Liste des conférences plénières des congrès internationaux des mathématiciens

Cette liste des conférences plénières des congrès internationaux des mathématiciens dresse la liste des conférences plénières données aux congrès internationaux des mathématiciens.

1897 Zurich

Henri Poincaré: Sur les rapports de l’analyse pure et de la physique mathématique
Adolf Hurwitz: Über die Entwicklung der allgemeinen Theorie der analytischen Funktionen in neuerer Zeit
Giuseppe Peano: Logica matematica
Felix Klein: Zur Frage des höheren mathematischen Unterrichts

1900 Paris

Moritz Cantor: L’historiographie des mathématiques
David Hilbert: Mathematische Probleme (siehe Hilbertsche Probleme)
Gösta Mittag-Leffler: Une page de la vie de Weierstrass
Vito Volterra: Betti, Brioschi, Casorati - Trois analystes italiens et trois manières d’envisager les questions d’analyse

1904 Heidelberg

Alfred George Greenhill: The mathematical theory of the top considered historically
Paul Painlevé: Le problème moderne de l’intégration des équations différentielles
Corrado Segre: La geometria d’oggidi e i suoi legami coll’analisi
Wilhelm Wirtinger: Riemanns Vorlesungen über die hypergeometrische Reihe und ihre Bedeutung

1908 Rome

Gaston Darboux : Les origines, les méthodes et les problèmes de la géométrie infinitésimale
Walther von Dyck : Die Encyklopädie der mathematischen Wissenschaften
Andrew Forsyth : On the Present Condition of Partial Differential Equations of the Second Order as Regards Formal Integration
Hendrik Lorentz: Le partage de l’énergie entre la matière pondérable et l’éther
Gösta Mittag-Leffler : Sur la représentation arithmétique des fonctions analytiques générales d’une variable complexe
Simon Newcomb : La théorie du mouvement de la lune: son histoire et son état actuel
Émile Picard : La mathématique dans ses rapports avec la physique
Henri Poincaré : L’avenir des mathématiques
Giuseppe VeroneseGiuseppe Veronese : La geometria non-archimedea
Vito Volterra : Le matematiche in Italia nella seconda metà del secolo XIX

1912 Cambridge

Maxime Bôcher: Boundary Problems in One Dimension.
Émile Borel: Définition et domaine d’existence des fonctions monogènes uniformes.
Ernest William Brown: Periodicities in the Solar System.
Federigo Enriques: Il significato della critica dei principii nello sviluppo delle matematiche.
Boris Galitzine: The Principles of Instrumental Seismology.
Edmund Landau: Gelöste und ungelöste Probleme aus der Theorie der Primzahlverteilung und der Riemannschen Zetafunktion.
Joseph Larmor: On the Dynamics of Radiation.
Henry Seely White: The Place of Mathematics in Engineering Practice.

1920 Strasbourg

Leonard Eugene Dickson: Some Relations between the Theory of Numbers and Other Branches of Mathematics.
Joseph Larmor: Questions in Physical Interdetermination.
Niels Erik Nörlund: Sur les équations aux différences finies.
Charles-Jean de La Vallée Poussin: Sur les fonctions à variation bornée et les questions qui s’y rattachent.
Vito Volterra: Sur l’enseignement de la physique mathématique et de quelques points d’analyse.

1924 Toronto

Élie Cartan: La théorie des groupes et les recherches récentes de géométrie différentielle.
Leonard Eugene Dickson: Outline of the Theory to Date of the Arithmetics of Algebras.
Jean-Marie Le Roux : Considérations sur une équation aux dérivées partielles de la physique mathématique
James Pierpont: Non-Euclidean Geometry from Non-Projective Standpoint.
Salvatore Pincherle: Sulle operazioni funzionali lineari.
Francesco Severi: La géométrie algébrique.
Carl Størmer: Modern Norwegian Researches on the Aurora Borealis
William Henry Young: Some Characteristic Features of Twentieth Century Pure Mathematical Research.

