Bibliography

Total Page:16

File Type:pdf, Size:1020Kb

Bibliography Bibliography Arens, Richard, and James Dugundji. 1951. Topologies for function spaces. Pacific Journal of Math- ematics 1 (1): 5–31. Brown, Ronald. 1964. Function spaces and product topologies. The Quarterly Journal of Mathemat- ics 15 (1): 238–250. Brown, Ronald. 2006. Topology and groupoids, 3rd ed. BookSurge. Cartan, Henri. 1937a. Filtres et ultrafiltres. Comptes rendus de l’Academie´ des Sciences 205: 777– 779. Cartan, Henri. 1937b. Theorie´ des filtres. Comptes rendus de l’Academie´ des Sciences 205: 595–598. Chernoff, Paul R. 1992. A simple proof of Tychonoff’s theorem via nets. American Mathematical Monthly 99 (10): 932–934. Day, B. J., and G. M. Kelly. 1970. On topological quotient maps preserved by pullbacks or products. Mathematical Proceedings of the Cambridge Philosophical Society 67 (3): 553–558. doi:10.1017/S0305004100045850. Dyson, Freeman. 2009. Birds and frogs. Notices of the American Mathematical Society 56: 212–223. Eilenberg, Samuel. 1949. On the problems of topology. Annals of Mathematics 50 (2): 247–260. Eilenberg, Samuel, and Saunders MacLane. 1945. Relations between homology and homotopy groups of spaces. Annals of Mathematics 46 (3): 480–509. Escardo,´ Mart´ın, and Reinhold Heckmann. 2002. Topologies on spaces of continuous functions. Topology Proceedings 26: 545–564. Fox, Ralph H. 1945. On topologies for function spaces. Bulletin of the American Mathematical Society 51 (6): 429–432. Freitas, Jorge Milhazes. 2007. An interview with F. William Lawvere - part one. CIM Bulletin (De- cember). http://www.cim.pt/docs/82/pdf. Freyd, Peter. 1969. Several new concepts: Lucid and concordant functors, pre-limits, pre- completeness, the continuous and concordant completions of categories. In Category Theory, Ho- mology Theory and Their Applications III, ed. P. J. Hilton, 196–241. Springer. Golomb, Solomon W. 1959. A connected topology for the integers. The American Mathematical Monthly 66 (8): 663–665. 150 Bibliography Grothendieck, Alexander. 1997. Sketch of a programme (translation into English). In Geometric Galois Actions, Vol. 1: Around Grothendieck’s Esquisse d’un Programme, eds. L. Schneps and P. Lochak. London Mathematical Society Lecture Notes No. 242: 243–283. Hatcher, Allen. 2002. Algebraic topology. Cambridge University Press. Hausdorff, Felix, and John R. Aumann. 1914. Grundzuge¨ der mengenlehre. Veit. Isbell, John R. 1975. Function spaces and adjoints. Mathematica Scandinavica 36 (2): 317–339. http://www.jstor.org/stable/24491137. Jackson, Allyn. 1999. Interview with Henri Cartan. Notices of the American Mathematical Society 46 (7): 782–788. Kadets, Mikhail Iosifovich. 1967. Proof of the topological equivalence of all separable infinite-dimensional banach spaces. Functional Analysis and Its Applications 1 (1): 53–62. http://dx.doi.org/10.1007/BF01075865. Kelley, John. 1950. The Tychonoff product theorem implies the axiom of choice. Fundamenta Math- ematicae 37 (1): 75–76. Kelley, John. 1955. General topology. Van Nostrand. Leinster, Tom. 2013. Codensity and the ultrafilter monad. Theory and Applications of Category The- ory 28 (13): 332–370. Lewis, Lemoine Gaunce. 1978. The stable category and generalized Thom spectra. PhD diss., Uni- versity of Chicago.. Lipschutz, Seymour. 