Conferences  >  Physics  >  Mathematical Physics

The high luminosity collected by the LHC experiments and the accurate theoretical predictions enable precise tests of the SM under unprecedented conditions. However, severe challenges need to be addressed in order to exploit this untapped potential. The vastness of the LHC data and the variety of possible measurements requires the exploration to be guided towards those quantities or differential distributions that can reveal new physics, compatibly with existing constraints, or that are expected to reveal new physics in concrete BSM scenarios. The possibility of predicting these observables with sufficient accuracy needs to be assessed, and ensured by precision calculations. Finally, experimental strategies need to be devised by which precise measurements are performed of the relevant observables.

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.

Institute for Advanced Study in Mathematics (IASM) in Hangzhou, China

In 2009 a new direction in variational calculus was proposed, called Lagrangian multiform theory (also referred to as pluri-Lagrangian systems), which breaks with the conventional approach in a fundamental way: in this new theory the Lagrangian is no longer a simple function of the fields, but an extended object (a differential or difference p-form). Furthermore, the Lagrangian is not put in by hand, i.e. chosen on the basis of secondary considerations (such as requiring certain symmetries), but emerges itself as a solution of the principal variational equations. These equations come from varying both the fields (as in the conventional theory) as well as the hyper-surfaces over which the action is integrated in the space of independent variables. The theory forms unique departure from the standard picture, in that it forms the first least-action principle that merges variational calculus with the key integrability notion of 'multidimensional consistency' (which is the key property of integrable systems, comprising the class of remarkable model equations which allow for the coexistence of infinite families of equations on one and the same mathematical functions). The fast development of the theory in the last decade, establishing the basic principles of the classical theory, demonstrating the applications to integrable systems and making the first steps towards a quantum theory, make it very timely to have a meeting on this new subject. The ambition of this novel viewpoint on the least-action principle, possibly as a candidate for a new foundational principle of physics, compel to branch out to researchers working in fundamental physics.

In this program we plan to invite a critical mass of researchers with complementary expertise from across the mathematical physics, condensed-matter physics and string theory communities, to promote common interests and collaborations, discover and open up new directions, and in particular, to develop applications to realistic physical systems.

Integrability has played a central role in understanding non-perturbative QFTs quantitatively leading to important applications in condensed matter physics, mathematical physics and more recently, in string theory. There is considerable activity brewing at the interface of these areas. An important recent development is given by integrability-preserving deformations, which includes the TTbar deformation. This progress further expands the scope of integrability to a larger class of models. At the same time, it leads to new insights on fundamental concepts of 2d quantum field theories such as UV completeness and locality. Another promising and active approach toward nonperturbative physics is provided by duality. In particular, dualities found in the AdS/CFT correspondence and its extensions, known as holography, have provided new insights and exact results by employing exact methods such as integrability and localization. AdS/CFT integrability has inspired remarkable advances in the study of correlation functions, including single-trace operators and those involving D-brane in AdS. The techniques employed are closely connected to the study of finite- volume form factors, and of non-equilibrium dynamics in condensed matter physics. Interest in CFT correlators also connects with the conformal bootstrap program, to which integrability is poised to contribute. As examples of how this might happen, links between Calogero-Sutherland models and conformal blocks have been established; non-perturbative methods for computing OPE coefficients which combine numerical conformal bootstrap approach and integrability have been initiated. Exploring this rich web of connections, between different areas of physics and mathematical physics, is in its infancy.

Institute for Advanced Study in Mathematics (IASM) in Hangzhou, China

The Langlands Programme as we now know it was framed as a research agenda in the late 1960s. At the same time that the Nobel Prize was being awarded to Murray Gell-Mann "for his contributions and discoveries concerning the classification of elementary particles and their interactions," the Langlands Program predicted that the elementary particles of arithmetic -- L-functions -- should be classified by automorphic representations of algebraic groups. One of the pillars of the Langlands Programme is a conjecture, known as the local Langlands Correspondence, which is crucial to attaching complete L-functions to automorphic representations. The local Langlands Correspondence is now a theorem for automorphic representations of quasisplit classical groups by the work of James Arthur, relying on the work of many mathematicians. Arthur packets play a key role in this recent work. This conference gathers together experts on Arthur packets over global and local fields to cross-pollinate ideas and work on open problems.