1928 Bologne

Luigi AmorosoLuigi Amoroso: Le equazioni differenziali della dinamica economica.
George David Birkhoff: Quelques éléments mathématiques de I’art.
Émile Borel: Le calcul des probabilités et les sciences exactes.
Guido Castelnuovo: La geometria algebrica e la scuola italiana.
René Maurice Fréchet : L’analyse générale et les espaces abstraits.
Jacques Hadamard: Le développement et le rôle scientifique du calcul fonctionnel.
David Hilbert: Probleme der Grundlegung der Mathematik
Theodore von Kármán: Mathematische Probleme der modernen Aerodynamik.
Nikolaï Louzine: Sur les voies de la théorie des ensembles.
Roberto Marcolongo: Leonardo da Vinci: nella storia della matematica e della meccanica.
Umberto Puppini (de): Le bonifiche in Italia.
Leonida Tonelli: Il contributo italiano alla teoria delle funzioni di variabili reali.
Oswald Veblen: Differential Invariants and Geometry.
Vito Volterra: La teoria dei funzionali applicata ai fenomeni ereditari
Hermann Weyl: Kontinuierliche Gruppen und ihre Darstellungen durch lineare Transformationen.
William Henry Young: The Mathematical Method and Its Limitations.

1932 Zurich

James Waddell Alexander II : Some Problems in Topology.
Sergeï Natanovitch Bernstein : Sur les liaisons entre quantités aléatoires.
Ludwig Bieberbach : Operationsbereiche von Funktionen.
Harald Bohr : Fastperiodische Funktionen einer komplexen Veränderlichen.
Constantin Carathéodory : Über die analytischen Abbildungen durch Funktionen mehrerer Veränderlicher.
Torsten Carleman : Sur la théorie des équations intégrales linéaires et ses applications.
Élie Cartan : Sur les espaces riemanniens symétriques.
Rudolf Fueter : Idealtheorie und Funktionentheorie.
Gaston Julia: Essai sur le développement de la théorie des fonctions de variables complexes.
Karl Menger: Neuere Methoden und Probleme der Geometrie.
Marston Morse: The Calculus of Variations in the Large.
Rolf Nevanlinna: Über die Riemannsche Fläche einer analytischen Funktion.
Emmy Noether: Hyperkomplexe Systeme in ihren Beziehungen zur kommutativen Algebra und zur Zahlentheorie.
Wolfgang Pauli: Mathematische Methoden der Quantenmechanik.
Frigyes Riesz: Sur l’existence de la dérivée des fonctions d’une variable réelle et des fonctions d’intervalle.
Francesco Severi: La théorie générale des fonctions analytiques de plusieurs variables et la géométrie algébrique.
Wacław Sierpiński: Sur les ensembles de points qu’on sait définir effectivement.
Julius Stenzel (de): Anschauung und Denken in der klassischen Theorie der griechischen Mathematik.
Nikolaï Tchebotariov : Die Aufgaben der modernen Galoisschen Theorie
Georges Valiron: Le théorème de Borel-Julia dans la théorie des fonctions méromorphes.
Rolin Wavre: L’aspect analytique du problème des figures planétaires.

1936 Oslo

Lars Valerian Ahlfors: Geometrie der Riemannschen Flächen (Ahlfors est cette année avec Jesse Douglas un des lauréats de la première Médaille Fields)
Stefan Banach: Die Theorie der Operationen und ihre Bedeutung für die Analysis.
George David Birkhoff: On the Foundations of Quantum Mechanics.
Wilhelm Bjerknes : New Lines in Hydrodynamics.
Élie Cartan: Quelques aperçus sur le rôle de la théorie des groupes de Sophus Lie dans le développement de la géométrie moderne.
Johannes van der Corput: Diophantische Approximationen.
René Maurice Fréchet: Mélanges mathématiques.
Rudolf Fueter: Die Theorie der regulären Funktionen einer Quaternionenvariablen.
Helmut Hasse: Über die Riemannsche Vermutung in Funktionenkörpern.
Erich Hecke: Neuere Fortschritte in der Theorie der elliptischen Modulfunktionen.
Louis Mordell: Minkowski’s Theorems and Hypotheses on Linear Forms.
Otto Eduard Neugebauer: Über vorgriechische Mathematik und ihre Stellung zur griechischen.
Jakob Nielsen: Topologie der Flächenabbildungen.
Øystein Ore: The Decomposition Theorems of Algebra.
Carl Wilhelm Oseen: Probleme der geometrischen Optik.
Carl Ludwig Siegel: Analytische Theorie der quadratischen Formen.
Carl Størmer: Programme for the Quantitative Discussion of Electron Orbits in the Field of a Magnetic Dipole, with Application to Cosmic Rays and Kindred Phenomena
Oswald Veblen: Spinors and Projective Geometry.
Norbert Wiener: Gap Theorems.

