Services aux conférences Mandl

Résumé: In recent years, the most interesting developments in the theory of two-dimensional critical phenomena have emerged from a developing field that might be called Conformal Probability Theory which complements the extensive work (starting from the 1970's) in the Physics community on Conformal Field Theory. Substantial progress has been made in understanding the random fractal geometry of such two-dimensional systems as critical percolation and critical Ising models and their relation with such classic probabalistic objects as the frontier of two-dimensional Brownian motion. Among the topics to be treated in this workshop are: SLE and its Extensions, Critical and Near-Critical Scaling Limits, Gaussian Free Field, Coulomb Gas Methods, Relation to Conformal Field Theory and Quantum Gravity.

Résumé: The goal of the program is to bring together the world leaders in spectral theory of random Schrödinger operators and theoretical physicists successfully working on the problem of Anderson localization. Among the topics that will be addressed during the program are: The nature of critical phenomena associated with localization-delocalization transitions; The existence and statistical properties of extended states for D > 2 and the behaviour in the critical dimension D = 2; Rigorous version of supersymmetric methods and of the nonlinear s-model techniques; The localization-delocalization phenomena associated with the Integer Quantum Hall effect; Rigorous mathematical understanding of the relation between magnetic Schrödinger operators and network models, and the connection with quantum percolation; Localization in the presence of a random magnetic field; Behaviour of products of random matrices and associated Lyapunov exponents; Localization and delocalization in disordered systems characterised by non-selfadjoint operators; Dynamical localization in Quantum Chaotic systems; Localization in systems with aperiodic potential, as well as in models with correlated or long-ranged disorder; Localization in systems with nonlinearities, and localization-delocalization phenomena in disordered systems of interacting quantum particles.

Résumé: Among the recent developments in the study of algebraic structures, three strongly interrelated trends seem to be outstanding: a quest for a more algebraic version of noncommutative geometry, generalizations of Hopf algebras as symmetry structures, and the program of categorification. A powerful complement to the latter is the idea of considering algebraic or physical structures on whole categories rather than on individual mathematical objects. The conference aims to relate progress in these directions stemming from work in different subfields of mathematics, including algebra, representation theory, algebraic geometry, operator algebras, and theoretical and mathematical physics.

Résumé: The Programme will consist of four overlapping three-week sessions, each devoted to a selected topic.

Résumé: In recent years, the most interesting developments in the theory of two-dimensional critical phenomena have emerged from a developing field that might be called Conformal Probability Theory which complements the extensive work (starting from the 1970's) in the physics community on Conformal Field Theory. Substantial progress has been made in understanding the random fractal geometry of such two-dimensional systems as critical percolation and critical Ising models and their relation with such classic probabalistic objects as the frontier of two-dimensional Brownian motion.

Résumé: The first week of the symposium, August 11-15, will be held at the Mathematics Department of the Federal University of Pernambuco and will consist of five mini courses. The second week of the symposium, August 18-22, will be held at the Venta Club Serrambi and will consist of plenary talks by invited speakers and short talks by junior scientists. The organizers invite applications from juniour researchers (Ph.D. degree no earlier than 2003) and graduate students for financial support. Prospective applicants should contact the organizers ASAP.

Résumé: Nonlinear wave interactions lie at the heart of numerous physical phenomena and the mathematical modelling of these systems has driven the development of a broad and vibrant field of mathematical research. The study of nonlinear wave equations has lead to the development of numerous mathematical techniques including aspects of scattering theory, asymptotic expansions, perturbation theory, as well as substantial advances in numerical simulation methods for wave propagation. This workshop will bring together researchers with expertise both in the numerical and analytic aspects of nonlinear wave problems and provide opportunity for students and other researchers to share in the latest developments in these areas. The format of the workshop will be 4 short courses each consisting of 3-4 hours of lectures over 3 days. Students and other researchers will be invited to present their work as short lectures.

Résumé: The proposed conference aims to bring together all the researchers working in various fields of Mathematics, Mathematical Physics and related areas such as Analysis, Non-linear Analysis, Number Theory, p-adic Analysis, Special Functions, q-Analysis, Mathematical Physics and their applications.

