L'ouvrage relate les découvertes d'un élève dans le grenier d'un ancien professeur de mathématiques, et le changement dans le regard de l'adolescent que cela occasionnera. Ces découvertes ne vont pas seulement être mathématiques et ludiques, mais aussi toucher beaucoup à la musique, à la photo, au tourisme, et plus généralement à la personnalité et à la psychologie du propriétaire du grenier.
Présence de l'oeuvre de P. Lelong dans les grands thèmes de recherche d'aujourd'hui.- Bibliographic de P. Lelong.- Wiener's type sufficient conditions in ?N.- On the Ohsawa-Takegoshi-Manivel L2 extension theorem.- A geometrical application of the product of two positive currents.- Hypoellipticity: geometrization and speculation.- Moment problems for weighted Bergman kernels.- On the Bergman metric near a plurisubharmonic barrier point.- On the vanishing order of a holomorphic germ along a complex analytic germ in ?n.- Stationary curves and complete integrability in the complex domain.- The Malgrange vanishing theorem with support conditions.- Mesures orthogonales à support compact de longueur finie et applications.- Convexity and Hartogs' theorem in some open subset of a projective manifold.- Pointwise support functions for convex domains of finite type.- Un exemple d'obstruction géométrique à l'extension des fonctions holomorphes bornées.- Potential theory on complex dynamics: regular polynomial mappings of ?k.- Boundaries of Levi-flat hypersurfaces of ?2.- Une démonstration directe de la densité des cycles répulsifs dans l'ensemble de Julia.- Embeddings for...
This volume contains 21 research and survey papers on recent developments in the field of diophantine approximation, which are based on lectures given at a conference at the Erwin Schrödinger-Institute (Vienna, 2003). The articles are either in the spirit of more classical diophantine analysis or of a geometric or combinatorial flavor. Several articles deal with estimates for the number of solutions of diophantine equations as well as with congruences and polynomials.
Includes Liste des membres, 19 -
Devoted to the study of Banach spaces, this book emphasizes connections with classical analysis, harmonic analysis, and probability theory. It is suitable for beginning graduate students. The study is taken from the beginning and then worked out thoroughly, presenting several fundamental results which were obtained during the period 1950-2000: Grothendieck's theorem, Dvoretzky's theorem, Rosenthal's dichotomy theorem, and Gowers's dichotomy theorem, etc., with applications.
A l'époque hellénistique, la réflexion morale s'engage sur des voies nouvelles. Avec les Cyniques comme avec Pyrrhon, puis avec Epicure comme avec les Stoïciens, le bonheur personnel de l'individu devient l'enjeu essentiel du discours philosophique. Or la douleur, sous toutes ses formes, menace ce bonheur dans les divers aspects de la vie. Elle devient, de ce fait, un concept de première importance. Dans le même temps, la philosophie propose un ensemble de techniques visant À maîtriser, voire À annuler la douleur. Pour que le bonheur soit toujours possible, l'individu doit apprendre à connaître cet ennemi, ses causes, ses effets, sa dynamique. Au miroir de sa propre douleur, il se découvre lui-même, par l'exploration de son corps et de son esprit. De nouvelles physiologies révèlent la composition et les mécanismes du corps, de nouvelles psychologies analysent le fonctionnement de la sensibilité et de la pensée. Parties de l'affection immédiate, les diverses expériences proposées par les philosophes débouchent alors sur de nouvelles visions de l'homme et du monde où il vit. En effet, le caractère naturel de nombreuses douleurs met en cause le concept même...
As part of the scientific activity in connection with the 70th birthday of the Adam Mickiewicz University in Poznan, an international conference on algebraic topology was held. In the resulting proceedings volume, the emphasis is on substantial survey papers, some presented at the conference, some written subsequently.
Collected papers of Salomon Bochner, American mathematician, known for work in mathematical analysis, probability theory and differential geometry.
The second of three volumes devoted to the study of the trace formula, these proceedings focus on automorphic representations of higher rank groups. Based on research presented at the 2016 Simons Symposium on Geometric Aspects of the Trace Formula that took place in Schloss Elmau, Germany, the volume contains both original research articles and articles that synthesize current knowledge and future directions in the field. The articles discuss topics such as the classification problem of representations of reductive groups, the structure of Langlands and Arthur packets, interactions with geometric representation theory, and conjectures on the global automorphic spectrum. Suitable for both graduate students and researchers, this volume presents the latest research in the field. Readers of the first volume Families of Automorphic Forms and the Trace Formula will find this a natural continuation of the study of the trace formula.
This volume contains a collection of articles from the meeting of the Canadian Number Theory Association held at the Centre de Recherches Mathematiques (CRM) at the University of Montreal. The book represents a cross section of current research and new results in number theory. Topics covered include algebraic number theory, analytic number theory, arithmetic algebraic geometry, computational number theory, and Diophantine analysis and approximation. The volume contains both research andexpository papers suitable for graduate students and researchers interested in number theory.
Proceedings of a research institute held at Pennsylvania State University, July 1991, focusing on quantum and infinite-dimensional methods of algebraic groups. Topics include perverse sheaves, finite Chevalley groups, the general theory of algebraic groups, representations, invariant theory, general
The volume in hand contains a selection from the numerous contributions dedicated to Professor Dr. Gottfried Köthe on the occasion of his 60th birthday. This selection only takes into consideration the papers on Functional Analysis as far as they have reached us in time to be included in the volume. All of these papers have been published in [the journal] "Mathematische Annalen", volume 162.