1950 Cambridge

Abraham Adrian Albert: Power-Associative Algebras.
Arne Beurling: On Null-Sets in Harmonic Analysis and Function Theory.
Salomon Bochner: Laplace Operator on Manifolds.
Henri Cartan: Problèmes globaux dans la théorie des fonctions analytiques de plusieurs variables complexes.
Shiing-Shen Chern: Differential Geometry of Fiber Bundles.
Harold Davenport: Recent Progress in the Geometry of Numbers.
Kurt Gödel: Rotating Universes in General Relativity Theory.
William Vallance Douglas Hodge: The Topological Invariants of Algebraic Varieties.
Heinz Hopf: Die n-dimensionalen Sphären und projektiven Räume in der Topologie.
Witold Hurewicz: Homology and Homotopy.
Shizuo Kakutani: Ergodic Theory.
Marston Morse: Recent Advances in Variational Theory in the Large.
John von Neumann: Shock Interaction and Its Mathematical Aspects.
Joseph Ritt: Differential Groups.
Adolphe Rome (de): The Calculation of an Eclipse of the Sun According to Theon of Alexandria.
Laurent Schwartz: Théorie des Noyaux (Lauréat de la Médaille Fields la même année)
Abraham Wald: Basic Ideas of a General Theory of Statistical Decision Rules.
André Weil: Number Theory and Algebraic Geometry.
Hassler Whitney: r-Dimensional Integration in n-Space.
Norbert Wiener: Comprehensive View of Prediction Theory.
Raymond Louis WilderRaymond Louis Wilder: The Cultural Basis of Mathematics.
Oscar Zariski: The Fundamental Ideas of Abstract Algebraic Geometry.

1954 Amsterdam

Pavel Aleksandrov: Aus der mengentheoretischen Topologie der letzten zwanzig Jahren (en russe)
Karol Borsuk: Sur l’élimination de phénomènes paradoxaux en topologie générale.
Richard Brauer: On the Structure of Groups of Finite Order.
David van Dantzig: Mathematical Problems Raised by the Flood Disaster 1953.
Jean Dieudonné: Le calcul différentiel dans les corps de caractéristique p > 0.
Israel Gelfand: Some Aspects of Functional Analysis and Algebra.
Sydney Goldstein: On Some Methods of Approximation in Fluid Mechanics.
Harish-Chandra: Representations of Semisimple Lie Groups.
Børge Jessen (de): Some Aspects of the Theory of Almost Periodic Functions.
Andreï Kolmogorov: Théorie générale des systèmes dynamiques et mécanique classique (en russe avec résumé en français)
André Lichnerowicz: Les groupes d’holonomie et leurs applications.
John von Neumann: On Unsolved Problems in Mathematics.
Jerzy Neyman: Current Problems of Mathematical Statistics.
Sergueï Nikolski: Einige Fragen der Approximation von Funktionen durch Polynome (en russe)
Beniamino Segre: Geometry upon an Algebraic Variety.
Eduard Stiefel: Recent Developments in Relaxation Techniques.
Alfred Tarski: Mathematics and Metamathematics.
Edward Charles Titchmarsh: Eigenfunction Problems Arising from Differential Equations.
André Weil: Abstract versus Classical Algebraic Geometry.
Kōsaku Yosida: Semigroup Theory and the Integration Problem of Diffusion Equations.

1958 Édimbourg

Alexandre Alexandrov: Modern Development of Surface Theory.
Nikolaï Bogolioubov, Vasilii Vladimirov: On Some Mathematical Problems of Quantum Field Theory.
Henri Cartan: Sur les fonctions de plusieurs variables complexes: les espaces analytiques.
Claude Chevalley: La théorie des groupes algébriques.
Samuel Eilenberg: Applications of Homological Algebra in Topology.
William Feller: Some New Connections between Probability and Classical Analysis.
Lars Gårding: Some Trends and Problems in Linear Partial Differential Equations.
Alexandre Grothendieck: The Cohomology Theory of Abstract Algebraic Varieties.
Friedrich Hirzebruch: Komplexe Mannigfaltigkeiten.
Stephen Cole Kleene: Mathematical Logic: Constructive and Non-Constructive Operations.
Cornelius Lanczos: Extended Boundary Value Problems.
Lev Pontriaguine: Optimal Processes of Regulation. (en russe)
Klaus Roth: Rational Approximations to Algebraic Numbers (Lauréat de la Médaille Fields cette année)
Menahem Max Schiffer: Extremum Problems and Variational Methods in Conformal Mapping.
Norman Steenrod: Cohomology Operations and Symmetric Products.
George Temple: Linearization and Delinearization.
René Thom: Des variétés triangulées aux variétés différentiables (Lauréat de la Médaille Fields cette année)
George Uhlenbeck: Some Fundamental Problems in Statistical Physics.
Helmut Wielandt: Entwicklungslinien in der Strukturtheorie der endlichen Gruppen.