Résumé: This conference, to be held at the Royal Institute of Technology in Stockholm, brings together leading specialists on nonlinear wave equations, geometric analysis and general relativity. Among the topics to be covered are Ricci flow, conformal geometry, nonlinear wave equations, black hole uniqueness and stability, as well as aspects of the constraint equations and the initial value problem for the Einstein equations.

Résumé: The aim of this workshop is to bring together applied mathematicians and theoretical physicists to stimulate the exchange of ideas between leading experts in the fields of lattice QCD and numerical analysis. The algorithms used for QCD computations have been growing in sophistication over the years, making use of mathematical methods including stochastic processes, linear algebra, approximation theory, multi-scale techniques, and symplectic integrators. The interplay between physicists and mathematicians has become more valuable as the level of sophistication increases, with both sides contributing innovative and powerful new approaches.

Résumé: The Fall Workshops on Geometry and Physics have been held yearly since 1992, and bring together Spanish and Portuguese geometers and physicists, along with an ever increasing number of participants from outside the Iberian peninsula. The main topics of the meeting are: Lie algebroids and mechanics, Lorentz and Poisson geometries, Riemannian geometry, symplectic and contact geometries, mechanics of continuous media, quantum mechanics, relativity, supergravity and supersymmetry, integrable systems, control theory, classical theory of fields, and string theory.

Résumé: The purpose of the workshop is to bring together mathematicians, physicists, and students interested in the interaction between topology and physics. Six invited lectures will describe various classical and current aspects of this interaction at a level appropriate to an audience of non-specialists. Poster sessions and extended discussion periods will provide the opportunity for participants to exchange ideas and establish contacts and collaborations.

Résumé: The 7th EUROMECH Fluid Mechanics Conference will be held at the University of Manchester, organised by the School of Mathematics and the Manchester Institute of Mathematical Sciences. The conference aims to provide an international forum for the exchange of information of all aspects of fluid mechanics, including instability and transition turbulence, multi-phase and non-Newtonian flows, bio-fluid mechanics, reacting and compressible flows, numerical and experimental methods, as well as applications.

Résumé: Physical duality symmetries relate special limits of the various consistent string theories (Types I, II, Heterotic string and their cousins, including F-theory) one to another. By comparing the mathematical descriptions of these theories, one reveals often quite deep and unexpected mathematical conjectures. The best known string duality to mathematicians, Type IIA/IIB duality also called {it mirror symmetry}, has inspired many new developments in algebraic and arithmetic geometry, number theory, toric geometry, Riemann surface theory, and infinite dimensional Lie algebras. Other string dualities such as Heterotic/Type II duality and F-Theory/Heterotic string duality have also, more recently, led to series of mathematical conjectures, many involving elliptic curves, K3 surfaces, and modular forms.

Résumé: Consistent with the aims of ISIMM, mathematical modelling will be at the focus. The formulation and analysis of problems issued from physics, engineering and other disciplines will be welcome.

Résumé: The aim of this conference is to strengthen interaction between algebra, differential geometry and theoretical physics. The scope of conference includes the following topics: noncommutative geometry, operad and group theoretical methods, generalizations of Lie algebras, non-associative systems, quantum groups, Hopf algebras, categorical physics, integrable systems.

Résumé: Building on the growing success of its previous editions, one of the main objectives of this fifth COPROMAPH Workshop is to contribute to the development of a critical mass of researchers in Africa in as dynamic an area as is mathematical physics. The Workshop brings together specialists in Mathematics, Theoretical and Mathematical Physics. It offers the international scientific community an arena for interactions and presentations of scientific research results on contemporary problems in these fields. The Workshop also provides young African researchers an opportunity to know each other and initiate scientific collaboration. The Workshop thereby contributes in strengthening the research capacity and revitalizing activities in mathematical physics in African universities. Given that perspective, the Workshop is preceded by the Third International COPROMAPH School dedicated to methods in Geometry and Quantisation to lay the ground-work in preparation of the Workshop, through two series of graduate level lectures, accompanying tutorials, and student seminars.

Résumé: This conference, in honor of the 70th birthday of Herman Gluck, will address two topics in the application of geometry to other fields: (1) calibrated geometry and its applications to physics; (2) the application of geometry to knot theory, including topics such as Freedman's Mobius energy and Nabutovsky's ropelength.