1965. Schaum’s outline of theory and problems of general topology. McGraw- Hill. Mac Lane, Saunders. 2013. Categories for the working mathematician. Vol. 5 of Graduate Texts in Mathematics. Springer. Manes, E. 1969. A triple theoretic construction of compact algebras. Seminar on Triples and Cate- gorical Homology Theory 80: 73–94. Massey, William S. 1991. A basic course in algebraic topology. Springer. May, J. P. 1999. A concise course in algebraic topology. University of Chicago Press. May, J. P. 2000. An outline summary of basic point set topology. Miscellaneous math notes, J. P. May (website), University of Chicago. http://www.math.uchicago.edu/∼may/MISC/Topology.pdf. McCord, M. C. 1969. Classifying spaces and infinite symmetric products. Transactions of the Amer- ican Mathematical Society 146: 273–298. Mercer, Idris David. 2009. On Furstenberg’s proof of the infinitude of primes. The American Mathe- matical Monthly 116 (4): 355–356. Moore, Eliakim Hastings. 1915. Definition of limit in general integral analysis. Proceedings of the National Academy of Sciences 1 (12): 628–632. Moore, Eliakim Hastings, and Herman Lyle Smith. 1922. A general theory of limits. American Jour- nal of Mathematics 44 (2): 102–121. Munkres, James R. 2000. Topology. Prentice Hall. Nandakumar, R., and N. Ramana Rao. 2012. Fair partitions of polygons: An elementary introduction. Proceedings—Mathematical Sciences 122 (3): 459–467. Bibliography 151 Render, Hermann. 1993. Nonstandard topology on function spaces with applications to hyperspaces. Transactions of the American Mathematical Society 336 (1): 101–119. Riehl, E. 2014. Categorical homotopy theory. Cambridge University Press. Riehl, E. 2016. Category theory in context, 1st ed. Dover. Rotman, Joseph J. 1998. An introduction to algebraic topology. Springer. Schechter, Eric. 1996. Handbook of analysis and its foundations, 1st ed. Academic Press. Shimrat, M. 1956. Decomposition spaces and separation properties. The Quarterly Journal of Math- ematics 7 (1): 128–129. Spivak, David I. 2014. Category theory for the sciences. MIT Press. Stacey, Andrew, David Corfield, David Roberts, Mike Shulman, Toby Bartels, Todd Trimble, and Urs Schreiber. 2019. nLab (wiki-lab). https://ncatlab.org. Steen, Lynn Arthur, and J. Arthur Seebach. 1995. Counterexamples in topology. Dover. Steenrod, Norman E. 1967. A convenient category of topological spaces. Michigan Mathematical Journal 14 (2): 133–152. Strickland, Neil P. 2009. The category of CGWH spaces. Preprint, University of Sheffield. https://neil-strickland.staff.shef.ac.uk/courses/homotopy/cgwh.pdf. Strøm, A. 1972. The homotopy category is a homotopy category. Archiv der Mathematik 23 (1): 435–441. tom Dieck, Tammo. 2008. Algebraic topology. European Mathematical Society. Wikipedia. 2019. Word problem for groups. Updated November 6, 2019. https://en.wikipedia.org/wiki/Word problem for groups. Wilansky, Albert. 1967. Between T1 and T2. The American Mathematical Monthly 74 (3): 261–266. Willard, Stephen. 1970. General topology. Courier Corporation. Wittgenstein, Ludwig. 1922. Tractatus Logico-Philosophicus. Routledge and Kegan Paul. Ziegler, Gunter M. 2015. Cannons at sparrows. Newsletter of the European Mathematical Society 1 (95): 25–31..