1962 Stockholm

Lars Ahlfors: Teichmüller Spaces.
Armand Borel: Arithmetic Properties of Linear Algebraic Groups.
Alonzo Church: Logic, Arithmetic, and Automata.
Eugene Dynkin: Markov Processes and Problems in Analysis. (en russe)
Beno Eckmann: Homotopy and Cohomology Theory.
Israel Gelfand: Automorphic Functions and the Theory of Representations. (en russe)
Hans Grauert: Die Bedeutung des Levischen Problems fiir die analytische and algebraische Geometrie.
Peter Henrici: Problems of Stability and Error Propagation in the Numerical Integration of Ordinary Differential Equations.
Jean-Pierre Kahane: Transformées de Fourier des fonctions sommables.
John Milnor: Topological Manifolds and Smooth Manifolds (Lauréat de la Médaille Fields la même année)
M. H. A. Newman: Geometrical Topology.
Louis Nirenberg: Some Aspects of Linear and Nonlinear Partial Differential Equations.
Igor Chafarevitch: Algebraic Number Fields. (en russe)
Atle Selberg: Discontinuous Groups and Harmonic Analysis (Lauréat de la Médaille Fields 1950)
Jean-Pierre Serre: Géométrie algébrique (Lauréat de la Médaille Fields 1954)
Jacques Tits: Groupes simples et géométries associées.

1966 Moscou

John Frank Adams: A Survey of Homotopy Theory.
Michael Artin: The Étale Topology of Schemes.
Michael Atiyah: Global Aspects of the Theory of Elliptic Differential Operators (Lauréat de la Médaille Fields la même année)
Richard Bellman: Dynamic Programming and Modern Control Theory.
Lennart Carleson: Convergence and Summability of Fourier Series.
Nikolai Efimov : Hyperbolic Problems in the Theory of Surfaces. (en russe)
Harish-Chandra: Harmonic Analysis on Semisimple Lie Groups.
Mark Krein: Analytic Problems and Results in the Theory of Linear Operators in Hilbert Space. (en russe)
Bernard Malgrange: Théorie Locale des Fonctions Différentiables.
Anatoli Maltsev: On Some Questions on the Border of Algebra and Logic. (en russe)
Ilya Piatetski-Shapiro: Automorphic Functions and Arithmetic Groups. (en russe)
Johann Schröder: Ungleichungen und Fehlerabschätzungen.
Kurt Schütte: Neuere Ergebnisse der Beweistheorie.
Stephen Smale: Differentiable Dynamical Systems (Lauréat de la Médaille Fields la même année)
Charles M. Stein: Some Recent Developments in Mathematical Statistics.
John Griggs Thompson: Characterizations of Finite Simple Groups (Lauréat de la Médaille Fields 1970)
Ivan Vinogradov, Alexei Postnikov: Recent Developments in Analytic Number Theory. (en russe)

1970 Nice

Alan Baker: Effective Methods in the Theory of Numbers (Lauréat de la Médaille Fields la même année)
Raoul Bott: On Topological Obstructions to Integrability.
William Browder: Manifolds and Homotopy Theory.
Shiing-Shen Chern: Differential Geometry: Its Past and Its Future.
Walter Feit: The Current Situation in the Theory of Finite Simple Groups.
Israel Gelfand: The Cohomology of Infinite Dimensional Lie Algebras; Some Questions of Integral Geometry.
Phillip Griffiths: A Transcendental Method in Algebraic Geometry.
Lars Hörmander: Linear Differential Operators (Lauréat de la Médaille Fields 1962)
Tosio Kato: Scattering Theory and Perturbation of Continuous Spectra.
Howard Jerome Keisler: Model Theory.
Gouri Marchuk: Methods and Problems of Computational Mathematics.
Lev Pontriaguine: Les Jeux différentiels linéaires.
Elias Menachem Stein: Some Problems in Harmonic Analysis Suggested by Symmetric Spaces and Semi-Simple Groups.
Richard Swan: Algebraic K-Theory.
John T. Tate: Symbols in Arithmetic.
C. T. C. Wall: Geometric Topology: Manifolds and Structures.