Institute for Advanced Study in Mathematics (IASM) in Hangzhou, China

Vortex dynamics is at the heart of many unresolved problems in fluid mechanics and is also central to numerous applications in science and engineering. The goal of the proposed meeting is to survey the recent progress in this field focusing on applied mathematics aspects of both classical and emerging problems. We are planning to bring together about 40 researchers at different career stages working on various aspects of vortex dynamics, spanning applied mathematical analysis, scientific computing, physical modeling as well as scientific and engineering applications. A highlight of the workshop will be events designed to foster cross-fertilization between applied mathematics and different application areas.

Kavli Institute for Theoretical Physics (KITP)

While it is widely acknowledged that string theory provides a framework for addressing quantum gravitational (and even quantum field theoretic) questions, the precise nature of its organizational principle remains obscure. Nearly three decades ago, when the question “What is string theory?” was asked, the perturbative string worldsheet viewpoint played the starring role. Since then, the discovery of D-branes, string dualities, and the holographic AdS/CFT correspondence has had spacetime dynamics taking center-stage. Much insight has been gleaned from these developments. We now have, for example, a much broader class of string backgrounds with better control over compactifications; strong constraints on the low energy effective field theories; a plethora of gauge-string dualities as well as applications of holographic techniques to a wide class of physical problems; and new angles on semiclassical gravitational physics from a fruitful interplay with quantum information in holography. Together with an influx of new tools and techniques, we have a very rich set of perspectives that illuminate the subject we continue to call string theory. While all these developments are interesting in and of themselves, it is an opportune moment to attempt to synthesize these, often disparate, strands and arrive at a deeper answer to the question in the title.

High Energy Physics, Particles and Fields,    Astronomy, Astrophysics and Cosmology

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

Probability and Statistics, Game Theory,    Courses and Events for Math Students and Early Career Researchers

CIRM – Centre International de Rencontres Mathématiques

Isaac Newton Institute for Mathematical Sciences

The workshop will foster dialogue and interaction among oceanographers, plasma physicists, geophysical and astrophysical fluid dynamicists, soft-condensed-matter physicists, applied mathematicians and biophysicists. The central aim of the workshop is cross-fertilization, formation of new collaborations, and progress toward collective understanding.

Anti-diffusive dynamics: from sub-cellular to astrophysical scales

Applied Mathematics (in general),    Plasma and Gas-discharge Physics, Nuclear Fusion

CIRM – Centre International de Rencontres Mathématiques

The mathematical problem we plan to tackle takes its source in questions concerning graphene and the estimate of energy gaps. The model we study is a two dimensional massless Dirac operator on a regular bounded domain. We are interested in estimating the asymptotic of the gap at zero. More precisely, we want to derive the asymptotics for large magnetic field of the first negative eigenvalue and the first positive eigenvalue.

AKDENIZ UNIVERSITY

The aim of the GFSNP 2024 symposium is to bring together leading scientists of the pure and applied mathematics and related areas to present their research, to exchange new ideas, to discuss challenging issues, to foster future collaborations and to interact with each other. GFSNP 2024 symposium will take place in a hybrid form with Physical and Virtual (Online) participation.

Phone: [902423102343];     Email: ysimsek63@gmail.com

p-adic Analysis, Special Functions, q-Analysis, Quantum physics, Probability and Statistics, Engineering and their applications, moment generating functions, generating functions of the special numbers and polynomials and their applications, the family of zeta functions, the family of Dirichlet type L-functions, Generating function for generalized Fisher information measure, matrix models and generating functions associated with mathematical models and stochastic differential equations, Generating function in graph theory, Generating Functions in Engineering and in Applied Sciences, Generating functions involving deviation generating function, survival function generating function, generating functions discusses a large number of applications in various disciplines including algebra

General Mathematical Research and Multidisciplinary Events,    Applied Mathematics (in general)

CIRM – Centre International de Rencontres Mathématiques

Galileo Galilei Institute

The aim of the school is to bring together PhD students with interests in low-dimensional quantum field theory, conformal field theory and integrable models, and their applications to statistical mechanics and condensed matter systems, and to help them building a solid and specialized background on these subjects. The school provides sets of postgraduate lectures covering introductory topics as well as recent developments in the field.