Recommended publications
  • A Tribute to Henri Cartan
    A Tribute to Henri Cartan This collection of articles paying tribute to the mathematician Henri Cartan was assembled and edited by Pierre Cartier, IHÉS, and Luc Illusie, Université Paris-Sud 11, in consultation with Jean-Pierre Serre, Collège de France. The collection begins with the present introductory article, which provides an overview of Cartan's work and a short contribution by Michael Atiyah. This overview is followed by three additional articles, each of which focuses on a particular aspect of Cartan's rich life. —Steven G. Krantz This happy marriage, which lasted until his death Jean-Pierre Serre (followed, a few months later, by that of his wife), Henri Cartan produced five children: Jean, Françoise, Étienne, 8 July 1904–13 August 2008 Mireille, and Suzanne. In September 1939, at the beginning of the Henri Cartan was, for many of the younger gen- war, he moved to Clermont-Ferrand, where the eration, the symbol of the resurgence of French University of Strasbourg had been evacuated. A mathematics after World War II. He died in 2008 year later he got a chair at the Sorbonne, where he at the age of 104 years. was given the task of teaching the students of the Personal Life ENS. This was a providential choice that allowed the “normaliens” (and many others) to benefit for Henri was the eldest son of the mathematician more than twenty-five years (1940–1965) from Élie Cartan (1869–1951), born in Dolomieu (Isère), his courses and seminars. In fact there was a two- and of his wife Marie-Louise Bianconi, of Corsican year interruption when he returned to Strasbourg origin.
    [Show full text]
  • Creating New Concepts in Mathematics: Freedom and Limitations. the Case of Category Theory
    Creating new concepts in mathematics: freedom and limitations. The case of Category Theory Zbigniew Semadeni Institute of Mathematics, University of Warsaw Abstract In the paper we discuss the problem of limitations of freedom in mathematics and search for criteria which would differentiate the new concepts stemming from the historical ones from the new concepts that have opened unexpected ways of thinking and reasoning. We also investigate the emergence of category theory (CT) and its origins. In particular we explore the origins of the term functor and present the strong evidence that Eilenberg and Carnap could have learned the term from Kotarbinski´ and Tarski. Keywords categories, functors, Eilenberg-Mac Lane Program, mathematical cognitive transgressions, phylogeny, platonism. CC-BY-NC-ND 4.0 • 1. Introduction he celebrated dictum of Georg Cantor that “The essence of math- Tematics lies precisely in its freedom” expressed the idea that in mathematics one can freely introduce new notions (which may, how- Philosophical Problems in Science (Zagadnienia FilozoficzneNo w Nauce) 69 (2020), pp. 33–65 34 Zbigniew Semadeni ever, be abandoned if found unfruitful or inconvenient).1 This way Cantor declared his opposition to claims of Leopold Kronecker who objected to the free introduction of new notions (particularly those related to the infinite). Some years earlier Richard Dedekind stated that—by forming, in his theory, a cut for an irrational number—we create a new number. For him this was an example of a constructed notion which was a free creation of the human mind (Dedekind, 1872, § 4). In 1910 Jan Łukasiewicz distinguished constructive notions from empirical reconstructive ones.
    [Show full text]
  • Arxiv:1003.6025V1 [Math.HO] 31 Mar 2010 Karl Stein (1913-2000)
    Karl Stein (1913-2000) Alan Huckleberry Karl Stein was born on the first of January 1913 in Hamm in Westfalen, grew up there, received his Abitur in 1932 and immediately thereafter be- gan his studies in M¨unster. Just four years later, under the guidance of Heinrich Behnke, he passed his Staatsexam, received his promotion and became Behnke’s assistant. Throughout his life, complex analysis, primarily in higher dimensions (“mehrere Ver¨anderliche”), was the leitmotif of Stein’s mathematics. As a fresh Ph.D. in M¨unster in 1936, under the leadership of the master Behnke, he had already been exposed to the fascinating developments in this area. The brilliant young Peter Thullen was proving fundamental theorems, Henri Cartan had visited M¨unster, and Behnke and Thullen had just writ- ten the book on the subject. It must have been clear to Stein that this was the way to go. Indeed it was! The amazing phenomenon of analytic continuation in higher dimensions had already been exemplified more than 20 years be- fore in the works of Hartogs and E. E. Levi. Thullen’s recent work had gone much further. In the opposite direction, Cartan and Thullen had arXiv:1003.6025v1 [math.HO] 31 Mar 2010 proved their characterization of domains in Cn which admit a holomor- phic function which can not be continued any further. Behnke himself was also an active participant in mathematics research, always bringing new ideas to M¨unster. This was indeed an exciting time for the young researcher, Karl Stein. Even though the pest of the Third Reich was already invading academia, Behnke kept things going for as long as possible.