1974 Vancouver

Vladimir Arnold: Critical Points of Smooth Functions.
Heinz Bauer: Aspects of Modern Potential Theory.
Enrico Bombieri: Variational Problems and Elliptic Equations (Lauréat de la Médaille Fields la même année)
Gérard Debreu: Four Aspects of the Mathematical Theory of Economic Equilibrium.
Pierre Deligne: Poids dans la cohomologie des variétés algébriques (Lauréat de la Médaille Fields 1978)
George Duff: Mathematical Problems of Tidal Energy.
Charles Fefferman: Recent Progress in Classical Fourier Analysis (Lauréat de la Médaille Fields 1978)
James Glimm: Analysis over Infinite-Dimensional Spaces and, Applications to Quantum Field Theory.
Heinz-Otto Kreiss: Initial Boundary Value Problems for Hyperbolic Partial Differential Equations.
Jacques-Louis Lions: Sur la théorie du contrôle.
Eric MilnerEric Milner: Transversal Theory.
Daniel Quillen: Higher Algebraic K-Theory (Lauréat de la Médaille Fields 1978)
Wolfgang M. Schmidt: Applications of Thue’s Method in Various Branches of Number Theory.
Isadore Singer: Eigenvalues of the Laplacian and Invariants of Manifolds.
Volker Strassen: Some results in algebraic complexity theory
Dennis Sullivan: Inside and Outside Manifolds.
Jacques Tits: On Buildings and their Applications.
Anatoli Georgijewitsch Wituschkin (de): Coding of Signals with Finite Spectrum and Sound Recording Problems.

1978 Helsinki

Lars Ahlfors: Quasiconformal Mappings, Teichmüller Spaces and Kleinian Groups.
Alberto Calderón: Commutators, Singular Integrals on Lipschitz Curves and Applications.
Alain Connes: Von Neumann Algebras (Lauréat de la Médaille Fields 1983)
Robert Duncan Edwards (de): The Topology of Manifolds and Cell-Like Maps.
Daniel Gorenstein: The Classification of Finite Simple Groups.
Masaki Kashiwara: Micro-Local-Analysis.
Alexandre Kirillov: Infinite-dimensional groups, their representations, orbits, invariants
Robert Langlands: L-Functions and Automorphic Representations.
Yuri Manin: Modular Forms and Number Theory.
Sergueï Novikov: Linear Operators and Integrable Hamiltonian Systems (Lauréat de la Médaille Fields 1970)
Roger Penrose: The Complex Geometry of the Natural World.
Wilfried Schmid: Representations of Semisimple Lie Groups.
Albert Chiriaev: Absolute Continuity and Singularity of Probability Measures in Functional Spaces.
William Thurston: Geometry and Topology in Dimension Three (Lauréat de la Médaille Fields 1983)
André Weil: History of Mathematics: Why and How.
Shing-Tung Yau: The Role of Partial Differential Equations in Differential Geometry (Lauréat de la Médaille Fields 1983)

1983 Varsovie

Vladimir Arnold: Singularities of Ray Systems.
Paul Erdős: Extremal Problems in Number Theory, Combinatorics, and Geometry.
Wendell FlemingWendell Fleming: Optimal Control of Markov Processes.
Christopher Hooley: Some Recent Advances in Analytical Number Theory.
Wu-Chung Hsiang (de): Geometric Applications of Algebraic K-Theory.
Peter Lax: Problems Solved and Unsolved Concerning Linear and Non-Linear Partial Differential Equations.
Victor Pavlovich Maslov (de): Non-Standard Characteristics in Asymptotical Problems.
Barry Mazur: Modular Curves and Arithmetic.
Robert MacPherson: Global Questions in the Topology of Singular Spaces.
Aleksander Pełczyński: Structural Theory of Branch Spaces and Its Interplay with Analysis and Probability.
Gilles Pisier: Finite rank projections on Banach spaces and a conjecture of Grothendieck
David Ruelle: Turbulent Dynamical Systems.
Mikio Satō: Monodromy Theory and Holonomic Quantum Fields – a New Link between Mathematics and Theoretical Physics.
Yum-Tong Siu: Some Recent Developments in Complex Differential Geometry.

1986 Berkeley

Louis de Branges: Underlying Concepts in the Proof of the Bieberbach Conjecture.
Simon Donaldson: Geometry of Four Dimensional Manifolds (Lauréat de la Médaille Fields cette année)
Gerd Faltings: Recent Progress in Arithmetic Algebraic Geometry (Lauréat de la Médaille Fields cette année)
Frederick William Gehring (de): Quasiconformal Mappings.
Mikhaïl Gromov: Soft and Hard Symplectic Geometry.
Hendrik W. Lenstra: Efficient Algorithms in Number Theory.
Richard Schoen: New Developments in the Theory of Geometric Partial Differential Equations.
Arnold Schönhage: Equation Solving in Terms of Computational Complexity.
Saharon Shelah: Classifying General Classes.
Anatoliy Skorokhod: Random Processes in Infinite Dimensional Spaces.
Stephen Smale: Complexity Aspects of Numerical Analysis.
Elias M. Stein: Problems in Harmonic Analysis Related to Oscillatory Integrals and Curvature.
Andreï Sousline: Algebraic K-Theory of Fields.
David Alexander Vogan (de): Representations of Reductive Lie Groups.
Edward Witten: String Theory and Geometry.

