Tagungen und Workshops zum Thema Mathematische Physik

Kavli Institute for Theoretical Physics (KITP)

Modularity is at the heart of many deep results in mathematics--from the proof of Fermat’s last theorem to moonshine to the Langlands correspondence. At the same time, modular group representations and automorphic forms underlie many interesting physical phenomena in quantum field theory and string theory, including understanding of dualities, boundary conditions, and supersymmetric black holes, among other things. This conference will bring together physicists and mathematicians to discuss emerging connections between a web of fundamental objects in physics and mathematics, united in the crucial role played by modularity.

new moonshines and mock modular forms; vertex operator algebras arising in supersymmetric gauge theories; topological invariants of 3- and 4-manifolds; topological QFTs and topological phases in condensed matter physics; topological string theory, Donaldson-Thomas theory, and enumerative geometry; scattering amplitudes in string theory; 2d conformal field theories, the modular bootstrap, and connections to 3d quantum gravity

Teilchenphysik und Felder,    Quantenmechanik und Quanteninformation

ICERM

Please join us for an exciting Q&A with Noble prize-winning physicist Kip Thorne. Professor Thorne will briefly review the crucial role and history of computation in the detection of gravitational waves, and take your questions on all issues relating to computational physics and science in general.

The event will be introduced and moderated by renowned physicist Professor Richard Price, and Professor Saul Teukolsky (the 2021 Einstein Prize awardee) will give an introductory talk on the computational challenges and solutions for simulating black holes and gravitational waves on computers, and the interesting science that can be done thanks to the LIGO and VIRGO gravitational-wave detectors.

Tel.: [4018635030];     Email: teresa_fitzsenry@icerm.brown.edu

Centre International de Rencontres Mathématiques (CIRM)

Algebra,    Gruppentheorie

Kavli Institute for Theoretical Physics (KITP)

A fascinating and surprising phenomenon that can occur in fluid and plasma turbulence is the spontaneous formation of arrays of layers in which material properties such as density adopt a so-called “staircase” structure. The most striking examples are potential vorticity staircases in planetary atmospheres, and thermohaline staircases in the oceans. Theoretical considerations suggest that layering also plays an important role in stellar interiors (particularly through various double-diffusive processes) and in fusion confinement devices (the so-called E x B staircase). Understanding the phenomenon of layering is, therefore, not only of intrinsic scientific interest (e.g., is there a common thread to layering in these very different contexts?), but is also crucial for an accurate description of turbulent transport in, for example, models of large-scale ocean flow, the evolution of stellar interiors and confinement in tokamaks.

Thermodynamik, Hydrodynamik und Statistische Mechanik,    Plasmaphysik, Kernfusion

Instituto Superior Técnico, Lisbon (Portugal)

CIRM – Centre International de Rencontres Mathématiques

Institute for Mathematical Sciences/National University of Singapore

This is a two-week program gathering mathematicians and physicists interested in the statistical physics of strongly correlated and long range random particle systems. These particle systems include Gibbs point processes such as Coulomb gases, determinantal point process, eigenvalues of random matrices, etc. They are linked to mathematical long-standing challenges such as the crystallization and best packing conjectures among others. One aspect that we want to put forward in this meeting is that the pioneering tools from classical statistical mechanics à la Ruelle, Lanford, Lebowitz may not have been used enough for the study of these particle systems yet.

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

The subject of magnetic monopoles is by now classic in both physics and mathematics. Since intense advancements in mid 1970’s, numerous deep connections to theoretical physics, algebraic geometry, and geometric analysis have been discovered. Nonetheless, many important problems remain unsolved. Recently, monopoles acquired new significance in areas such as string theory, the Seiberg--Witten theory, quantum gauge-theory spaces of vacua, knot invariants, and the Geometric Langlands correspondence. This workshop brings together experts from around the world advancing very different perspectives, identify important open problems, and connecting diverse methods used by different groups.