Courses and Events for Physics Students,    High Energy Physics, Particles and Fields

Galileo Galilei Institute

The aim of the school is to bring together PhD students with interests in low-dimensional quantum field theory, conformal field theory and integrable models, and their applications to statistical mechanics and condensed matter systems, and to help them building a solid and specialized background on these subjects. The school provides sets of postgraduate lectures covering introductory topics as well as recent developments in the field.

Courses and Events for Physics Students,    High Energy Physics, Particles and Fields

Isaac Newton Institute for Mathematical Sciences

This workshop will focus on staircases and layering in magnetized plasmas, with the aim of promoting progress in mathematical modelling by drawing on theory, simulations, and phenomenology. Topics will include edge and core transport barriers, staircases, avalanching and perturbative experiments, reduced models and their validation. The crucial role of the boundary and the boundary conditions will be emphasized. The workshop will explore approaches to profile and confinement optimization, and discuss future research directions, including approaches to ignition, energetic particle effects and the interplay of electron and ion scales.

Anti-diffusive dynamics: from sub-cellular to astrophysical scales

Applied Mathematics (in general),    Plasma and Gas-discharge Physics, Nuclear Fusion

Fields Institute

This conference will bring together communities working on two-dimensional Conformal Field Theory (CFT) from different perspectives, some of which have had only limited interactions so far. We are thinking here specifically of the communities working on the probabilistic approach to CFT, the algebraic & geometric approach to CFT, the operator algebraic approach to CFT, and the theoretical physics approach to 2d CFT.

High Energy Physics, Particles and Fields,    Geometry and Topology

Isaac Newton Institute for Mathematical Sciences

Anti-diffusive phenomena are the remarkable processes whereby up-gradient transport leads to large-scale structure formation. Such self-organization can occur through coarsening, coalescence, a flux between different scales, or a combination of the above. It is particularly striking in systems which are chaotic or turbulent, where there is no known organizing principle such as minimization of energy or a long-wave instability. From the jets on Jupiter to sand ripples on dunes to drop coalescence, large-scale formation can occur in systems of very different scale and physical origin, including oceanographic and atmospheric flows, magnetically-confined plasmas, and active and multiphase fluids. Despite the ubiquity of the phenomena, many open questions remain: are there universal mechanisms underlying the formation and sustainment of large-scale structures, shared by these systems? Is there a common mathematical characterization? What determines the scale to which the structures grow and their resulting shape? What is the feedback between chaotic fluctuations and the large-scale structure? How do bifurcations between different large-scale structures occur in chaotic systems? How are such transitions affected by internal and external perturbations? If the system is bi-stable, are there universal transition paths in such self-organizing systems? The aim of the workshop is to bring together experts from different fields, working on related phenomena from different perspectives, to shed light on these questions.

Anti-diffusive dynamics: from sub-cellular to astrophysical scales

CIRM – Centre International de Rencontres Mathématiques

Institute for Pure and Applied Mathematics (IPAM), UCLA

Geometric structures associated with bipartite graphs on surfaces have recently emerged and turn out to be crucial for studying a variety of problems. On the one hand, probabilists working in statistical mechanics are interested in finding appropriate embeddings of planar graphs that lead to discrete complex analysis theories, which are well suited for observing conformally invariant objects in the scaling limit. In the course of doing so, they established deep connections between specific immersions of the underlying graphs, integrability of the models, and Harnack curves. On the other hand, several spaces of geometric objects have recently been found to be parametrized by weighted bipartite graphs on surfaces, relating them to cluster algebras and integrable systems. These include objects from discrete differential geometry (e.g. Q-nets, Darboux maps), positive Grassmannians, and higher Teichmüller spaces. Moreover, connections between knot theory and the dimer model have started to emerge and beg for a better understanding.

