As in previous years at the ICM, ICM 2014 will offer a wide-ranging, attractive scientific program consisting of plenary and invited lectures, short communications, poster sessions and other scientific activities. 

The following subject areas have been chosen for ICM 2014 (section descriptions as well as the number of plenary and invited lectures to be given in each section):

 

 
Click the sections to view invited speakers and panels list.
 

Model theory. Set theory. Recursion theory. Proof theory. Applications.

Connections with sections 2, 3, 13, 14.

<Invited Speakers>

François Loeser, Université Pierre et Marie Curie-Paris 6, France / Joint section 4

Definability in non-archimedean geometry

Ilijas Farah, York University, Canada

Logic and operator algebras

Zoé Chatzidakis, Université Paris Diderot-Paris 7, France

Model theory of difference fields and applications to algebraic dynamics

Byunghan Kim, Yonsei University, Korea

Amalgamation functors and homology groups in model theory

Antonio Montalbán, University of California, Berkeley, USA

Computability theoretic classifications for classes of structures

Slawomir Solecki, University of Illinois at Urbana-Champaign, USA

A general approach to finite Ramsey theory

 

Groups (finite, infinite, algebraic) and their representations. Rings, Algebras and Modules (except as specified in other sections, Geometry, or Lie theory). Algebraic K-theory, Category theory, Computational aspect of algebra and applications.

Connections with sections 1, 3, 4, 5, 6, 7, 13, 14.

<Invited Speakers>

Seok-Jin Kang, Seoul National University, Korea

Higher representation theory and quantum affine Schur-Weyl duality

Robert Guralnick, University of Southern California, USA

Applications of the classification of finite simple groups

Guillermo Cortinas, Universidad de Buenos Aires, Argentina

Excision, descent, and singularity in algebraic $K$-theory.

Nicolás Andruskiewitsch, Universidad Nacional de Córdoba, Argentina

On finite-dimensional Hopf algebras

Martin Kassabov, Cornell University, USA / Joint section 7

Finitely Generated Groups with Controlled Pro-algebraic Completions

Olga Kharlampovich, City University of New York, USA / Joint

Model theory and algebraic geometry in groups, non-standard actions and algorithmic problems

Alexei Miasnikov, Stevens Institute of Technology, USA / Joint

Karen Smith, University of Michigan, USA / Joint section 4

Local and global Frobenius splitting

Andrei S. Rapinchuk, University of Virginia, USA

Towards the eigenvalue rigidity of Zariski-dense subgroups

 

Analytic and algebraic number theory. Local and global fields and their Galois groups. Zeta and L-functions. Diophantine equations. Arithmetic on algebraic varieties. Diophantine approximation, transcendental number theory, and geometry of numbers. Modular and automorphic forms, modular curves, and Shimura varieties. Langlands program. p-adic analysis. Number theory and physics. Computational number theory and applications, notably to cryptography.

Connections with sections 1, 2, 4, 7, 11, 12, 13, 14.

