Conférences  >  Physique  >  Physique mathématique

The mathematics and physics around gauge theory have, since their first interaction in the mid 1970's, prompted tremendous developments in both mathematics and physics. Deep and fundamental tools in partial differential equations have been developed to provide rigorous foundations for the mathematical study of gauge theories. This led to ongoing revolutions in the understanding of manifolds of dimensions 3 and 4 and presaged the development of symplectic topology. Ideas from quantum field theory have provided deep insights into new directions and conjectures on the structure of gauge theories and suggested many potential applications. The focus of this program will be those parts of gauge theory which hold promise for new applications to geometry and topology and require development of new analytic tools for their study.

Physique numérique,    Cours et évènements pour étudiants en mathématiques

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Cours et évènements pour étudiants en mathématiques,    Mathématiques numériques

American Institute of Mathematics (AIM)

This workshop, sponsored by AIM and the NSF, will be devoted to exploring and solidifying connections between the mathematical study of higher categories and the exotic physics of topologically ordered systems.

Shiv Nadar University

Email.: pradip.kumar@snu.edu.in

zero mean curvature surfaces, Lorentz Minkowski space.

The Fields Institute

The synthetic approach towards understanding Ricci curvature in the Riemannian setting has lead to groundbreaking results over the past quarter century. Recent advances towards developing a synthetic version of sectional and Ricci curvature in the Lorentzian setting and of Scalar curvature in the Riemannian setting is highly promising and should lead to deeper understanding of Einstein's theory of gravity. Identifying the relevant notions of convergence for spacetimes is another topic of current interest encompassed by this workshop.

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Casa Matemática Oaxaca (CMO)

Centro de Ciencias de Benasque Pedro Pascual

Mathematical Sciences Research Institute (MRSI)

This workshop will bring together researchers working on new four-dimensional gauge theories from the perspectives of differential geometry, algebraic geometry, and physics. Over the last 25 years, physicists have made tantalizing conjectures relating the Vafa–Witten equation to modular forms and the Kapustin–Witten and Haydys–Witten equations to knot theory and the geometric Langlands programme. The analytical challenges in the way of establishing these predictions are now being pursued vigorously. More recently, algebraic geometers have had enormous success in confirming and refining Vafa–Witten's predictions for projective surfaces. The workshop will serve as a platform for reporting on recent progress and exchanging ideas in all of these areas, with the aim of strengthening existing and fostering new interactions.

Casa Matemática Oaxaca (CMO)

UC Santa Barbara, Kavli Institute for Theoretical Physics (KITP)

Progress achieved via field observations, laboratory experiments, numerical simulations and theoretical approaches has led to significant advances in our understanding of geophysical and environmental fluid flows involving bubbles, drops and particles. This conference intends to bring together researchers whose primary expertise lies in the physics of particle- and droplet-laden flows in the geosciences to discuss common approaches to understanding the multi-scale and multi-physics nature of the multiphase geophysical flows across problems ranging from the dynamics of clouds to the transport of granular material over complex and erodible surfaces.

The Research Institute for Mathematical Sciences (RIMS)

The Research Institute for Mathematical Sciences (RIMS)

Statistique, Théorie des jeux,    Mathématiques appliquées (en général)

The Research Institute for Mathematical Sciences (RIMS)

The Research Institute for Mathematical Sciences (RIMS)

Egyptian Center for Theoretical Physics (ECTP)

We are witnessing a profound rapid change in our understanding of the phenomenon of Gravitation. We are exploring various implications of the general theory of relativity, and of its modified versions, in which gravitation is a consequence of the curvature of spacetime and also various investigations into the mathematical foundations of the general theory of relativity, the nature of spacetime, and the imprints of quantum mechanics. We have been commissioning sophisticated high energy experiments aiming at understanding the elementary particles that are the fundamental constituents of baryonic and leptonic matter and their underlying forces.

Event Secretariat;     Tél.: [+201002390604];     Email.: a.tawfik@cern.ch

High-Energy Physics (Theory, Experiment, Phenomenology, and Simulation), Astronomy (General Relativity, Quantum Gravity, Nature of Spacetime, Nature of Time, Gravity and Modified Gravity Theories, EM/GW Observations, Simulations, Singularities, Black holes, Early Universe, Ultra high-energy cosmic rays).