    [Show full text]
  • Ralph Martin Kaufmann Publications 1. Kaufmann, Ralph
    Ralph Martin Kaufmann Department of Mathematics, Purdue University 150 N. University Street, West Lafayette, IN 47907{2067 Tel.: (765) 494-1205 Fax: (765) 494-0548 Publications 1. Kaufmann, Ralph M., Khlebnikov, Sergei, and Wehefritz-Kaufmann, Birgit \Local models and global constraints for degeneracies and band crossings" J. of Geometry and Physics 158 (2020) 103892. 2. Galvez-Carillo, Imma, Kaufmann, Ralph M., and Tonks, Andrew. \Three Hopf algebras from number theory, physics & topology, and their common background I: operadic & simplicial aspects" Comm. in Numb. Th. and Physics (CNTP), vol 14,1 (2020), 1-90. 3. Galvez-Carillo, Imma, Kaufmann, Ralph M., and Tonks, Andrew. \Three Hopf algebras from number theory, physics & topology, and their common background II: general categorical formulation" Comm. in Numb. Th. and Physics (CNTP), vol 14,1 (2020), 91-169. 4. Kaufmann, Ralph M. \Lectures on Feynman categories", 2016 MATRIX annals, 375{438, MATRIX Book Ser., 1, Springer, Cham, 2018. 5. Kaufmann, Ralph M. and Kaufmann-Wehfritz, B. Theoretical Properties of Materials Formed as Wire Network Graphs from Triply Periodic CMC Surfaces, Especially the Gyroid in: \The Role of Topology in Materials", Eds: Gupta, S. and Saxena, A., Springer series in Solid State Sciences. Springer, 2018 6. Kaufmann, Ralph and Lucas, Jason. \Decorated Feynman categories". J. of Noncommutative Geometry, 1 (2017), no 4 1437-1464 7. Berger, C. and Kaufmann R. M. \Comprehensive Factorization Systems". Special Issue in honor of Professors Peter J. Freyd and F.William Lawvere on the occasion of their 80th birthdays, Tbilisi Mathematical Journal 10 (2017), no. 3,. 255-277 8. Kaufmann, Ralph M.
    [Show full text]
  • An Interview with F. William Lawvere
    An Interview with F. William Lawvere You have written a paper, published for the first time in 1986, entitled \Taking categories seriously"1. Why should we take categories seriously ? In all those areas where category theory is actively used the categorical concept of adjoint functor has come to play a key role. Such a universal instrument for guiding the learning, development, and use of advanced mathematics does not fail to have its indications also in areas of school and college mathematics, in the most basic relationships of space and quantity and the calculations based on those relationships. By saying \take categories seriously", I meant that one should seek, cultivate, and teach helpful examples of an elementary nature. The relation between teaching and research is partly embodied in simple general concepts that can guide the elaboration of examples in both. No- tions and constructions, such as the spectral analysis of dynamical systems, have important aspects that can be understood and pursued without the complications of limiting the models to specific classical categories. The application of some simple general concepts from category theory can lead from a clarification of basic con- structions on dynamical systems to a F. William Lawvere (Braga, March 2007) construction of the real number system with its structure as a closed cate- gory; applied to that particular closed category, the general enriched category theory leads inexorably to embedding the- orems and to notions of Cauchy completeness, rotation, convex hull, radius, and 1Revista Colombiana de Matematicas 20 (1986) 147-178. Reprinted in Repr. Theory Appl. Categ. 8 (2005) 1-24 (electronic).