Part of the Long Program Geometry, Statistical Mechanics, and Integrability

Analysis,    Thermodynamics, Fluid Dynamics and Statistical Physics

CIRM – Centre International de Rencontres Mathématiques

CIRM – Centre International de Rencontres Mathématiques

Galileo Galilei Institute

Modularity is a particularly powerful symmetry with many applications in theoretical physics and mathematics, in particular quantum field theory and string theory. Resurgence is a general framework for advanced asymptotics which effectively unifies perturbative and non-perturbative physics via an intricate network of algebraic relations known as Ecalle’s bridge equations. Modularity and resurgence overlap strongly in the goal of exploring non-perturbative completions of perturbative data, leading to profound new insights into the connection between weak coupling and strong coupling, and in the study of dualities, black holes and quantum gravity. The goal of this GGI Workshop is to bring together experts from these two frontier areas in theoretical and mathematical physics to foster further interaction between different scientific communities and to develop novel strategies to address truly significant problems.

CIRM – Centre International de Rencontres Mathématiques

The international conference Loops ‘24 is the most recent in a long tradition of biennial meetings focused on loop quantum gravity and background independent approaches to quantum gravity. The conference will be held from Monday, May 6 through Friday, May 10, 2024, at the campus of Florida Atlantic University in Fort Lauderdale, Florida (USA). The program will feature morning plenary talks complemented by contributed talks. Plenary sessions will be held in the auditorium of the Broward County Main Library one block away from the campus. The conference will highlight recent developments in canonical loop quantum gravity, covariant loop quantum gravity (spin foams), and other approaches to quantum gravity, as well as applications to symmetry-reduced models, quantum cosmology, black holes in quantum gravity, and other topics. Foundational, mathematical, numerical and phenomenological aspects will be covered.

Gravitation and Cosmology

Astronomy, Astrophysics and Cosmology,    High Energy Physics, Particles and Fields

CIRM – Centre International de Rencontres Mathématiques

Isaac Newton Institute for Mathematical Sciences

Our workshop on Anti-Diffusion in Multiphase and Active Flows will bring together specialists in theory, numerical simulations, and experiments to address questions including: Can we draw quantitative connections between the interfacial properties of turbulent multi-phase fluids and those of active structured fluids that can form phases with orientational order — both polar and nematic — and are important to biological applications? What are the roles of active forces and interface anchoring in renormalizing the interfacial tension and driving coarsening kinetics? Can we identify generic classes of extended systems that organize in nonequilibrium statistically steady states, with both spatial and temporal structure? How can we systematize the study of the statistical properties of particles and fields in multi-phase and active-fluid turbulence?

Anti-diffusive dynamics: from sub-cellular to astrophysical scales

Institut de Mathématiques de Toulouse

This event is part of the thematic semester Mathematical Aspects of Quantum Mechanics.

Courses and Events for Physics Students,    Quantum Mechanics and Quantum Technology

The International Congress on Mathematical Physics, on its three year cycle, is the most important conference of the International Association of Mathematical Physics, whose current president is Bruno Nachtergaele. It will be a major event, where new results and future challenges will be discussed, illustrating the richness and vitality of Mathematical Physics. We hope that you will all be able to attend and contribute to the success of the meeting.

The International Symposium on Lattice Field Theory is an annual conference that attracts scientists from around the world. Originally started as a place for physicists to discuss recent developments in lattice gauge theory, the conference is now the largest of its type and has grown to cover strongly interacting phenomena in many contexts such as particle physics phenomenology and nuclear theory, as well as algorithms, code development and machine architectures.

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

MIAPbP - Munich Institute for Astro-, Particle and BioPhysics an institute of the Excellence Cluster ORIGINS

Fertile common ground has emerged for the mathematical structures that control perturbative calculations in different domains of fundamental physics – quantum field theory, general relativity, and their extension to string theory. This program brings together experts in these various domains of physics, as well as mathematicians with expertise in higher-genus surfaces and Calabi-Yau periods. Through an in-depth exchange among these communities, we aim to: · trigger technology transfer for advancing the precision frontier in perturbative quantum field theory and string theory, leading to insights that will impact both phenomenology, such as collider and gravitational-wave physics, and formal theory, such as string dualities and holography; · chart a course towards new understanding of the role of special functions in high energy physics, opening new avenues to reformulate quantum field theory and string theory to manifest the similarities of their mathematical structures.