1990 Kyoto

Spencer Bloch: Algebraic K-Theory, Motives, and Algebraic Cycles.
Stephen Cook: Computational Complexity of Higher Type Functions.
Boris Feigin: Conformal Field Theory and Cohomologies of the Lie Algebra of Holomorphic Vector Fields on a Complex Curve.
Andreas Floer: Elliptic Methods in Variational Problems.
Yasutaka Ihara: Braids, Galois Groups, and Some Arithmetic Functions.
Vaughan Jones: Von Neumann Algebras in Mathematics and Physics (Lauréat de la Médaille Fields cette année)
László Lovász: Geometric Algorithms and Algorithmic Geometry.
George Lusztig: Intersection Cohomology Methods in Representation Theory.
Andrew Majda: The Interaction on Non-Linear Analysis and Modern Applied Mathematics.
Gregori Margulis: Dynamical and Ergodic Properties of Subgroup Actions on Homogeneous Spaces with Applications to Number Theory (Lauréat de la Médaille Fields 1978)
Richard Melrose: Pseudodifferential Operators, Corners and Singular Limits.
Shigefumi Mori: Birational Classification of Algebraic Threefolds (Lauréat de la Médaille Fields cette année)
Iakov Sinaï: Hyperbolic Billiards.
Karen Uhlenbeck: Applications of Non-Linear Analysis in Topology.
Alexandre Varchenko: Multidimensional Hypergeometric Functions in Conformal Field Theory, Algebraic K-Theory, Algebraic Geometry.

1994 Zurich

László Babai: Transparent Proofs and Limits to Approximation.
Andreï Bolibroukh: The Riemann-Hilbert problem and Fuchsian differential equations on the Riemann sphere.
Jean Bourgain: Harmonic Analysis and Nonlinear Partial Differential Equations (Lauréat de la Médaille Fields cette année)
John Horton Conway: Sphere Packings, Lattices, Codes, and Greed.
Ingrid Daubechies: Wavelets and Other Phase Localization Methods.
Jürg Fröhlich: The Fractional Quantum Hall Effect, ChernSimons Theory and Integral Lattices.
Joseph B. Keller: Wave Propagation.
Maxime Kontsevitch: Homological Algebra of Mirror Symmetry (Lauréat de la Médaille Fields 1998)
Pierre-Louis Lions: On Some Recent Methods for Nonlinear Partial Differential Equations (Lauréat de la Médaille Fields cette année)
Bernadette Perrin-Riou: p-adic L-functions.
Marina Ratner: Interactions between Ergodic Theory, Lie Groups and Number Theory.
Paul Seymour: Progress on the Four-Colour Theorem.
Clifford Henry Taubes: Anti-self Dual Geometry.
S. R. Srinivasa Varadhan: Entropy Methods in Hydrodynamic Scaling.
Viktor Vassiliev : Topology of Discriminants and Their Complements.
Dan Voiculescu: Free Probability Theory: Random Matrices and von Neumann Algebras.
Andrew Wiles: Modular Forms, Elliptic Curves and Fermat’s Last Theorem.
Jean-Christophe Yoccoz: Recent Developments in Dynamics (Lauréat de la Médaille Fields cette année)