    [Show full text]
  • Interview with Henri Cartan, Volume 46, Number 7
    fea-cartan.qxp 6/8/99 4:50 PM Page 782 Interview with Henri Cartan The following interview was conducted on March 19–20, 1999, in Paris by Notices senior writer and deputy editor Allyn Jackson. Biographical Sketch in 1975. Cartan is a member of the Académie des Henri Cartan is one of Sciences of Paris and of twelve other academies in the first-rank mathe- Europe, the United States, and Japan. He has re- maticians of the twen- ceived honorary doc- tieth century. He has torates from several had a lasting impact universities, and also through his research, the Wolf Prize in which spans a wide va- Mathematics in 1980. riety of areas, as well Early Years as through his teach- ing, his students, and Notices: Let’s start at the famed Séminaire the beginning of your Cartan. He is one of the life. What are your founding members of earliest memories of Bourbaki. His book Ho- mathematical inter- mological Algebra, writ- est? ten with Samuel Eilen- Cartan: I have al- berg and first published ways been interested Henri Cartan’s father, Élie Photograph by Sophie Caretta. in 1956, is still in print in mathematics. But Cartan. Henri Cartan, 1996. and remains a standard I don’t think it was reference. because my father The son of Élie Cartan, who is considered to be was a mathematician. I had no doubt that I could the founder of modern differential geometry, Henri become a mathematician. I had many teachers, Cartan was born on July 8, 1904, in Nancy, France. good or not so good.
    [Show full text]
  • Fundamental Theorems in Mathematics
    SOME FUNDAMENTAL THEOREMS IN MATHEMATICS OLIVER KNILL Abstract. An expository hitchhikers guide to some theorems in mathematics. Criteria for the current list of 243 theorems are whether the result can be formulated elegantly, whether it is beautiful or useful and whether it could serve as a guide [6] without leading to panic. The order is not a ranking but ordered along a time-line when things were writ- ten down. Since [556] stated “a mathematical theorem only becomes beautiful if presented as a crown jewel within a context" we try sometimes to give some context. Of course, any such list of theorems is a matter of personal preferences, taste and limitations. The num- ber of theorems is arbitrary, the initial obvious goal was 42 but that number got eventually surpassed as it is hard to stop, once started. As a compensation, there are 42 “tweetable" theorems with included proofs. More comments on the choice of the theorems is included in an epilogue. For literature on general mathematics, see [193, 189, 29, 235, 254, 619, 412, 138], for history [217, 625, 376, 73, 46, 208, 379, 365, 690, 113, 618, 79, 259, 341], for popular, beautiful or elegant things [12, 529, 201, 182, 17, 672, 673, 44, 204, 190, 245, 446, 616, 303, 201, 2, 127, 146, 128, 502, 261, 172]. For comprehensive overviews in large parts of math- ematics, [74, 165, 166, 51, 593] or predictions on developments [47]. For reflections about mathematics in general [145, 455, 45, 306, 439, 99, 561]. Encyclopedic source examples are [188, 705, 670, 102, 192, 152, 221, 191, 111, 635].