High Energy Physics, Particles and Fields,    Courses and Events for Physics Students

Galileo Galilei Institute

The workshop aims at bringing together world experts in precision Standard Model phenomenology in response to the anticipated accuracy of new high-quality data from Run 3 of the LHC. With an increasing number of experimental analyses limited by theoretical uncertainties the theory community is challenged to provide predictions with a matching precision and to continue the development of frontier tools. Starting from an overview of available theoretical predictions and gathering feedback from the experimental community, areas in need for improvements will identified. The ultimate goal is to lay the foundations for precision measurements of Standard Model observables during future runs of the LHC. A kick-off conference will be held in the first week (August 28 to September 01, 2023) as a basis for the activities during the rest of the workshop.

Galileo Galilei Institute

The workshop aims at bringing together world experts in precision Standard Model phenomenology in response to the anticipated accuracy of new high-quality data from Run 3 of the LHC. With an increasing number of experimental analyses limited by theoretical uncertainties the theory community is challenged to provide predictions with a matching precision and to continue the development of frontier tools. Starting from an overview of available theoretical predictions and gathering feedback from the experimental community, areas in need for improvements will identified. The ultimate goal is to lay the foundations for precision measurements of Standard Model observables during future runs of the LHC. A kick-off conference will be held in the first week (August 28 to September 01, 2023) as a basis for the activities during the rest of the workshop.

Institute for Advanced Study in Mathematics (IASM)

The theories of rational/trigonometric/elliptic functions were developed as functions over plane/cylinder/torus, respectively, before the 20th century. Among them, the theory of elliptic functions is most interesting, and it can be understood as the parent theory of the rest. During the 20th century, the same rational/trigonometric/elliptic trichotomy has been also found in integrable systems, algebras and cohomology groups. Like the theory of functions, recent development reveals that the relationship among integrable system, algebra, geometry, and physics becomes most profound at elliptic level. In particular, Lie algebras (rational) are promoted to affine Lie algebras (trigonometric) and toroidal Lie algebras (elliptic). The workshop aims at investigating quantum versions of toroidal Lie algebras, called quantum toroidal algebras.

Algebra,    Geometry and Topology

Institute for Advanced Study in Mathematics (IASM)

This symposium brings together mathematicians, computer scientists, chemists and physicist to address a truly multidisciplinary issue of enabling large-scale atomistically-resolved, ab initio materials modeling. Such modeling capabilities are required for understanding and rational design of materials ranging from alloys to solid electrolytes for fuel cells. There is a substantial gap in theory and computing techniques which on one hand would be able to model phenomena intrinsically requiring models with millions of atoms and on the other hand provide accuracy and insight which is today routinely achievable only for unrealistically small model systems . This is a gap between a model and a reality. To bridge it, this symposium makes brains from different research fields pull in one direction. Progress that this symposium will help accelerate will mean better computational support for the development of functional materials, with more of the development moved from time-, manpower-, and $-costly lab experimentation to in-silico design.

Condensed Matter Physics and Materials,    Computational Physics and Numerical Simulation

Institute for Advanced Study in Mathematics (IASM)

Nonlinear problems are problems which solutions satisfy an equation where the different physical constants involved are depending on the solution itself. This dependence can be nonlocal in the sense that it depends on the solution globally. For instance the motion of a population can be influenced by the total population and not only by the population very locally. One of the goals of the workshop is to deepen the human knowledge in this field applied to different situations.

MIAPbP - Munich Institute for Astro-, Particle and BioPhysics an institute of the Excellence Cluster ORIGINS

Effective field theory (EFT) is a powerful tool for describing the physics of systems at different energy scales. In the context of colliders and gravitational waves, EFTs together with multi-loop precision computation techniques play an essential role in creating precise theoretical predictions that can be compared with empirical data. Recently it has become evident that similar methods and computational tools can be successfully applied to the seemingly different fields of collider and gravitational wave physics. This workshop will bring together experts to discuss the latest developments in theory and phenomenology.

Resummation for the LHC: precision frontier, new structures, and jet processes; EFT tools for fixed order calculations; Factorization theorems at leading and subleading power; EFTs and expansions for gravitational wave astronomy; Scattering amplitudes in the classical regime; Multi-loop integrals for gravitational physics.

High Energy Physics, Particles and Fields,    Courses and Events for Physics Students

Hausdorff Research Institute for Mathematics (HIM)

High Energy Physics, Particles and Fields,    Courses and Events for Physics Students