1998 Berlin

Jean-Michel Bismut: Local Index Theory and Higher Analytic Torsion.
Christopher Deninger: Some Analogies Between Number Theory and Dynamical Systems on Foliated Spaces.
Persi Diaconis: From Shuffling Cards to Walking Around the Building: An Introduction to Modern Markov Chain Theory.
Giovanni Gallavotti (de): Chaotic Hypothesis and Universal Large Deviations Properties.
Wolfgang Hackbusch: From Classical Numerical Mathematics to Scientific Computing.
Helmut Hofer: Dynamics, Topology, and Holomorphic Curves.
Ehud Hrushovski: Geometric Model Theory.
Ian Macdonald: Constant Term Identities, Orthogonal Polynomials, and Affine Hecke Algebras.
Stéphane Mallat: Applied Mathematics Meets Signal Processing.
Dusa McDuff: Fibrations in Symplectic Topology.
Tetsuji MiwaTetsuji Miwa: Solvable Lattice Models and Representation Theory of Quantum Affine Algebras.
Jürgen Moser: Dynamical Systems Past and Present.
George Papanicolaou: Mathematical Problems in Geophysical Wave Propagation.
Gilles Pisier: Operator Spaces and Similarity Problems.
Peter Sarnak: L-Functions.
Peter Shor: Quantum Computing.
Karl Sigmund: The Population Dynamics of Conflict and Cooperation.
Michel Talagrand: Huge Random Structures and Mean Field Models for Spin Glasses.
Cumrun Vafa: Geometric Physics.
Marcelo VianaMarcelo Viana: Dynamics: A Probabilistic and Geometric Perspective.
Vladimir Voïevodski: A¹-Homotopy Theory (Lauréat de la Médaille Fields 2002)

2002 Pékin

Noga Alon: Discrete Mathematics: Methods and Challenges.
Douglas Arnold: Differential Complexes and Numerical Stability.
Alberto Bressan: Hyperbolic Systems of Conservation Laws in One Space Dimension.
Luis Caffarelli: Nonlinear Elliptic Theory and the Monge-Ampere Equation.
Sun-Yung Alice Chang, Paul C. Yang (de): Non-linear Partial Differential Equations in Conformal Geometry.
David Donoho: Emerging Applications of Geometric Multiscale Analysis.
Ludvig Faddeev: Knotted Solitons.
Shafi Goldwasser: Mathematical Foundations of Modern Cryptography: Computational Complexity Perspective.
Uffe Haagerup: Random Matrices, Free Probability and the Invariant Subspace Problem Relative to a von Neumann Algebra.
Michael J. Hopkins: Algebraic Topology and Modular Forms.
Victor Kac: Classification of Supersymmetries.
Harry Kesten: Some Highlights of Percolation.
Frances Kirwan: Cohomology of Moduli Spaces.
Laurent Lafforgue: Chtoucas de Drinfeld, Formule des Traces d’Arthur-Selberg et Correspondance de Langlands (Lauréat de la Médaille Fields cette année)
David Mumford: Pattern Theory: The Mathematics of Perception (Lauréat de la Médaille Fields 1974)
Hiraku Nakajima: Geometric Construction of Representations of Affine Algebras.
Yum-Tong Siu: Some Recent Transcendental Techniques in Algebraic and Complex Geometry.
Richard Taylor: Galois Representations.
Gang Tian: Geometry and Nonlinear Analysis.
Edward Witten: Singularities in String Theory (Lauréat de la Médaille Fields 1990)

2006 Madrid

Percy Deift: Universality for Mathematical and Physical Systems.
Jean-Pierre Demailly: Kähler Manifolds and Transcendental Techniques in Algebraic Geometry.
Ronald DeVore: Optimal Computation.
Yakov Eliashberg: Symplectic Field Theory and Its Applications.
Étienne Ghys: Knots and Dynamics.
Richard S. Hamilton: The Poincaré Conjecture.
Henryk Iwaniec: Prime Numbers and L-functions.
Iain M. Johnstone: High Dimensional Statistical Inference and Random Matrices.
Kazuya Kato: Iwasawa Theory and Generalizations.
Robert V. Kohn: Energy-Driven Pattern Formation.
Ib Madsen: Moduli Spaces from a Topological Viewpoint.
Arkadi Nemirovski: Advances in Convex Optimization: Conic Programming.
Sorin Popa: Deformation and Rigidity for Group Actions and von Neumann Algebras.
Alfio QuarteroniAlfio Quarteroni: Cardiovascular Mathematics.
Oded Schramm: Conformally Invariant Scaling Limits: An Overview and a Collection of Problems.
Richard P. Stanley: Increasing and Decreasing Subsequences and Their Variants.
Terence Tao: The Dichotomy between Structure and Randomness, Arithmetic Progressions, and the Primes (lauréat de la médaille Fields cette année)
Juan Luis Vázquez: Perspectives in Nonlinear Diffusion: Between Analysis, Physics, and Geometry.
Michèle Vergne: Applications of Equivariant Cohomology.
Avi Wigderson: P, NP, and Mathematics: A Computational Complexity Perspective.

