.
		Langlands' comment: This note contains a few recollections of a year I spent in Turkey in 1967/68, where my office was adjacent to that of Cahit Arf, known, among other things, for the Hasse-Arf theorem and the Arf invariant.
		Langlands' comment: This review comes with a supplement (footnote) that contains the comments of several leading specialists and will be much more useful to the potential reader of the book, whether a novice or a specialist, than the review itself.
	www.sunsite.ubc.ca /DigitalMathArchive/Langlands/miscellaneous.html (658 words)

	Robert Langlands
		Robert Langlands (born 1936 in Canada) is one of the most significant mathematicians of the 20th century, with profound insights in number theory and representation theory[?].
		Langlands is the author of the Langlands program, a deep web of conjectures connecting number theory and representation theory.
		Langlands understood that the theory of automorphic forms gives a generalization of class field theory, a central topic in algebraic number theory.
	www.ebroadcast.com.au /lookup/encyclopedia/ro/Robert_Langlands.html (321 words)

	Langlands program
		Langlands then generalized these to automorphic cuspidal representations, which are certain infinite dimensional irreducible representations of the general linear group over the adele ring of Q.
		Langlands attached L-functions to these automorphic cuspidal representations, and conjectured that every L-function arising from finite-dimensional representations of the Galois group is equal to one arising from an automorphic cuspidal representation.
		Langlands then formulated a much more general "Functoriality Principle", which relates automorphic representations of different groups (not just the general linear group) over the adele ring of Q, in a way which is compatible with their L-functions.
	www.ebroadcast.com.au /lookup/encyclopedia/la/Langlands_program.html (660 words)

	Robert Langlands - Wikipedia, the free encyclopedia
		Robert Langlands (born October 6, 1936 in Canada) is one of the most significant mathematicians of the 20th century, with profound insights in number theory and representation theory.
		Langlands attended the University of British Columbia as an undergraduate and received his PhD from Yale University in 1960.
		Langlands understood that the theory of automorphic representation offers a generalization of class field theory, a central topic in algebraic number theory.
	en.wikipedia.org /wiki/Robert_Langlands (435 words)

	[No title] (Site not responding. Last check: 2007-10-19)
		Robert Langlands is uniquely qualified to give this talk having known Harish-Chandra closely for more than 20 years as a friend and colleague at the Institute for Advanced Study, Princeton.
		While Harish-Chandra made "Representation Theory" a central area of research in mathematics, Robert Langlands introduced what is now known as the "Langlands Programme", a vast mathematical framework of conjectures which connect representation theory, analysis, geometry and number theory in remarkable ways.
		The Langlands Programme is one of the high watermarks of Twentieth Century mathematics, unrivalled, perhaps, in its scope and breathtaking in its vision.
	www.math.iitb.ac.in /seminar/instcol/langlands-colloq.html (247 words)

	Robert Langlands - Wikipédia
		Il est l'auteur du programme de Langlands, un ensemble dense de conjectures profondes reliant la théorie des nombres et la théorie des représentations.
		Langlands a compris que la théorie des formes automorphes fournit une généralisation de la théorie des corps de classe, sujet central de la théorie algébrique des nombres.
		En 1996, Langlands a reçu le Prix Wolf et le Prix Nemmers en mathématiques en 2006 pour son travail sur le programme de Langlands.
	fr.wikipedia.org /wiki/Robert_Langlands (414 words)

	UCLA Distinguished Lecturers - Robert P. Langlands
		Langlands will review the pertinent notions, argue that mathematicians have overlooked some fascinating and very difficult problems, and make some tentative suggestions about what might be done.
		Robert P. Langlands is one of the greatest mathematicians of our times.
		Langlands was born in New Westminster, British Columbia in Canada in 1936.
	www.math.ucla.edu /dls/2003/langlands.html (280 words)

	Open Questions: The Langlands Program
		This is an archive of many of Langlands' papers and writings, which indicates the general topics of concern in his "program".
		This generalized theory is fundamental to the Langlands program, and is applicable in many other areas as well, such as the theory of Lie groups.
		The essence of the Langlands conjecture is that the possible number fields of degree n are related to and constrained by the irreducible infinite dimensional representations of GL(n).
	www.openquestions.com /oq-ma016.htm (372 words)