<Invited Speakers>

Harald Helfgott, École Normale Supérieure-Paris, France / Joint section 13

The ternary Goldbach problem

Matthew Emerton, University of Chicago, USA

Completed cohomology and the p-adic Langlands program

Francis Brown, IHES, France

Motivic periods and Pn{0; 1;1}

Dan Goldston, San Jose State University, USA / Joint

Small gaps between primes

János Pintz, Alfréd Rényi Institute of Mathematics, Hungary / Joint

Small gaps between primes

Cem Yildirim, Boğaziçi University, Turkey / Joint

Small gaps between primes

Michael Harris, Institut de Mathématiques de Jussieu, France

Automorphic Galois representations and the comohology of Shimura varieties

Wee Teck Gan, National University of Singapore, Singapore

Theta correspondence: recent progress and applications

Trevor Wooley, Bristol University, UK

Translation invariance, exponential sums, and Waring's problem

Peter Scholze, Universität-Bonn, Germany

Perfectoid spaces and their applications

Zeev Rudnick, Tel-Aviv University, Israel / Joint section 8

Some problems in analytic number theory for polynomials over a finite field

Jean-Loup Waldspurger, Institut de Mathématiques de Jussieu, France

Stabilization of the geometric side of the twisted trace formula

Umberto Zannier, Scuola Normale Superiore di Pisa, Italy

Elementary integration of differentials in families and conjectures of Pink

Tamar Ziegler, Hebrew University and Technion, Israel / Joint section 9

Linear equations in primes and dynamics of nilmanifolds

Yitang Zhang, University of New Hampshire, USA

Small gaps between primes and primes in arithmetic progressions to large moduli

Algebraic varieties, their cycles, cohomologies, and motives. Schemes. Geometric aspects of commutative algebra. Arithmetic geometry. Rational points. Low-dimensional varieties. Singularities and classification. Birational geometry. Moduli spaces and enumerative geometry. Derived categories. Abelian varieties. Transcendental methods, topology of algebraic varieties. Complex differential geometry, Kähler manifolds and Hodge theory. Relations with mathematical physics and representation theory. Real algebraic and analytic sets. Rigid and p-adic analytic spaces. Tropical geometry. Non-commutative geometry.

Connections with sections 2, 3, 5, 6, 7, 8, 11, 13, 14.

<Invited Speakers>

Kai Behrend, University of British Columbia, Canada

On the virtual fundamental class

Mark Gross, University of California at San Diego, USA / Joint

Local mirror symmetry in the tropics

Bernd Siebert, Universität Hamburg, Germany / Joint

Local mirror symmetry in the tropics

Bumsig Kim, Korea Institute for Advanced Study, Korea

Quasimap theory

Alexander Kuznetsov, Steklov Math Institute, Russia

Semiorthogonal decompositions in algebraic geometry

Davesh Maulik, Columbia University, USA

K3 surfaces in positive characteristic

Mircea Mustaţă, University of Michigan, USA

The dimension of jet schemes of singular varieties

Keiji Oguiso, Osaka University, Japan

Some aspects of explicit birational geometry inspired by complex dynamics

Bertrand Toën, CNRS, Université de Montpellier 2, France

Derived Algebraic Geometry and Deformation Quantization

Yukinobu Toda, Kavli-IPMU, Japan

Derived category of coherent sheaves and counting invariants

Mikhail Verbitsky, National Research University HSE, Russia

Teichmuller spaces, ergodic theory and global Torelli theorem

 

Local and global differential geometry. Non-linear and fully non-linear geometric PDE. Geometric flows. Geometric structures on manifolds. Riemannian and metric geometry. Geometric aspects of group theory. Conformal geometry, Kähler geometry, Symplectic and Contact geometry, Geometric rigidity, General Relativity.

Connections with sections 2, 4, 6, 7, 8, 9, 10, 11, 12, 16, 17.

<Invited Speakers>

Fuquan Fang, Capital Normal University, China

Non-negatively curved manifolds and Tits geometry

Mikhail Belolipetsky, Instituto Nacional de Matemática Pura e Aplicada, Brazil

Hyperbolic orbifolds of small volume

Olivier Biquard, École Normale Supérieure Paris, France

Einstein 4-manifolds and singularities

Mohammed Abouzaid, Columbia University, USA / Joint section 6

Family Floer cohomology and mirror symmetry

Nancy Hingston, College of New Jersey, USA

Loop products, Poincare duality, index growth and dynamics

Aaron Naber, Northwestern University, USA

The Geometry of Ricci Curvature

Jeremy Kahn, Brown University, USA / Joint / Joint section 9

The surface subgroup and the Ehrenepreis Conjectures

Vladimir Markovic, California Institute of Technology, USA / Joint / Joint section 9

The surface subgroup and the Ehrenepreis Conjectures

Yaron Ostrover, Tel Aviv University, Israel / Joint section 9

When symplectic topology meets Banach space geometry

Hans Ringström, Royal Institute of Technology-Stockholm, Sweden

On the future stability of cosmological solutions to Einstein's equations with accelerated expansion

André Neves, Imperial College London, UK

New applications of Min-max Theory

Gábor Székelyhidi, University of Notre Dame, USA

Extremal Kahler metrics

Natasa Sesum, Rutgers University, USA

Solitons in geometric evolution equations

Daniel Wise, McGill University, Canada / Joint section 6

The cubical route to understanding groups

Stefan Wenger, University of Fribourg, Switzerland

Isoperimetric inequalities and asymptotic geometry

Peter Topping, University of Warwick, UK

Ricci flows with unbounded curvature

 

Algebraic Topology, Differential Topology, Geometric Topology, Floer and gauge theories, Low-dimensional manifolds including knot theory and connections with Kleinian groups and Teichmüller theory, Symplectic Geometry and contact manifolds, and Topological quantum field theories.