Astronomie, astrophysique et cosmologie,    Physique des hautes énergies, des particules et des champs

CIRM – Centre International de Rencontres Mathématiques

Relativistic Quantum Mechanics is central in Physics and Mathematical Physics. It plays a very important role in the analysis of many relevant topics in that field. The basic operator for relativistic models is the Dirac operator. Contrary to the case of the non-relativistic Schrödinger operator, the Dirac operator is not semi-bounded, its spectrum being real and unbounded in both directions, for positive and negative values having a gap (−m, m), m the mass of the particle, in the middle of the essential spectrum. This property has many consequences, both for the physical interpretation of the solutions of the models based on the Dirac operator as for the much more difficult mathematical analysis of those models. These difficulties arise already at the level of one-particle systems. For N-particle systems, the difficulties arising from the total unboundedness of the operator together with the usual difficulties for N-particle systems in Quantum Mechanics are very stimulating mathematically, since they are the source of a large number of very interesting and difficult problems that are far from being understood at the moment. Various groups of mathematicians and mathematical physicists have specialized on these topics in the past two or three decades and have produced already a good amount of important results. But much remains to be understood and proved. The aim of this workshop is to stimulate the interaction of researchers in all those groups, researchers who have different approaches, points of view and methodologies. Also many of them have so far specialized on a part of the theory, and open discussions about the models, the difficulties to analyze them, the existing methods, the new perspectives to tackle more difficult problems out of reach at the moment, among all of them should be a great opportunity for making progress and opening new perspectives for the future.

Mécanique quantique et l'information quantique,    Physique des hautes énergies, des particules et des champs

Chulalongkorn University

Gravitation and Cosmology, Math and Math Physics, Theory-HEP, Lattice

Physique des hautes énergies, des particules et des champs,    Astronomie, astrophysique et cosmologie

The Research Institute for Mathematical Sciences (RIMS)

Algèbre,    Théorie des groupes

UC Santa Barbara, Kavli Institute for Theoretical Physics (KITP)

The last several years have seen rapid development of a new language for conformal field theory(CFT), including insights from the conformal bootstrap program. This conference will bring to bear the modern arsenal of conformal field theory on the foundations of holography and quantum gravity. A theme of the conference will be the extent to which consistency conditions on quantum gravity are inherited from those of CFT, and whether they naturally lead to string/M-theory. By bringing together scientists on both sides of holographic duality, we hope to explore these issues in a broad way.Topics to be covered include large N bootstrap and the structure of holographic CFTs dual to general relativity; CFT sum rules and gravitational effective field theory; aspects of supersymmetry in holography; low-dimensional holography, modularity and quantum chaos; black holes from strongly-coupled finite temperature physics; symmetry constraints on gravitational path integrals and AdS vacua; S-matrices, their relation to CFT correlators, and holography away from AdS.

Astronomie, astrophysique et cosmologie,    Algèbre

Chulalongkorn University

The workshop will focus on mathematical physics of discrete systems, and in particular its applications to random geometries. Real-life motivations for such studies range from attempts to quantize gravity to problems in condensed matter physics to mathematical modelling of cooperative phenomena in macroscopic communities.

1) Discrete random geometries with applications to gravity quantization, 2) Discrete mathematical models in equilibrium and non-equilibrium statistical physics (the Ising model and its relatives, percolation, lattice gases, etc), 3) Random matrix and tensor models, 4) Random graphs and dynamics of complex networks, 5) Topics in lattice gauge theory (especially with emphasis on analytic approaches), 6) Conformal field theories (especially with connections to the above subjects), 7) Discrete dynamics (cellular automata, spin chains, etc).

Théorie des graphes et combinatoire,    Réseaux complexes

ICMS - International Centre for Mathematical Sciences

There is a history of fruitful links between low-dimensional topology and number theory, going back at least to Mazur's observation that primes in number rings can be viewed as analogues of knots in a 3-manifold. More recently, the introduction of arithmetic gauge theory by M. Kim and collaborators paves the way to further bring ideas from theoretical physics to bear on fundamental problems in number theory and arithmetic geometry. This conference aims to explore this exciting new direction, and the links between number theory, topology and physics in general, with a particular focus on the role played by gauge fields as a unifying framework.