	Langlands biography
		Robert P Langlands' father was Robert Langlands while his mother was Kathleen Phelan.
		However Langlands spent 1967-68 visiting in Ankara, Turkey having an office next to that of Cahit Arf.
		While he was in Ankara in 1967-68 he wrote to Serre with ideas which would eventually be formulated as the Deligne-Langlands conjecture; this was proved eventually by Kazhdan and Lusztig.
	www.gap-system.org /~history/Biographies/Langlands.html (803 words)

	Math luminary to show old masters' modern magic-Mumbai-Cities-NEWS-The Times of India (Site not responding. Last check: 2007-10-19)
		Thanks to Langlands' own unifying insights, two vibrant mathematical areasâ” representation theory of Lie groups and number theoryâ” are now seen as intimately entwined, resulting in a burst of creative research.
		Langlands is visiting the Tata Institute of Fundamental Research and is to deliver a public lecture on Wednesday at the Homi Bhabha auditorium on âDescartes and Fermat: Reading the Ancients as Moderns'.
		Langlands, however, is reticent about his own influence in the massive 150-page Fermat proof that Andrew Wiles produced, with help from Cambridge mathematician Richard Taylor.
	timesofindia.indiatimes.com /articleshow/1015552.cms (602 words)

	Not Even Wrong » Blog Archive » Langlands on Langlands
		Langlands ironically characterizes his own review as “the pedantry of… one priggish mathematician”; and I have to say that is pretty accurate.
		When Robert Langlands’s review of Leonard Mlodinow’s book came out, the two opinions I heard most frequently expressed, which coincided with my own, were that a review that is this over the top says more about the reviewer than the book, and that the AMS Notices should never have published it.
		Langlands some good to take a little time off from the Institute for Advanced Study and teach a precalculus course at a large state university.
	www.math.columbia.edu /~woit/wordpress/?p=494 (3232 words)

	Town Topics
		Princeton Township resident, Robert P. Langlands, the Hermann Weyl Professor of Mathematics at the Institute for Advanced Study, has been awarded the $150,000 Frederic Esser Nemmers Prize in Mathematics.
		Born in British Columbia, Canada in 1936, Robert Langlands graduated from the University of British Columbia with a BA in 1957 and an M.Sc.
		Langlands and Hansen will deliver public lectures and participate in other scholarly activities at Northwestern during the fall of 2007.
	www.towntopics.com /mar2206/other5.html (519 words)

	AMS Steele Prize for a Seminal Contribution to Research (Site not responding. Last check: 2007-10-19)
		Robert P. Langlands of the Institute for Advanced Study in Princeton is receiving the 2005 AMS Leroy P. Steele Prize for a Seminal Contribution to Research.
		This is the paper that introduced what are now known as the Langlands conjectures.
		The Langlands conjectures assert deep relations among seemingly unconnected areas of mathematics and provide a unifying principle for investigations in different areas.
	www.ams.org /ams/press/steele-langlands.html (247 words)

	More Information
		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.
		Moreover, the Langlands dual group that is essential in the formulation of the Langlands correspondence also plays a prominent role in the S-dualities that are ubiquitous in physics (and was in fact rediscovered by physicists P. Goddard, J. Nuyts and D. Olive).
	www2.math.northwestern.edu /langlands/index_moreinfo.htm (403 words)

	Robert Langlands' work - main page
		Robert P. Langlands was born in New Westminster, British Columbia, in 1936.
		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.
	www.sunsite.ubc.ca /DigitalMathArchive/Langlands (552 words)

	News: Math Department, WCAS, Northwestern University
		Robert P. Langlands has been named the winner of the Frederic Esser Nemmers Prize in Mathematics for 2006 by Northwestern University.
		Robert Langlands is best known for the fundamental research program which bears his name.
		This program is dedicated to the investigation of the geometric Langlands, its relationship to other areas of mathematics, and its relationship to physics.
	www.math.northwestern.edu /news/index.html (309 words)

	Langlands
		In 1988 Langlands received the National Academy of Sciences Award in Mathematics.
		Deligne-Langlands conjecture; this was proved eventually by Kazhdan and Lusztig.
		He has received honorary doctorates from the University of British Columbia, McMaster University, The City University of New York, the University of Waterloo, the University of Paris VII, McGill University, and the University of Toronto.
	www.educ.fc.ul.pt /icm/icm2003/icm14/Langlands.htm (775 words)