Connections with sections 2, 4, 5, 7, 8, 11.

<Invited Speakers>

Joseph Ayoub, University of Zürich, Switzerland

A guide to (étale) motivic sheaves

Michael Entov, Technion-Israel Institute of Technology, Israel

Quasi-morphisms and quasi-states in symplectic topology

Benson Farb, University of Chicago, USA

Representation Stability

Soren Galatius, Stanford University, USA

Moduli spaces of manifolds

Michael Hill, University of Virginia, USA

On the non-existence of elements of Kervaire invariant one

Tao Li, Boston College, USA

Heegaard splittings of 3-manifolds

Charles Rezk, University of Illinois at Urbana-Champaign, USA

Isogenies, power operations, and homotopy theory

John Rognes, University of Oslo, Norway

Algebraic $K$-theory of strict ring spectra

Thomas Schick, Universität Göttingen, Germany

The topology of scalar curvature

Constantin Teleman, University of California Berkeley, USA

Gauge theory and mirror symmetry

 

Algebraic and arithmetic groups. Structure, geometry, and representations of Lie groups and Lie algebras. Related geometric and algebraic objects, e.g. symmetric spaces, buildings, vertex operator algebras, quantum groups. Non-commutative harmonic analysis. Geometric methods in representation theory. Discrete subgroups of Lie groups. Lie groups and dynamics, including applications to number theory.

Connections with sections 2, 3, 4, 5, 6, 8, 9, 11, 12, 13.

<Invited Speakers>

Yves Benoist, Université Paris-Sud, France / Joint section 9

Recurrence on the space of lattices

Konstantin Ardakov, Queen Mary University of London, UK

$\widehat{\mathcal{D}}$-modules on rigid analytic spaces

Emmanuel Breuillard, Université Paris-Sud 11, France

Diophantine geometry and uniform growth of finite and infinite groups

Michela Varagnolo, Université de Cergy-Pontoise, France / Joint

Double affine Hecke algebras and Hecke algebras associated with quivers

Eric Vasserot, Institut de Mathématiques de Jussieu, France / Joint

Double affine Hecke algebras and Hecke algebras associated with quivers

Alexander Furman, University of Illinois at Chicago, USA / Joint section 9

Boundaries, rigidity of representations, and Lyapunov exponents

Jonathan Brundan, University of Oregon, USA

Schur-Weyl duality and categorification

Alexander Kleshchev, University of Oregon, USA

Modular representation theory of symmetric groups

Victor Ostrik, University of Oregon, USA

Multi-fusion categories of Harish-Chandra bimodules

Nicolas Ressayre, Institut Camille Jordan, France

Some qualitative properties of branching multiplicities

Bertrand Rémy, Institut Camille Jordan, France

On some recent developments in the theory of buildings

 

Classical analysis. Real and Complex analysis in one and several variables, potential theory, quasiconformal mappings. Harmonic analysis. Linear and non-linear functional analysis, operator algebras, Banach algebras, Banach spaces. Non-commutative geometry, spectra of random matrices. Asymptotic geometric analysis. Metric geometry and applications. Geometric measure theory.

Connections with sections 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16.