Résumé: The focus of this workshop will be on the modeling, analysis and simulation of fast reaction-slow diffusion type scenarios as well as corresponding fast-reaction limits. Within this framework, internal sharp and thin reaction layers form and travel through the spatial domain often producing unexpected effects. Such situations appear in a variety of significant applications; for example fame propagation in combustion theory, segregation and aggregation of biological individuals, chemical attack on reactive porous materials (such as concrete or natural stone), dissolution and precipitation reactions in minerals, solidification and temperature-induced phase transitions in steels represent typical cases in which the fast process is localized within an a priori unknown internal active layer.

Résumé: Over the years during the 20th century every branch of Mathematics, Pure or Applied, has been enriched and developed through continuous efforts, cultivation and contribution by researchers in different fields like Social, Physical, Mathematical and Engineering Sciences. Analysis of scientific thoughts and problems of science and engineering have been made through the language of Mathematics and as a result Mathematics as a subject has got continuous and intensive development through the passage of time. The purpose of holding such conferences is to bring together, on a common platform, scientists, engineers and researchers along with other eminent academic personalities in selected pure and applied branches. They would get ample scope to make exchange of views, ideas and thoughts besides presentation of papers and development of Mathematics as results of intensive research in the area of the conference-themes.

Résumé: Signal processing constitutes an important area for the application of mathematical concepts and techniques fuelled, for example, by developments in mobile communications, multimedia systems and digital TV. The subject is still advancing rapidly in areas such as non-linear/non-Gaussian/non-stationary signal processing, digital communication systems, iterative estimation (e.g. turbo codes), blind deconvolution/signal separation and broadband systems. The last IMA conference on this subject was held in December 2006 and in response to popular demand, the next one will be held at the same location in December 2008. The aim of the conference is to bring together mathematicians, statisticians and engineers with a view to exploring recent developments and identifying fruitful avenues for further research. It is hoped that the meeting will help to attract more mathematicians into this important and challenging field.

Résumé: This workshop is devoted to random fields such as Gaussian random fields.

Résumé: The last five years have seen significant progress in applying the methods of integrable systems to the cutting-edge problems of statistical physics. Remarkably, quite similar mathematical ideas have surfaced in different fields of theoretical physics such as the exact theory of nonlinear replica sigma models in the random-matrix-theory (RMT) limit, non-equilibrium dynamics of quantum systems, integrable theory of universal quantum transport in chaotic structures, various models of growth processes, and more.

The purpose of this workshop is to bring together active researchers from several field of mathematical and theoretical physics where the integrability constitutes either a central paradigm or an important calculational tool. Not less importantly, we also wish to encourage a dialogue between experienced practitioners of the theory of integrable hierarchies and the physicists of seemingly far-apart disciplines whose research may potentially benefit from the fruitful ideas of integrability.

The workshop topics include (but not restricted to) (i) Mathematical theory of integrability for physicists; (ii) Integrability of replica field theories in the RMT limit; (iii) Nonhermitean random matrices, growth processes, and integrable systems; (iv) Heuristic replica applications in RMT and beyond; (v) Novel field-theoretic approaches in RMT and mesoscopics.

Résumé: This workshop, sponsored by AIM and the NSF, will be devoted to the 3D Euler equations of incompressible fluids and the 2D surface quasi-geostrophic (QG) equation of geophysical flows.

Résumé: Statistical mechanics provides the formalism of Gibbsian ensembles for computing properties of equilibrium systems from a knowledge of the microscopic interactions between the constituent particles. Our understanding of nonequilibrium situations is less satisfactory. In the field of interacting stochastic particle systems nonequilibrium questions are studied in simplified models that are amenable to mathematically rigorous analysis. This workshop brings together researchers from interacting stochastic systems and related areas to survey recent successes and to map out promising future directions

Résumé: This conference is one of the main venues where significant advances in the analysis and computational modeling of wave phenomena and exciting new applications are presented. Conference themes include but are not limited to forward and inverse scattering, nonlinear wave phenomena, fast computational techniques, high performance computing, numerical analysis, absorbing layers and approximate boundary conditions, analytic and semi-analytic techniques for wave problems, domain decomposition, guided waves, random media etc.