	ZoomInfo Web Summary: Robert Langlands
		Robert Langlands, Sur la percolation, le modèle d'Ising et le groupe symétrique Thursday, 16 January, 2004.
		Professor Langlands is the Hermann Weyl Professor of Mathematics at the prestigious Institute for Advanced Studies (IAS) in Princeton.
		Langlands studied at UBC in Vancouver, BC (BA, 1957; MA, 1958) and Yale University, New Haven, Connecticut (PhD 1960) and has received several honorary degrees.
	www.zoominfo.com /Search/PersonDetail.aspx?PersonID=192785329 (548 words)

	LAFFORGUE, LAURENT - CIRS
		It was formulated by Robert Langlands at the end of the 1960's.
		For that purpose, he built varieties similar to modular curves and showed certain cases of the conjecture of Langlands in rank 2.
		This turned out to make the general case accessible, after formidable technical difficulties were surmounted.The crucial contribution by Laurent Lafforgue to solve this question is the construction of compactifications of certain varieties of modules.
	www.cirs-tm.org /Chercheurs/chercheurs1.php?id=297 (342 words)

	Math = beauty + truth / (really hard) - Salon
		Robert Langlands conjectured that two very different animals are intimately connected.
		Langlands' conjecture, described as a "Rosetta stone" of mathematics, was formalized into the Langlands Program, a quest that has happily occupied scores of mathematicians for more than 30 years.
		In general, mathematicians believed that Langlands' conjecture was true, but proving it was extremely difficult.
	dir.salon.com /story/tech/feature/2002/09/05/math_prizes/index1.html (728 words)

	ScienceMatters @ Berkeley. Mathematics of Everything
		Frenkel's stomping ground is the Langlands Program, something of a "unifying theory" of mathematics based on symmetries.
		First proposed in 1967 by Robert Langlands of the Institute for Advanced Study, the conjectures boldly linked together seemingly unrelated objects in branches of mathematics like number theory and algebraic geometry.
		As part of the effort, the researchers are applying Langlands' lessons to two of the most cutting-edge research thrusts in physics today--quantum field theory and superstring theory.
	sciencematters.berkeley.edu /archives/volume2/issue12/story3.php (616 words)

	Robert Phelan Langlands \| Science and Its Times: 1950-Present
		Langlands developed a series of conjectures and problems that related seemingly disparate areas of mathematics, including algebra, algebraic geometry, and number theory.
		The known results coming from his conjectures have been very important in linking number theory and representation theory.
		Langlands has received numerous honors and awards, including the Wolf Prize, which he shared with Andrew Wiles in 1995.
	www.bookrags.com /research/robert-phelan-langlands-scit-07123 (93 words)

	Hansen and Langlands win Nemmers prizes (Site not responding. Last check: 2007-10-19)
		Lars Peter Hansen and Robert Langlands are the recipients of the 2006 Nemmers Prizes in economics and mathematics, Northwestern University announced.
		The prizes -- believed to be the largest U.S. monetary awards for outstanding achievements in the two disciplines -- are given to scholars who make major contributions to new knowledge or the development of significant new modes of analysis, university officials said.
		Langlands, a professor of mathematics at the Institute for Advanced Study in Princeton, N.J., was honored for his "fundamental vision connecting representation theory, automorphic forms and number theory."
	www.physorg.com /news11797.html (213 words)

	Fields Institute - Conference on automorphic forms and the trace formula
		The trace formula is a powerful tool and one of the main techniques in attacking Langlands' Functoriality Conjecture and related problems in the Langlands program.
		James Arthur has almost single handedly developed this very complicated machinery since the begining of his career in the early 1970's and his contribution to the modern theory of automorphic forms may be considered as one of the most important.
		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.
	www.fields.utoronto.ca /programs/scientific/04-05/arthurconf (246 words)

	Antwerp Modular Forms Conference Photo 1972
		I think there were more than 3 of the hostesses in yellow dresses, who were called "the daffodils" by many.
		I still have a list of the participants who lived in the students dormitory (with the names of the participants and their rooms).
		Robert van der Waall (now at The University of Amsterdam).
	math.berkeley.edu /~ribet/antwerp_photo (1680 words)

	Introduction to Automorphic Forms, McGill, Winter 2002 (Site not responding. Last check: 2007-10-19)
		They are rather non-technical, and strive to provide you with the "big picture" and motivation for the topics that we will be covering in more depth in the lectures.
		Robert Langlands, Representation Theory: its rise and role in number theory, Proceedings of the Gibbs Symposium, 1989.
		M.R. Murty, A motivated introduction to the Langlands program, in Advances in Number Theory, (eds.
	www.math.mcgill.ca /darmon/courses/01-02/af/af.html (331 words)

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