<Invited Speakers>

Laszlo Erdös, Institute of Science and Technology, Austria, Austria / Joint section 11 & 12

Random matrices, log gases and H\"older regularity

Alessio Figalli, University of Texas at Austin, USA

Quantitative stability results for the Brunn-Minkowski inequality

Kengo Hirachi, University of Tokyo, Japan

Q and Q-prime curvature in CR geometry

Tuomas Hytönen, University of Helsinki, Finland

Advances in weighted norm inequalities

Nets Katz, California Institute of Technology, USA

The flecnode polynomial: a central object in incidence geometry

Izabella Laba, University of British Columbia, Canada

Harmonic analysis and the geometry of fractals

László Székelyhidi, Universität Leipzig, Germany / Joint section 10

The h-principle and turbulence

Wilhelm Schlag, University of Chicago, USA / Joint section 10

Semilinear wave equations

Tom Sanders, Oxford University, UK / Joint section 13

Roth's theorem: an application of approximate groups

Andrea Malchiodi, Scuola Internazionale Superiore di Studi Avanzati, Italy

Liouville equations from a variational point of view

Sasha Sodin, Princeton University, USA and Tel Aviv University, Israel

A modification of the moment method, and its applications to random matrices

Jill Pipher, Brown University, USA

Carleson measures and elliptic boundary value problems

Roland Speicher, Universität des Saarlandes, Germany

Free probability and random matrices

Chang-Shou Lin, National Taiwan University, Taiwan

Mean field equation, Hyperelliptic curve and Modular forms

Adam W. Marcus, Yale University and Crisply, Inc., USA / Joint / Joint section 13

Ramanujan graphs and the solution of the Kadison–Singer problem

Daniel A. Spielman, Yale University, USA / Joint / Joint section 13

Ramanujan graphs and the solution of the Kadison–Singer problem

Nikhil Srivastava, Microsoft Research India, India / Joint / Joint section 13

Ramanujan graphs and the solution of the Kadison–Singer problem

 

Topological and symbolic dynamics. Geometric and qualitative theory of ODE and smooth dynamical systems, bifurcations and singularities. Hamiltonian systems and dynamical systems of geometric origin. One-dimensional and holomorphic dynamics. Strange attractors and chaotic dynamics. Multidimensional actions and rigidity in dynamics. Ergodic theory including applications to combinatorics and combinatorial number theory. Infinite dimensional dynamical systems and PDE.

Connections with sections 5, 7, 8, 10, 11, 12, 13, 15, 16.

<Invited Speakers>

Viviane Baladi, CNRS, DMA-Ecole Normale Supérieure, Paris, France

Linear response, or else

Luigi Chierchia, Universitá degli Studi Roma Tre, Italy / Joint

Metric stability of the planetary N-body problem

Gabriella Pinzari, Universitá Federico II, Napoli, Italy / Joint

Metric stability of the planetary N-body problem

Masato Tsujii, Kyushu University, Japan

Resonances for geodesic flows on negatively curved manifolds

Jens Marklof, University of Bristol, UK

The low-density limit of the Lorentz gas: periodic, aperiodic and random

Albert Fathi, ENS de Lyon, France

Weak KAM Theory: the connection between Aubry-Mather theory and viscosity solutions of the Hamilton-Jacobi equation

Sylvain Crovisier, University Paris-Sud 11, France

Dynamics of $C^1$-diffeomorphisms: global description and prospects for classification

Carlos Gustavo Moreira, IMPA, Brazil

Fractal geometry and dynamical bifurcations

Mark Pollicott, University of Warwick, UK

Zeta functions for Anosov flows

Sebastian van Strien, Imperial College London, UK / Joint

Recent developments in interval dynamics

Weixiao Shen, National University Singapore, Singapore / Joint

Recent developments in interval dynamics

 

Solvability, regularity, stability and other qualitative properties of linear and non-linear equations and systems. Asymptotics. Spectral theory, scattering, inverse problems. Variational methods and calculus of variations. Geometric Evolution equations. Optimal transportation. Homogenization and multiscale problems. Relations to continuous media and control. Modeling through PDEs.

Connections with sections 5, 8, 9, 11, 12, 15, 16, 17.

