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CMS NOTES De La SMC CMS NOTES de la SMC Volume 32 No. 6 October / octobre 2000 In this issue / Dans ce numero´ Robert Langlands, An Chevalier de la Salle whose ambition Explorer of the Abstract was to conquer a whole continent. He Editorial ..................... 2 had plans for exploration but no one Interview by Stephane Durand, listened to him. Nevertheless he made Mathematics: Frontiers and CRM important discoveries. I like the feel- Perspectives ................ 3 ing of being before a virgin continent. From the Institutes ........... 5 This interview with Robert Langlands I like problems the solutions of which originally appeared in Math 2000, a require original and unsuspected theo- IMO Alumni Banquet......... 9 special issue of Quebec´ Science pre- ries. In other words, I like mathematics pared by Mr. Durand for the CRM. It which stimulates the imagination. But IMO 2000 in Seoul ............ 11 was conducted in French. I like also the need for simple calcula- *** tions or manipulation of formulas when Upcoming Conferences ....... 11 How do you choose your subjects theory is lacking. of research? Do you believe that mathematics al- Some Ideas for a Good Research I like important theories, especially Talk....................... 13 lows going beyond imagination or in- in mathematics and related subjects. I tuition? have been taken with some of them, but Research Notes ............... 14 without really understanding their ex- In mathematics new ideas are cre- ated in proportion to its progress. Book Review ................. 15 tent, ever since my student days. I keep coming back to them, one or another, These ideas influence our way of think- Education Notes ............. 17 trying to approach them with a little ing and enable our imagination and help from calculations. Sometimes, intuition to grasp many things which Interview with Leslie Lamport 20 but rarely, these calculations lead me elude naive imagination and intuition. to new and useful ideas. How did you come to chose a ca- News from Departments ...... 22 What fascinates you most in math- reer in mathematics? Was this choice ematics: the abstraction, underlying imposed upon you while very young? Call for Nominations / Appel de structures, surprising results, rigor ...? Candidatures .............. 24 It was a surprise for me to do math- It is not the rigor. That is some- ematics! When I was young, I lived in 2000 Endowment Grants Com- thing which asserts itself. Rigorous a small village and worked with my fa- petition / Concours de proofs are given because they are nec- ther, who was a carpenter and cabinet bourses du fonds de dotation essary. What I like is the romantic maker. I tried to follow this trade and 2000 ...................... 25 side of mathematics. There are prob- normally I would also have become a lems, even some great ones, which no carpenter, but I was not gifted! So I had Calendar of events / Calendrier one knows how to approach. One tries to find something else. And I was led des ev´ enements´ ............. 31 to find, then, a path that leads to the by chance to mathematics. summit or even allows an approach to Rates and Deadlines / Tarifs et it. There is a comparison that I like Ech´ eances´ ................. 32 very much. Among my heroes is the (see LANGLANDS–page 12) OCTOBER/OCTOBRE CMS NOTES EDITORIAL problem for the new century–and the new millenium! CMS NOTES ***** NOTES DE LA SMC The CMS Notes is published by «Les mathématiques sont le latin des the Canadian Mathematical Society temps modernes», écrivait Robert Ful- (CMS) eight times a year (February, ford dans un article du National Post March, April, May, September, Oc- l’été dernier. «C’est la langue interna- tober, November, and December). tionale des travaux essentiels. Nous qui sommes étrangers aux mathématiques Editors-in-Chief sommes condamnés à assister pas- Peter Fillmore; S. Swaminathan sivement au déroulement des grandes scènes de notre époque au lieu d’y pren- Managing Editor Peter Fillmore dre part.» Voilà qui fait plaisir à enten- Robert W. Quackenbush dre, même si l’on se rend compte plus Contributing Editors “Think of mathematics as the Latin of loin que l’auteur songeait surtout au modern times”, so advises Robert Ful- World Wide Web en écrivant ces lignes. Education : Edward Barbeau ford in a National Post column this past Fulford nous apprend un fait intéres- [email protected] summer. “It’s the international lan- sant lu dans l’autobiographie publiée Meetings : Monique Bouchard guage of vital work. We who know en 1999 de Tim Berners-Lee, le père [email protected] nothing of mathematics are fated to be du Web : ses parents, mathématiciens Research: Noriko Yui; more spectators than participants at the à l’Université de Manchester, ont par- James D. Lewis central dramas of our times.” This is ticipé à la conception du premier ordi- [email protected] music to our ears, but on reading fur- nateur commercial. Editorial Assistant ther we find he is thinking mainly of Une telle reconnaissance est tout de Caroline Baskerville the world wide web. Fulford tells us même agréable, car elle semble indi- something about the 1999 autobiogra- quer que nos efforts collectifs à pro- The Editors welcome articles, letters phy of the man “who devised it”, Tim mouvoir l’importance de notre disci- and announcements, which should Berners-Lee. His parents, mathemati- pline en cette année internationale des be sent to the CMS Notes at: cians at Manchester University, worked mathématiques commencent à porter Canadian Mathematical Society on the first commercial computer. fruit. 