Théorie des nombres, arithmétique,    Géométrie et topologie

Optimal Transport theory contains the core of the solutions to diverse problems in science, in applied mathematics, physics and astrophysics. Recent advances and developments of fast new algorithms have paved the way for major breakthroughs in different domains of research. Optimal transport bears deep-rooted connections with mechanics and physics through variational calculus. The goal of this workshop is to describe recent developments, highlight connections with physical phenomena and harbour discussions to define new challenges, help start projects between participants and draw new research path in the field. The aim is to exploit applications of optimal transport theory to physics and bring together different expertise, from mathematics, Physics and computational science.

Tél.: [0033695753862];     Email.: mohayaee@iap.fr

OPTIMAL TRANSPORT THEORY, FLUID MECHANICS, STATISTICAL PHYSICS, ASTROPHYSICS, DATA SCIENCE

Mathématiques appliquées (en général),    Astronomie, astrophysique et cosmologie

ICMS - International Centre for Mathematical Sciences

The past several years have seen landmark progress in the interplay between representation theory, geometry and mathematical physics. Particularly notable have been Braverman, Finkelberg and Nakajima's definition of the Coulomb branch of an N=4 supersymmetric (SUSY) 3d gauge theory, and Mellit's proof of the Hausel-Letellier-Rodriguez-Villegas conjecture on the Poincar\'e polynomials of character varieties. The area has also seen exciting connections to other fields, such as significant progress on the conjectures of Gorsky, Negut and Rasmussen relating coherent sheaves on Hilbert schemes to Khovanov-Rozansky homology. The goal of this conference is to push forward research in areas at the nexus between these results: affine Springer theory, double affine Hecke algebras and Coulomb branches, creating new connections between experts, and exposing young mathematicians to this fast-progressing and exciting research area.

UC Santa Barbara, Kavli Institute for Theoretical Physics (KITP)

Recent developments in several disparate areas make it a pressing and opportune time to confront the interplay between topology, symmetry and interactions. This conference will catalyze the discussion on this broad topic by highlighting a burst of recent advancements, both theoretical and experimental, along this direction. An important goal is to enhance cross-talk between the weakly and strongly correlated communities interested in topology that have not yet had adequate interactions with each other. The conference will bring participants up to speed in this rapidly growing field and sharpen the central questions that will be discussed in the remainder of the associated program.

Physique de la matière condensée et des matériaux,    Géométrie et topologie

EuroStrings 2023 is part of a cycle of yearly conferences gathering researchers from all over Europe and elsewhere, working in the areas of quantum field theory, string theory, quantum gravity and related topics. We hope that this conference will be an opportunity for having exciting scientific discussions and fostering new collaborations. Everybody interested in participating in the workshop is happily invited to register and participate.

UC Santa Barbara, Kavli Institute for Theoretical Physics (KITP)

Nanoparticle assembly is a hierarchical approach to functional materials. It operates at the mesoscale where elementary building blocks still feel their atomic nature and can profit from quantum function but at the same time are flexible enough in shape and interaction to permit high structural complexity. The realization of nanoparticle assemblies requires the convergence of and communication among several scientific disciplines: chemistry for synthesis, materials science for characterization, chemical engineering for up-scaling, and physics for a theoretical description and quantum phenomena. The goal of the conference will be to provide a coherent view of the current state of the field, bringing together researchers with different expertise and background. It should catalyze the development of new methods, both theoretical, computational and experimental, and define the basic science in this field. A focus will be recent developments but also a look forward: What should be the focus for the next decade and beyond? What are they key physics concepts that need to be developed and from where will the new game-changing technological advances emerge?

Agrégats, nanomatériaux, graphène et fullerène,    Géométrie et topologie

ICMS - International Centre for Mathematical Sciences

Quantum technology is a vibrant discipline of research with numerous applications in all areas of science. The particular interest for this workshop lies in the area of quantum information and the control of quantum systems. While traditionally these disciplines have worked with finite-dimensional mathematical models for the sake of simplicity and since it has appeared sufficient, ever-growing physical systems and progress in experimental realisations make it natural to ask what happens in infinite dimensions: in the end, for large systems, infinite-dimensional approximations can often simplify the description of the finite-dimensional system; moreover, many systems are simply not finite-dimensional and hence a reliable mathematical description is needed. In this research workshop we would like to look at a number of current research themes in the wider area of quantum information such as robust quantum control, long-term stability of quantum systems, entanglement breaking channels and the divisibility of channels. By gathering experts from these areas, this workshop will stimulate discussions and cross-pollination, to look at common structures and frameworks, and to study the transition from finite to infinite dimensions and convergence properties in all of them.