<Invited Speakers>

Panagiota Daskalopoulos, Columbia University, USA

Ancient Solutions to Geometric Flows

Mihalis Dafermos, University of Cambridge, UK / Joint section 11

The mathematical analysis of black holes in general relativity

Luis Silvestre, University of Chicago, USA

Regularity estimates for parabolic integro-differential equations and Applications

Robert Jerrard, University of Toronto, Canada

Quantized vortex filaments in complex scalar fields

Ki-Ahm Lee, Seoul National University, Korea

Homogenization Theory in Nonlinear Partial Differential Equations

Robert J. McCann, University of Toronto, Canada

Academic wages, singularities, phase transitions and pyramid schemes

Laure Saint-Raymond, Ècole Normale Supérieure, France

From molecular dynamics to kinetic theory and hydrodynamics

Isabelle Gallagher, Université Paris-Diderot, France

From molecular dynamics to kinetic theory and hydrodynamics

Shih-Hsien Yu, National University of Singapore, Singapore

Duality in Boltzmann Equation and its Applications

Pierre Raphael, Universite de Nice Sophia Antipolis, France / Joint section 11

On singularity formation in Hamiltonian evolution equations

Jeremie Szeftel, Université Pierre et Marie Curie, France

The resolution of the bounded $L^2$ curvature conjecture in general relativity

Andras Vasy, Stanford University, USA

Some recent advances in microlocal analysis

Juncheng Wei, Chinese University of Hong Kong, Hong Kong and University of British Columbia, Canada

Geometric approaches to semilinear elliptic equations

 

Quantum mechanics. Quantum field theory including gauge theories. General relativity. Statistical mechanics and random media. Integrable systems. Supersymmetric theories. String theory. Fluid dynamics.

Connections with sections 4, 5, 6, 7, 8, 9, 10, 12.

<Invited Speakers>

Anton Alekseev, Université de Genève, Switzerland

Three lives of the Gelfand-Zeitlin integrable system

Ivan Corwin, Clay Mathematics Institute, Columbia University and Institute Henri Poincare, USA

Macdonald processes, quantum integrable systems and the Kardar-Parisi-Zhang universality class

Bertrand Duplantier, Institut de Physique Théorique, France

Liouville quantum gravity, KPZ & Schramm-Loewner Evolution

Samson Shatashvili, Trinity College, Ireland

Gauge theory angle at quantum integrability

Vladimir Fock, Université de Strasbourg et CNRS, France

Cluster varieties and integrable systems

Anton Gerasimov, Institute of Theoretical and Experimental Physics, Russia

Archimedian Langlands duality in number theory and exactly solvable quantum systems

Robert Seiringer, Institute of Science and Technology Austria, Austria

Structure of the excitation spectrum for many-body quantum systems (Cancelled)

Rinat Kedem, University of Illinois at Urbana-Champaign, USA

Fermionic spectra in integrable models

Sandrine Péché, Université Paris-Diderot, France / Joint section 12

Deformed ensembles of random matrices

Seung-Yeal Ha, Seoul National University, Korea / Joint section 17

Lyapunov functional approach and collective dynamics of some interacting many-body systems

Bertrand Eynard, Institut de Physique Théorique, France

An overview of the topological recursion

Jörg Teschner, Universität Hamburg, Germany

Quantization of moduli spaces of flat connections and Liouville theory

 

Stochastic processes, Interacting particle systems, Random media, Random matrices, conformally invariant models, Stochastic networks, Stochastic geometry, Statistical inference, High-dimensional data analysis, Spatial methods.

Connections with sections 3, 5, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17

<Invited Speakers>

Sourav Chatterjee, Stanford University, USA

A short survey of Stein's method

Geoffrey Grimmett, University of Cambridge, UK

Criticality, universality, and isoradiality

Takashi Kumagai, Kyoto University, Japan

Anomalous random walks and diffusions: From fractals to random media

Russell Lyons, Indiana University, USA

Determinantal probability: surprising relations

Michel Ledoux, Université de Toulouse, France

Heat flows, geometric and functional inequalities

Martin Hairer, University of Warwick, UK

Regularity structures(Cancelled)

Terry Lyons, University of Oxford, UK

Rough paths, signatures and the modelling of functions on streams

Timo Seppäläinen, University of Wisconsin, USA

Variational formulas for directed polymer and percolation models

Kenneth Lange, University of California at Los Angeles, USA / Joint section 17

The MM proximal distance algorithm

Alexandre Tsybakov, CREST-ENSAE, France

Aggregation and minimax optinality in high-dimensional estimation

Vladas Sidoravicius, Instituto Nacional de Matemática Pura e Aplicada, Brazil

Criticality and Phase Transitions: five favorite pieces

Bálint Virág, University of Toronto, Canada

Operator limits of random matrices

Martin Wainwright, University of California Berkeley, USA

Constrained forms of statistical minimax: Computation, communication, and privacy