Vols. for 1965- include a separately paged section, Bulletin bibliographique.
Motives were introduced in the mid-1960s by Grothendieck to explain the analogies among the various cohomology theories for algebraic varieties, to play the role of the missing rational cohomology, and to provide a blueprint for proving Weil's conjectures about the zeta function of a variety over a finite field. Over the last ten years or so, researchers in various areas--Hodge theory, algebraic $K$-theory, polylogarithms, automorphic forms, $L$-functions, $\ell$-adic representations, trigonometric sums, and algebraic cycles--have discovered that an enlarged (and in part conjectural) theory of ``mixed'' motives indicates and explains phenomena appearing in each area. Thus the theory holds the potential of enriching and unifying these areas. This is one of two volumes containing the revised texts of nearly all the lectures presented at the AMS-IMS-SIAM Joint Summer Research Conference on Motives, held in Seattle, in 1991. A number of related works are also included, making for a total of forty-seven papers, from general introductions to specialized surveys to research papers.
Since the first ICM was held in Zürich in 1897, it has become the pinnacle of mathematical gatherings. It aims at giving an overview of the current state of different branches of mathematics and its applications as well as an insight into the treatment of special problems of exceptional importance. The proceedings of the ICMs have provided a rich chronology of mathematical development in all its branches and a unique documentation of contemporary research. They form an indispensable part of every mathematical library. The Proceedings of the International Congress of Mathematicians 1994, held in Zürich from August 3rd to 11th, 1994, are published in two volumes. Volume I contains an account of the organization of the Congress, the list of ordinary members, the reports on the work of the Fields Medalists and the Nevanlinna Prize Winner, the plenary one-hour addresses, and the invited addresses presented at Section Meetings 1 - 6. Volume II contains the invited address for Section Meetings 7 - 19. A complete author index is included in both volumes. '...the content of these impressive two volumes sheds a certain light on the present state of mathematical sciences and anybody doing...
This book contains seventeen contributions made to George Andrews on the occasion of his sixtieth birthday, ranging from classical number theory (the theory of partitions) to classical and algebraic combinatorics. Most of the papers were read at the 42nd session of the Sminaire Lotharingien de Combinatoire that took place at Maratea, Basilicata, in August 1998. This volume contains a long memoir on Ramanujan's Unpublished Manuscript and the Tau functions studied with a contemporary eye, together with several papers dealing with the theory of partitions. There is also a description of a maple package to deal with general q-calculus. More subjects on algebraic combinatorics are developed, especially the theory of Kostka polynomials, the ice square model, the combinatorial theory of classical numbers, a new approach to determinant calculus.
Pendant plus de cent ans, les physiciens ont pris pour parole d'évangile l'affirmation de John Keat selon laquelle la " beauté est vérité ". Qu'ils soient en train d'évaluer l'existence des trous noirs ou qu'ils prédisent de nouvelles découvertes au CNES, les physiciens croient que les meilleures théories sont belles, naturelles et élégantes. Ce standard sépare les théories popularisées des théories bonnes à jeter. Malheureusement, comme le démontre Sabine Hossenfelder, ce standard a également fait obstacle à toute avancée théorique majeure en physique depuis plus de quarante ans. Dans Lost in Maths, Sabine Hossenfelder explore comment cette préoccupation moderne pour la beauté nous aveugle et nous empêche de voir le monde naturel tel qu'il est. Aiguillés par le seul critère esthétique, les physiciens ont conçu de nouvelles théories ahurissantes, inventé une douzaine de nouvelles particules et déclaré que les lieux éloignés dans l'espace sont connectés par des vortex. Mais l'observation scientifique a été incapable de confirmer presque toutes ces idées - en fait, la plupart ne peuvent même pas être testées. Pour échapper à ce cul-de-sac...
Since the subject of Groups of Self-Equivalences was first discussed in 1958 in a paper of Barcuss and Barratt, a good deal of progress has been achieved. This is reviewed in this volume, first by a long survey article and a presentation of 17 open problems together with a bibliography of the subject, and by a further 14 original research articles.
This volume forms the sequel to "On the stabilization of the trace formula", published by International Press of Boston, Inc., 2011
This volume is an offspring of the special semester "Ergodic Theory, Geometric Rigidity and Number Theory" held at the Isaac Newton Institute for Mathematical Sciences in Cambridge, UK, from January until July, 2000. Some of the major recent developments in rigidity theory, geometric group theory, flows on homogeneous spaces and Teichmüller spaces, quasi-conformal geometry, negatively curved groups and spaces, Diophantine approximation, and bounded cohomology are presented here. The authors have given special consideration to making the papers accessible to graduate students, with most of the contributions starting at an introductory level and building up to presenting topics at the forefront in this active field of research. The volume contains surveys and original unpublished results as well, and is an invaluable source also for the experienced researcher.
In the past thirty years, differential geometry has undergone an enormous change with infusion of topology, Lie theory, complex analysis, algebraic geometry and partial differential equations. Professor Matsushima played a leading role in this transformation by bringing new techniques of Lie groups and Lie algebras into the study of real and complex manifolds. This volume is a collection of all the 46 papers written by him.