ICMS - International Centre for Mathematical Sciences

This workshop aims to bring together experts on singularity formation from mathematical general relativity as well as from dispersive PDE to map out the current frontiers of the fields, stimulate the transfer of ideas, foster discussions and new collaborations, and to inspire the new generation of researchers to take up the challenges this field holds. On the side of general relativity the workshop focuses on the topics of naked singularities, singularities inside black holes, as well as cosmological singularities. On the side of dispersive PDE the workshop aims to discuss the characterisation of general singularities and blow-up dynamics.

Astronomie, astrophysique et cosmologie,    Calcul infinitésimal, équations différentielles et intégrales

Dept. of Mathematics, Stockholm University, SWEDEN

Marcus Wallenberg Symposium in memory of SERGEY NABOKO

Mathématiques appliquées (en général),    Analyse

The next European conference on few-body problems in physics (EFB25) will be held in Mainz, Germany, from July 30th to August 4th, 2023. This will be the 25th edition of this conference series, which has previously taken place in Guildford (2019), Aarhus (2016), Krakow (2013), Salamanca (2010), and Pisa (2007). Like the previous conferences, this conference will give the possibility to present and discuss recent developments in the field of few-body systems, i.e., systems which can be understood in terms of a few degrees of freedom.

This Conference will focus on recent developments in the field of few-body systems in the following areas: Hadron physics; Nuclei and hypernuclei ; Electroweak processes; Nuclear astrophysics; Cold atoms and quantum gases; Atoms and molecules; Few-body methods; Few-body aspects of many-body systems

Physique nucléaire,    Physique atomique et moléculaire

Casa Matemática Oaxaca (CMO)

This workshop on pathological behaviors of solutions to fluid equations brings together experts in mathematical fluid mechanics to discuss recent exciting developments in this direction from the mathematical point of view, as well as their relevance to turbulence.

Galileo Galilei Institute For Theoretical Physics

Physique des hautes énergies, des particules et des champs,    Accélérateurs de particules

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Simulation,    Physique numérique

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Mécanique quantique et l'information quantique,    Physique des hautes énergies, des particules et des champs

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Most of the many discrete optimization problems arising in the sciences, engineering, and mathematics are NP-hard, that is, there exist no efficient algorithms to solve them to optimality, assuming the conjecture that P does not equal NP. The area of approximation algorithms focuses on the design and analysis of efficient algorithms that find solutions that are within a guaranteed factor of the optimal one. Loosely speaking, in the context of studying algorithmic problems, an approximation guarantee captures the quality of an algorithm -- for every possible set of input data for the problem, the algorithm finds a solution whose cost is within this factor of the optimal cost. A hardness threshold indicates the difficulty of the algorithmic problem -- no efficient algorithm can achieve an approximation guarantee better than the hardness threshold assuming that P does not equal NP. Over the last two decades, there have been major advances on the design and analysis of approximation algorithms, and on the complementary topic of the hardness of approximation. The goal of the workshop is to focus on a few key topics that could lead to deep new results in the areas of approximation algorithms, combinatorial optimization, hardness of approximation, and proof complexity.

Physique numérique,    Algorithmes et structures de données

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

The workshop is conceived in response to recent breakthroughs in physics and mathematics. One is the real quantization of Hitchin moduli spaces due to Gaiotto and Witten, and the other is a deformation quantization theory of Kontsevich and Soibelman that has achieved a vast mathematical foundation and generalization of topological recursion of Eynard and Orantin in random matrix theory. The vision of the organizers is that these two theories should be related through mirror symmetry. The workshop is organized to test this vision, and to explore its mathematical consequences.

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Motivated by theoretical work that pointed to new opportunities, tremendous progress has been made over the past several years in using moiré superlattices formed from two-dimensional materials as a laboratory for the study of quantum materials. This development has opened up an exciting new scientific opening, one in which mathematics and theoretical physics have a very large role to play by identifying moiré systems that are likely to exhibit new or poorly understood electronic phenomena, by inventing mathematical methods that enable testable predictions of physical properties, and by unravelling the meaning of experimental observations.