2010 Hyderabad

David Aldous : Exchangeability and Continuum Limits of Discrete Random Structures
Artur Ávila : Dynamics of Renormalization Operators
Ramachandran Balasubramanian : Highly Composite
Ngô Bảo Châu : Endoscopy Theory of Automorphic Forms (lauréat de la médaille Fields cette année)
Jean-Michel Coron : On the Controllability of Nonlinear Partial Differential Equations
Irit Dinur : Probabilistically Checkable Proofs and Codes (PCP-Theorem)
Hillel Furstenberg : Ergodic Structures and Non-Conventional Ergodic Theorems
Thomas J. R. Hughes : Isogeometric Analysis
Peter W. Jones : Eigenfunctions and Coordinate Systems on Manifolds
Carlos Kenig : The Global Behavior of Solutions to Critical Non-linear Dispersive Equations
Stanley Osher : New Algorithms in Image Science
Raman Parimala : Arithmetic of Linear Algebraic Groups over Two-dimensional Fields
Alexei N. Parshin : Representations of Higher Adelic Groups and Arithmetics
Peng Shige : Backward Stochastic Differential Equations, Nonlinear Expectations and Their Applications
Kim Plofker : “Indian” Rules, “Yavana” Rules: Foreign Identity and the Transmission of Mathematics
Nicolai Reshetikhin : On Mathematical Problems in Quantum Field Theory
Richard Schoen : Riemannian Manifolds of Positive Curvature
Claire Voisin : On the Cohomology of Algebraic Varieties
W. Hugh Woodin : Strong Axioms of Infinity and the Search for V

2014 Séoul

Ian Agol: Virtual properties of 3-manifolds
James Arthur: L-functions and automorphic representations
Manjul Bhargava: Rational points on elliptic and hyperelliptic curves (lauréat de la médaille Fields cette année)
Alexei Borodin: Integrable probability
Franco Brezzi: The great beauty of VEM’s
Emmanuel Candès: Mathematics of sparsity (and a few other things)
Demetrios Christodoulou: Hyperbolic P.D.E. and Lorentzian Geometry
Alan Frieze: Random Structures and Algorithms
Jean-François Le Gall: Random geometry on the sphere
Ben Green: Approximate algebraic structure
Jun-Muk Hwang: Mori geometry meets Cartan geometry: Varieties of minimal rational tangents
János Kollár : The structure of algebraic varieties
Mikhail Lyubich : Analytic Low-Dimensional Dynamics: from dimension one to two
Fernando Codá Marques: Minimal surfaces - variational theory and applications
Frank Merle: Asymptotics for critical nonlinear dispersive equations
Maryam Mirzakhani: (exposé annulé) (lauréate de la médaille Fields cette année)
Takurō Mochizuki: Wild harmonic bundles and twistor ${\mathcal {D}}$ -modules
Benoit Perthame: Some mathematical aspects of tumor growth and therapy
Jonathan Pila: O-minimality and Diophantine geometry
Vojtěch Rödl : Quasi-randomness and the regularity method in hypergraphs
Vera Serganova: Finite dimensional representations of algebraic supergroups

2018 Rio de Janeiro^[1]

Luigi Ambrosio, Calculus, heat flow and curvature-dimension bounds in metric measure spaces
Nalini Anantharaman, Delocalization of Schrödinger eigenfunctions
Sanjeev Arora, The mathematics of machine learning and deep learning
Ronald Coifman, Harmonic analytic geometry on subsets in high dimensions – Empirical models
Simon Donaldson, Some recent developments in Kähler geometry and exceptional holonomy
Catherine Goldstein, Long-term history and ephemeral configurations
Michael Jordan, Dynamical, symplectic and stochastic perspectives on gradient-based optimization
Gil Kalai, Noise Stability, Noise Sensitivity and the Quantum Computer Puzzle
Peter Kronheimer et Tom Mrowka, Knots, three-manifolds and instantons
Vincent Lafforgue, Global Langlands parameterization and shtukas for reductive groups
Gregory F. Lawler, Conformally Invariant Measures on Paths and Loops
Christian Lubich, Dynamics, numerical analysis and some geometry
Alexander Lubotzky, High dimensional expanders
Carlos Gustavo Moreira, Dynamical systems, fractal geometry and diophantine approximations
Assaf Naor, Metric dimension reduction: A snapshot of the Ribe program
Andreï Okounkov, On the crossroads of enumerative geometry and geometric representation theory
Rahul Pandharipande, Geometry of the moduli space of curves
Peter Scholze, Period maps in p-adic geometry
Sylvia Serfaty, Systems of points with Coulomb interactions
Geordie Williamson, Representation theory and geometry
Lai-Sang Young, Dynamical systems evolving