 

Combinatorial structures. Enumeration: exact and asymptotic. Graph theory. Probabilistic and extremal combinatorics. Designs and finite geometries. Relations with linear algebra, representation theory and commutative algebra. Topological and analytical techniques in combinatorics. Combinatorial geometry. Combinatorial number theory. Additive combinatorics. Polyhedral combinatorics and combinatorial optimization.

Connections with sections 1, 2, 3, 4, 7, 9, 12, 14.

<Invited Speakers>

David Conlon, University of Oxford, UK

Combinatorial theorems relative to a random set

Maria Chudnovsky, Columbia University, USA

Coloring graphs with forbidden induced subgraphs

Michael Krivelevich, Tel Aviv University, Israel

Positional games

Daniela Kühn, University of Birmingham, UK / Joint

Hamilton cycles in graphs and hypergraphs: an extremal perspective

Deryk Osthus, University of Birmingham, UK / Joint

Hamilton cycles in graphs and hypergraphs: an extremal perspective

Marc Noy, Universitat Politécnica de Catalunya, Spain

Random planar graphs and beyond

Grigori Olshanski, Institute for Information Transmission Problems, Russia

The Gelfand-Tsetlin graph and Markov processes

János Pach, EPFL, Switzerland and Rényi Institute, Hungary

Geometric intersection patterns and the theory of topological graphs

Van Vu, Yale University, USA

Combinatorial Problems in Random Matrix Theory

Angelika Steger, ETH Zürich, Switzerland

The determinism of randomness and its use in combinatorics

Jacob Fox, MIT, USA

The graph regularity method: variants, applications, and alternative methods

 

Complexity theory and design and analysis of algorithms. Formal languages. Computational learning. Algorithmic game theory. Cryptography. Coding theory. Semantics and verification of programs. Symbolic computation. Quantum computing. Computational geometry, computer vision.

Connections with sections 1, 2, 3, 4, 12, 13, 15.

<Invited Speakers>

Boaz Barak, Microsoft Research, USA

Sum-of-squares proofs and the quest toward optimal algorithms

Mark Braverman, Princeton University, USA

Interactive information and coding theory

Andrei Bulatov, Simon Fraser University, Canada

Counting Constraint Satisfaction Problems

Julia Chuzhoy, Toyota Technological Institute at Chicago, USA

Flows, cuts and integral routing in graphs - an approximation algorithmist's perspective

Craig Gentry, IBM Research Thomas J. Watson Research, USA

Computing on the Edge of Chaos: Structure and Randomness in Encrypted Computation

Ryan O'Donnell, Carnegie Mellon University, USA

Social choice, computational complexity, Gaussian geometry, and Boolean functions

Ryan Williams, Stanford University, USA

Algorithms for circuits and circuits for algorithms: connecting the tractable and intractable

Sergey Yekhanin, Microsoft Research, USA

Codes with local decoding procedures

 

Design of numerical algorithms and analysis of their accuracy, stability, and complexity. Approximation theory. Applied and computational aspects of harmonic analysis. Numerical solution of algebraic, functional, stochastic, differential, and integral equations. Grid generation and adaptivity.

Connections with sections 8, 9, 10, 12, 14, 16, 17.

<Invited Speakers>

Rémi Abgrall, University of Zürich, Switzerland

On a class of high order schemes for hyperbolic problems

Chi-Wang Shu, Brown University, USA

Discontinuous Galerkin method for time-dependent convection dominated partial differential equations

Yalchin Efendiev, Texas A&M University, USA

Multiscale Model Reduction with Generalized Multiscale Finite Element Methods

Annalisa Buffa, Istituto di Matematica Applicata e Tecnologie Informatiche "E. Magenes", C.N.R, Italy

Spline differential forms

Denis Talay, INRIA, France

Singular stochastic computational models, stochastic analysis, PDE analysis, and numerics

Ya-xiang Yuan, Chinese Academy of Sciences, China / Joint section 16

A review on subspace methods for nonlinear optimization

 

Minimization problems. Controllability, observability, stability. Robotics. Stochastic systems and control. Optimal control. Optimal design, shape design. Linear, non-linear, integer, and stochastic programming. Applications.