Kurse und Veranstaltungen für Studenten der Mathematik,    Teilchenphysik und Felder

Teilchenphysik und Felder,    Kurse und Veranstaltungen für Physikstudenten

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

This five-day workshop will facilitate an intensive exchange of ideas between string theorists, condensed matter physicists, atomic physicists and researchers with other areas of expertise actively working on theory and applications of quantum chaos. The main goals of the workshop is both to introduce researches from different communities to key models and results and to outline unresolved problems actively investigated by these different communities. Such a meeting should allow us to consolidate new ways of quantifying many-body quantum chaos and highlight their implications for important questions of different disciplines.

Teilchenphysik und Felder,    Festkörperphysik

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

Kurse und Veranstaltungen für Studenten der Mathematik,    Angewandte Mathematik (allgem.)

CIRM – Centre International de Rencontres Mathématiques

Analysis,    Wissenschaftliches Rechnen

CIRM – Centre International de Rencontres Mathématiques

Wissenschaftliches Rechnen,    Angewandte Mathematik (allgem.)

CIRM – Centre International de Rencontres Mathématiques

The conference will bring together leading experts and research scholars to exchange and share their experience and research results on all aspects of mathematical physics and to promote transference of knowledge at the crossroads of mathematics and physics. There will be plenary sessions (30 to 40min), short talks and posters for student presentations. The scope of the conference will be quite broad, including in particular the following topics: polyanalytic function theory, harmonic analysis, representation theory and quantization, Clifford analysis and applications, coherent states, time-frequency analysis and wavelets, orthogonal polynomials, special functions and q-analogues, Hopf algebras and quantum groups, geometric mechanics and symmetry, exact solvable systems, spectral theory and quantum systems, topological methods. With the goal of encouraging communication and collaborative research between the participants, a feature of ICMMP2021 will be the inclusion of specific time-slots for scientific discussion.

Tel.: [(212) (0) 663564850];     Email: mouayn@gmail.com

Harmonic analysis, representation theory and quantization, Clifford algebras, Clifford analysis and applications, Coherent states & wavelets, q-deformation, Hopf algebras and quantum groups, Geometric mechanics and symmetry, Orthogonal Polynomials, special functions and exact solvable systems, Spectral theory and quantum systems, Topological Methods

Geometrie und Topologie,    Gruppentheorie

The workshop Quantum resources: from mathematical foundations to operational characterisation is concerned with the theoretical investigation of quantum resources, and in particular on bridging the gap between the abstract mathematical description of resource theories and the protocols for their practical exploitation.

Casa Matemática Oaxaca (CMO) in Mexico, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada

An essential paradigm in science is solving a problem through the study of its symmetries. Whether dealing with a chemical, physical, or mathematical system, its symmetries are intimately related to the conservation laws characterizing the system itself. Therefore, their study leads us to its full understanding. Quantum groups are deformations of the most elementary symmetries in Nature, describing, for example, infinitesimal layers of ice. They first appeared in the eighties as symmetries of one and two-dimensional statistical mechanical models and are nowadays ubiquitous objects in mathematics. Quantum groups represent only an instance of the more general Theory of Quantization, in which the procedure of "deforming" classical structures gives rise to their "quantum" analog. This theory proved soon to have spectacular connections with many and only apparently unrelated areas of mathematics and physics, especially in representation theory (as described above), algebraic geometry (in particular the theory of moduli spaces), and theoretical physics (e.g. gauge theory). The present workshop aims to provide a survey of the state of the art of the Quantization Theory, with a special emphasis on using advanced techniques from (derived) algebraic geometry to the realm of Quantization.

Organised by IOP West Midlands Branch, Hereford & Worcester Centre

Maxwell's discovery of the laws of electromagnetism represents one of the key events in the history of physics, resulting in a paradigm shift from Newtonian physics to a Universe dominated by fields. Maxwell's discovery provides the link between the physics of Newton and Einstein. The revolutionary nature of Maxwell's insights will be highlighted. This event may also be delivered as an online webinar. If necessary due to Coronavirus or venue restrictions it will be an online webinar only.

Systemtheorie, Regelung und Automatisierung,    Geschichte und Philosophie von Wissenschaft und Technik

Casa Matemática Oaxaca (CMO) in Mexico, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada

The presence of singularity in mathematics and physics is an omnipresent phenomena which is the subject of an enormous amount of current research. One reason for this is that techniques which are useful and well understood in the context of smooth spaces do not carry over automatically to singular spaces in general. Depending on the type of singularity involved, one might find that a theorem which is true in the smooth setting requires modification even to make sense in a particular singular setting, and a singular object with extra structure may lead to a generalization of a theorem in which that extra structure plays a role.