577 King Edward Still, such public recognition is Nos responsabilités profession- P.O. Box 450, Station A gratifying, and may indicate that our nelles ne se limitent pas aux mathé- Ottawa, Ontario, Canada K1N 6N5 collective efforts in this World Math- matiques elles-mêmes, mais à l’intérêt Telephone: (613) 562-5702 ematical Year to publicize the impor- général de l’enseignement supérieur. Facsimile: (613) 565-1539 tance of mathematics are beginning to Nous pouvons là aussi nous réjouir, car E-mail: [email protected] bear fruit. nous assistons à une augmentation du [email protected] Our professional responsibilities financement fédéral consacré aux in- Web site: www.cms.math.ca extend beyond mathematics, to the well-being of higher education gener- frastructures et aux salaires. Il y a No responsibility for views expressed by ally. Here again there is cause for satis- aussi de quoi s’inquiéter, par contre, authors is assumed by the Notes, the ed- faction, in the increased federal support car ces programmes n’ont pas été créé itors or the CMS. The style files used in for infrastructure and salaries. There is à la suite d’un débat public construc- the production of this volume are a mod- cause for concern as well, in that these tif, mais plutôt d’un étrange proces- ified version of the style files produced programmes were not created as a re- sus politique. Il n’est pas impossible by Waterloo Maple Software, c 1994, sult of informed public debate. They que ces cadeaux, d’un gouvernement 1995. emerged from a murkier political pro- d’apparence avisé et bienfaisant, dis- cess, and we may reflect that gifts of paraissent tout aussi m ystérieusement ISSN: 1193-9273 a seemingly wise and beneficient gov- qu’ils sont arrivés. ernment may as mysteriously be with- Pourquoi le rôle des mathématiques drawn. est-il si méconnu du public? Voilà un c Canadian Mathematical Society 2000 Why is the role of mathematics so problème de classe pour le nouveau siè- hidden from public view? Here is a cle... et le nouveau millénaire! 2 NOTES de la SMC OCTOBER/OCTOBRE Mathematics: Frontiers and Perspectives This is the title of a remarkable book produced under the aus- or topological groups). Eventually, the latter part of the 20th pices of the International Mathematical Union as part of the century saw a return to a less constrained view of mathemat- World Mathematical Year 2000 activities. In this issue of the ics, more in the spirit of Poincare´ (as expounded by Arnold), NOTES we present excerpts from Sir Michael Atiyah’s preface with its emphasis on geometrical thinking, even in areas such to the volume, followed bt brief quotations from a number of as algebra or number theory. It is worth noting that topol- the essays making up the book. ogy does not figure among the list of Hilbert’s problems, but Poincare,´ in his address to the 1908 Congress, highlighted it (or analysis situs as it was then called) as an important area for the future. It was widely recognised that no single person could now hope to emulate Hilbert by producing a corresponding list of problems. This is not just undue modesty on the part of contemporary mathematicians. It is more a sober reflection on the enormous range and diversity of mathematics in the year 2000. This volume is therefore a collective effort, but the result is not simply a longer list of problems. Different mathematicians have responded in different ways to the chal- lenge. Some have tried to follow the Hilbert paradigm, but restricted themselves to covering a smaller area (e.g., Jones, Smale, Yau). Others write more from a personal or philo- sophical viewpoint (Kirwan, Manin, Ruelle) or review likely developments in certain areas (Baker-Wusholtz, Donaldson, McDuff, Wiles). Some concentrate on more detailed prob- lems in depth (Connes, Kazhdan, Mazur), and it is notewor- thy that Connes reformulates the Riemann Hypothesis (one of Hilbert’s problems) with the full machinery of 20th century Sir Michael Atiyah mathematics. In addition to many articles on theoretical physics, there Hilbert’s problems have stood the test of time remark- are a few on other important areas of applied mathematics ably well.
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