    [Show full text]
  • EMS Newsletter September 2012 1 EMS Agenda EMS Executive Committee EMS Agenda
    NEWSLETTER OF THE EUROPEAN MATHEMATICAL SOCIETY Editorial Obituary Feature Interview 6ecm Marco Brunella Alan Turing’s Centenary Endre Szemerédi p. 4 p. 29 p. 32 p. 39 September 2012 Issue 85 ISSN 1027-488X S E European M M Mathematical E S Society Applied Mathematics Journals from Cambridge journals.cambridge.org/pem journals.cambridge.org/ejm journals.cambridge.org/psp journals.cambridge.org/flm journals.cambridge.org/anz journals.cambridge.org/pes journals.cambridge.org/prm journals.cambridge.org/anu journals.cambridge.org/mtk Receive a free trial to the latest issue of each of our mathematics journals at journals.cambridge.org/maths Cambridge Press Applied Maths Advert_AW.indd 1 30/07/2012 12:11 Contents Editorial Team Editors-in-Chief Jorge Buescu (2009–2012) European (Book Reviews) Vicente Muñoz (2005–2012) Dep. Matemática, Faculdade Facultad de Matematicas de Ciências, Edifício C6, Universidad Complutense Piso 2 Campo Grande Mathematical de Madrid 1749-006 Lisboa, Portugal e-mail: [email protected] Plaza de Ciencias 3, 28040 Madrid, Spain Eva-Maria Feichtner e-mail: [email protected] (2012–2015) Society Department of Mathematics Lucia Di Vizio (2012–2016) Université de Versailles- University of Bremen St Quentin 28359 Bremen, Germany e-mail: [email protected] Laboratoire de Mathématiques Newsletter No. 85, September 2012 45 avenue des États-Unis Eva Miranda (2010–2013) 78035 Versailles cedex, France Departament de Matemàtica e-mail: [email protected] Aplicada I EMS Agenda .......................................................................................................................................................... 2 EPSEB, Edifici P Editorial – S. Jackowski ........................................................................................................................... 3 Associate Editors Universitat Politècnica de Catalunya Opening Ceremony of the 6ECM – M.
    [Show full text]
  • GRASSMANN's DIALECTICS and CATEGORY THEORY in Several
    F. WILLIAM LAWVERE GRASSMANN'S DIALECTICS AND CATEGORY THEORY PROGRAMMATIC OUTLINE In several key connections in his foundations of geometrical algebra, Grassmann makes significant use of the dialectical philosophy of 150 years ago. Now, after fifty years of development of category theory as a means for making explicit some nontrivial general arguments in geometry, it is possible to recover some of Grassmann's insights and to express these in ways comprehensible to the modem geometer. For example, the category J/. of affine-linear spaces and maps (a monument to Grassmann) has a canonical adjoint functor to the category of (anti)commutative graded algebras, which as in Grassmann's detailed description yields a sixteen-dimensional algebra when applied to a three­ dimensional affine space (unlike the eight-dimensional exterior algebra of a three-dimensional vector space). The natural algebraic structure of these algebras includes a boundary operator d which satisfies the (signed) Leibniz rule; for example, if A, B are points of the affine space then the product AB is the axial vector from A to B which the boundary degrades to the corresponding translation vector: d(AB) = B-A (since dA = dB = I for points). Grassmann philosophically motivated a notion of a "simple law of change," but his editors in the 1890' s found this notion incoherent and decided he must have meant mere translations. However, translations are insufficient for the foundational task of deciding when two formal products are geometrically equal axial vectors. But if "Iaw of change" is understood as an action of the additive monoid of time, "simple" turns out to mean that the action is internal to the category J/.
    [Show full text]
  • From Riemann Surfaces to Complex Spaces Reinhold Remmert∗
    From Riemann Surfaces to Complex Spaces Reinhold Remmert∗ We must always have old memories and young hopes Abstract This paper analyzes the development of the theory of Riemann surfaces and complex spaces, with emphasis on the work of Rie- mann, Klein and Poincar´e in the nineteenth century and on the work of Behnke-Stein and Cartan-Serre in the middle of this cen- tury. R´esum´e Cet article analyse le d´eveloppement de la th´eorie des surfaces de Riemann et des espaces analytiques complexes, en ´etudiant notamment les travaux de Riemann, Klein et Poincar´eauXIXe si`ecle et ceux de Behnke-Stein et Cartan-Serre au milieu de ce si`ecle. Table of Contents 1. Riemann surfaces from 1851 to 1912 1.1. Georg Friedrich Bernhard Riemann and the covering principle 1.1∗. Riemann’s doctorate 1.2. Christian Felix Klein and the atlas principle 1.3. Karl Theodor Wilhelm Weierstrass and analytic configurations AMS 1991 Mathematics Subject Classification: 01A55, 01A60, 30-03, 32-03 ∗Westf¨alische Wilhelms–Universit¨at, Mathematisches Institut, D–48149 Munster,¨ Deutschland This expos´e is an enlarged version of my lecture given in Nice. Gratias ago to J.-P. Serre for critical comments. A detailed exposition of sections 1 and 2 will appear elsewhere. SOCIET´ EMATH´ EMATIQUE´ DE FRANCE 1998 204 R. REMMERT 1.4. The feud between G¨ottingen and Berlin 1.5. Jules Henri Poincar´e and automorphic functions 1.6. The competition between Klein and Poincar´e 1.7. Georg Ferdinand Ludwig Philipp Cantor and countability of the topology 1.8.