Connections with sections 9, 10, 12, 15, 17.

<Invited Speakers>

Friedrich Eisenbrand, École Polytechnique Fédèrale de Lausanne, Switzerland

Recent results around the diameter of polyhedra

Pierre Rouchon, Mines ParisTech, France

Models and feedback stabilization of open quantum systems

Adrian Lewis, Cornell University, USA

Nonsmooth optimization: conditioning, convergence, and semi-algebraic models

Luc Robbiano, Université de Versailles Saint-Quentin-en-Yvelines, France

Carleman estimates, results on control and stabilization for partial differential equations

Monique Laurent, Centrum Wiskunde & Informatica and Tilburg University, Netherlands

Optimization over polynomials: selected topics

Jiongmin Yong, University of Central Florida, USA

Time-inconsistent optimal control problems

 

Mathematics applied to the physical sciences, engineering sciences, life sciences, social and economic sciences, and technology. Bioinformatics. Mathematics in interdisciplinary research. The interplay of mathematical modeling, mathematical analysis, and scientific computation, and its impact on the understanding of scientific phenomena and on the solution of real life problems.

Connections with sections 9, 10, 11, 12, 14, 15, 16.

<Invited Speakers>

Weizhu Bao, National University of Singapore, Singapore

Mathematical Models and Numerical Methods for Bose-Einstein Condensation

Anna Gilbert, University of Michigan, USA

Sparse Analysis

Eric Cances, École des Ponts ParisTech, France

Mathematical models and numerical methods for electronic structure calculation

Andrea Braides, Universitá di Roma Tor Vergata, Italy

Discrete-to-continuum variational methods for lattice systems

Jean-Michel Morel, École Normale Supérieure de Cachan, France

A mathematical perspective of image denoising

Barbara Niethammer, University of Bonn, Germany

Scaling in kinetic mean-field models for coarsening phenomena

Hinke Osinga, The University of Auckland, New Zealand

Computing global invariant manifolds: techniques and applications

Batmanathan Dayanand (Daya) Reddy, University of Cape Town, South Africa

Numerical approximation of variational inequalities arising in elastoplasticity

Andrew Stuart, University of Warwick, UK

Uncertainty Quantification in Bayesian inversion

Thaleia Zariphopoulou, University of Texas at Austin, USA

Stochastic modeling and methods in optimal portfolio construction

 

All aspects of mathematics education, from elementary school to higher education. Mathematical literacy and popularization of mathematics.

<Invited Speakers>

Étienne Ghys, CNRS, École Normale Supérieure de Lyon, France

The internet and the popularization of mathematics

Günter M. Ziegler, Freie Universität Berlin, Germany

Teaching and learning ``What is Mathematics''

<Panels>

Deborah Ball, University of Michigan, USA

William Barton, University of Auckland, New Zealand

Jean-Marie Laborde, Université Joseph Fourier, France

Man Keung Siu, University of Hong Kong, Hong Kong

Christiane Rousseau, Université de Montréal, Canada

Eduardo Colli, Universidade de Sāo Paulo, Brazil

Fidel Nemenzo, University of the Philippines, Philippines

Konrad Polthier, Universität Freie Berlin, Germany

 

Historical studies of all of the mathematical sciences in all periods and cultural settings.

<Invited Speakers>

Han Qi, Chinese Academy of Sciences, China

Knowledge and Power: A Social History of the Transmission of Mathematics Between China and Europe during the Kangxi Reign (1662-1722)

Reinhard Siegmund-Schultze, University of Agder, Norway

One hundred years after the Great War - A century of breakdowns, resumptions and fundamental changes in international mathematical communication

Dominique Tournes, University of La Reunion, France

Mathematics of engineers: elements for a new history of numerical analysis