Европейский математический конгресс (англ. European Congress of Mathematics, ECM) — крупнейшая европейская конференция, посвящённая математике; проводится раз в 4 года под эгидой Европейского математического общества. Первый конгресс прошёл в Париже в 1992 году[1]. Доклады на конгрессе делятся на пленарные (Plenary Lectures) и секционные (Invited Lectures).
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Материалы конгресса впоследствии публикуются в Proceedings of European Congresses of Mathematics[2].
- Арнольд, Владимир Игоревич Vasiliev’s theory of discriminants and knots.[3]
- Laszlo Babai Transparent proofs.
- Corrado de Concini Representations of quantum groups at roots of 1.
- Дональдсон, Саймон Gauge theory and four-manifold topology.
- Björn Engquist Numerical approximations of hyperbolic conservation laws.
- Лионс, Пьер-Луи On some recent methods in nonlinear partial differential equations.
- Werner Müller Geometry and spectral theory.
- Мамфорд, Дэвид Computer vision from a mathematical perspective.
- Alain-Sol Sznitman Brownian motion and obstacles.
- Michèle Vergne Cohomologie equivariante et formules de caracteres.
- Алон, Нога Randomness and pseudo-randomness on discrete mathematics.[4]
- Gérard Ben Arous Large deviation as a common probabilistic tool for some problem of analysis, geometry and physics.
- Дубровин, Борис Анатольевич Reflection groups quantum cohomologies and Painleve’s equations.
- Коллар, Янош Low degree polynomial equations: arithmetic, geometry and topology.
- Jacques Laskar The stability of the Solar System.
- Dusa McDuff Recent progress in symplectic topology.
- Меркурьев, Александр Сергеевич K-theory and algebraic groups.
- Мильман, Виталий Давидович Surprising geometric phenomena of high-dimensional convexity theory.
- Stefan Müller Microstructures, geometry and the calculus of variations.
- Серр, Жан-Пьер Correspondences and dictionaries in geometry and number theory.
- Robbert Dijkgraaf The Mathematics of M-Theory[5]
- Hans Föllmer Probabilistic aspects of financial risks.
- Hendrik W. Lenstra Flags and lattice basic reduction.
- Манин, Юрий Иванович Moduli, motives, mirrors.
- Мейер, Ив The role of oscillations in non-linear problems.
- Carles Simó New families of solutions in N-body problems.
- Marie-France Vignéras Local Langlands correspondance for GL(n,Q_p) modulo l ≠ p.
- Виро, Олег Янович Dequantization of real algebraic geometry on logarithmic paper.
- Уайлс, Эндрю Джон Galois representations and automorphic forms
- François Golse Hydrodynamic Limits[6]
- Francesco Guerra Mathematical aspects of mean field spin glass theory.
- Johan Håstad Efficient computational proofs and inapproximability.
- Окуньков, Андрей Юрьевич Random surfaces and algebraic curves.
- Шрамм, Одед Conformally invariant random processes.
- Zoltán Szabó Holomorphic discs and low dimensional topology.
- Клэр Вуазен Recent progresses in Kaehler and Complex Algebraic Geometry.
- Luigi Ambrosio Optimal transportation and Evolution Problems in Spaces of Probability Measures[7]
- Christine Bernardi From A Posteriori Analysis to Automatic Modelling
- Бургейн, Жан New developments in Arithmetic Combinatorics
- Jean-François Le Gall The continuous limit of large random planar maps
- François Loeser The Geometry behind non-archimedean integrals
- Ловас, Ласло Very large graphs
- Matilde Marcolli Renormalization, Galois Symmetries and Motives
- Felix Otto Pattern formation and partial differential equations
- Решетихин, Николай Юрьевич Topological Quantum Field Theory- 20 years later
- Тейлор, Ричард Лоуренс The Sato-Tate conjecture
- Adrian Constantin Some mathematical aspects of water waves[8]
- Camillo De Lellis Dissipative solutions of the Euler equations
- Herbert Edelsbrunner Persistent homology and applications
- Громов, Михаил Леонидович In search for a structure
- Christopher Hacon Classification of Algebraic Varieties
- Каждан, Давид Classification of affine Kac-Moody-Groups over local and global fields
- Томаш Лучак Treshold Behaviour of Random Discrete Structures
- Sylvia Serfaty Renormalized Energy, Abrikosov lattice and log gases
- Шелах, Сахарон Classifying classes of structures in model theory
- Michel Talagrand Geometry of Stochastic Processes
- Karine Chemla: How has one, and how could one, approach the diversity of mathematical cultures?[9]
- Александр Гайфуллин: Flexible polyhedra and their volumes
- Gil Kalai: Combinatorics of Boolean functions and more
- Antti Kupiainen: Quantum Fields and Probability
- Clément Mouhot: De Giorgi-Nash-Moser and Hörmander theories: new interplays
- Daniel Peralta-Salas: Existence of knotted vortex structures in stationary solutions of the Euler equations
- Леонид Полтерович: Symplectic rigidity and Quantum Mechanics
- Петер Шольце: Perfectoid Spaces and their Applications
- Карен Фогтманн: The topology and geometry of automorphism groups of free groups
- Barbara Wohlmuth: Complexity reduction techniques for the numerical solution of PDEs
- Peter Bühlmann: Statistical Learning: Causal-oriented and Robust[10]
- Xavier Cabré: Stable solutions to semilinear elliptic equations are smooth up to dimension 9
- János Pach: Escaping the curse of dimensionality in combinatorics
- Franc Forstnerič: Minimal surfaces from a complex analytic viewpoint
- Алис Гионнэ (Bernoulli Lecture): Bernoulli Random Matrices
- Gitta Kutyniok: The Mathematics of Deep Learning
- Monika Ludwig: Geometric Valuation Theory
- Alfio Quarteroni: The Beat of Math
- Karl-Theodor Sturm: Metric measure spaces and synthetic Ricci bounds
- Umberto Zannier: Torsion in algebraic groups and problems which arise