    [Show full text]
  • Leray in Oflag XVIIA: the Origins of Sheaf Theory
    Leray in Oflag XVIIA: The origins of sheaf theory, sheaf cohomology, and spectral sequences Haynes Miller∗ February 23, 2000 Jean Leray (November 7, 1906{November 10, 1998) was confined to an officers’ prison camp (“Oflag”) in Austria for the whole of World War II. There he took up algebraic topology, and the result was a spectacular flowering of highly original ideas, ideas which have, through the usual metamorphism of history, shaped the course of mathematics in the sixty years since then. Today we would divide his discoveries into three parts: sheaves, sheaf cohomology, and spectral sequences. For the most part these ideas became known only after the war ended, and fully five more years passed before they became widely understood. They now stand at the very heart of much of modern mathematics. I will try to describe them, how Leray may have come to them, and the reception they received. 1 Prewar work Leray's first published work, in 1931, was in fluid dynamics; he proved the basic existence and uniqueness results for the Navier-Stokes equations. Roger Temam [74] has expressed the view that no further significant rigorous work on Navier-Stokes equations was done until that of E. Hopf in 1951. The use of Picard's method for proving existence of solutions of differential equa- tions led Leray to his work in topology with the Polish mathematician Juliusz Schauder. Schauder had recently proven versions valid in Banach spaces of two theorems proven for finite complexes by L. E. J. Brouwer: the fixed point theorem and the theorem of invariance of domain.
    [Show full text]
  • 2003 Jean-Pierre Serre: an Overview of His Work
    2003 Jean-Pierre Serre Jean-Pierre Serre: Mon premier demi-siècle au Collège de France Jean-Pierre Serre: My First Fifty Years at the Collège de France Marc Kirsch Ce chapitre est une interview par Marc Kirsch. Publié précédemment dans Lettre du Collège de France,no 18 (déc. 2006). Reproduit avec autorisation. This chapter is an interview by Marc Kirsch. Previously published in Lettre du Collège de France, no. 18 (déc. 2006). Reprinted with permission. M. Kirsch () Collège de France, 11, place Marcelin Berthelot, 75231 Paris Cedex 05, France e-mail: [email protected] H. Holden, R. Piene (eds.), The Abel Prize, 15 DOI 10.1007/978-3-642-01373-7_3, © Springer-Verlag Berlin Heidelberg 2010 16 Jean-Pierre Serre: Mon premier demi-siècle au Collège de France Jean-Pierre Serre, Professeur au Collège de France, titulaire de la chaire d’Algèbre et Géométrie de 1956 à 1994. Vous avez enseigné au Collège de France de 1956 à 1994, dans la chaire d’Algèbre et Géométrie. Quel souvenir en gardez-vous? J’ai occupé cette chaire pendant 38 ans. C’est une longue période, mais il y a des précédents: si l’on en croit l’Annuaire du Collège de France, au XIXe siècle, la chaire de physique n’a été occupée que par deux professeurs: l’un est resté 60 ans, l’autre 40. Il est vrai qu’il n’y avait pas de retraite à cette époque et que les pro- fesseurs avaient des suppléants (auxquels ils versaient une partie de leur salaire). Quant à mon enseignement, voici ce que j’en disais dans une interview de 19861: “Enseigner au Collège est un privilège merveilleux et redoutable.
    [Show full text]