Список пленарных докладов на Европейских математических конгрессах

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).

Материалы конгресса впоследствии публикуются в Proceedings of European Congresses of Mathematics^[2].

1992, Париж

• 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.

1996, Будапешт

• 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.

2000, Барселона

• 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

2004, Стокгольм

• 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.

2008, Амстердам

• 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

2012, Краков

• 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

2016, Берлин

• 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

2021, Порторож

• 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

См. также

• Список пленарных докладов на Международных конгрессах математиков