Kurse und Veranstaltungen für Studenten der Mathematik,    Analysis

The conference “Analytic Number Theory, Quantum Chaos and their Interfaces” aims at gathering distinguished researchers working in either of the disciplines to discuss recent research advances in these fields, and serve as a playground for the exchange of ideas between these, rather diverse, research communities. Another purpose of our conference is to provide a solid educational platform for more junior researchers (PhD students, postdoctoral researchers and early career permanent faculty) who aspire to conduct research in the relevant fields and expose them to some of the outstanding results and open problems as well as to meet other researchers with similar academic interests, with high potential to start new research collaborations. Being a home to Professor Zeev Rudnick, who has contributed greatly to unifying the main subjects of the conference and established some relevant fundamental results in these fields, Tel Aviv University is a natural place for such a meeting to take place.

Zahlentheorie, Arithmetik,    Komplexe Systeme und Chaos

Sponsored by the SIAM Activity Group on Mathematical Aspects of Materials Science

Since 1994, every 2 to 4 years the SIAM Materials Activity Group organizes the SIAM Conference on Mathematical Aspects of Materials Science. This conference focuses on interdisciplinary approaches that bridge mathematical and computational methods to the science and engineering of materials. The conference provides a forum to highlight significant advances as well as critical or promising challenges in mathematics and materials science and engineering. In keeping with tradition, the conference seeks diversity in people, disciplines, methods, theory, and applications.

Festkörperphysik,    Angewandte Mathematik (allgem.)

CIRM – Centre International de Rencontres Mathématiques

Simulation,    Wissenschaftliches Rechnen

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

The topic of our programme is the string landscape and the swampland and should be understood in a broad sense.

Johannes Gutenberg University Mainz

The aim of the topical workshop is to bring together particle physicists, string theorists and mathematicians working on elliptic functions, with the grand goal of advancing our understanding of elliptic functions required to make precise predictions for future particle physics experiments.

CIRM – Centre International de Rencontres Mathématiques

Simulation,    Mechanik, Rheologie und Tribologie

The aim of the meeting is to present the state of the art in some challenging open problems in Quantum Mechanics from the point of view of Mathematical Physics. It is addressed to young people interested in working on the subject but also to experienced researchers willing to exchange the newest ideas and methods in the field. Among the topics covered: spectral and scattering theory for Schrödinger operators, effective behavior in many particles quantum systems, Bose-Einstein condensation, nonlinear Schrödinger equation, semiclassical analysis, numerical analysis of quantum systems, quantum graphs. Three courses of 6 hours will be given in a series of lectures scheduled in the morning of each day. In the afternoon short contributed talks will be given by young participants, followed by plenary talks given by invited speakers.

Quantenmechanik und Quanteninformation,    Kurse und Veranstaltungen für Physikstudenten

Casa Matemática Oaxaca (CMO) in Mexico, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada

This workshop will study this question for systems of geometric origin. One example of this is a particle bouncing inside a region -- think of a ball bouncing around a billiard table, or a light beam bouncing around a room whose walls are mirrors. If the walls are flat then the behavior is fairly predictable, but if they are curved then one often observes random-looking behavior in the long run. Or imagine walking in a straight line along a surface; if the surface is flat then changing the starting point a little will lead to a predictable change in the trajectory. However, if the surface is curved like a saddle then different trajectories will spread out and your location after walking for a long time will eventually seem to be random. The task of giving precise descriptions of systems such as these requires a more complete development of the theory of thermodynamic formalism for systems of geometric origin, which is precisely the goal of this workshop.

Kurse und Veranstaltungen für Studenten der Mathematik,    Thermodynamik, Hydrodynamik und Statistische Mechanik

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

The workshop brings together top experts in the field, and creates an environment where all the latest ideas, intuition and techniques can be shared and refined. Another important goal of the proposed workshop is to introduce junior researchers to a highly active area of research in PDEs of fluid dynamics. We will give preferences to young researchers when inviting speakers to the workshop.

Kurse und Veranstaltungen für Studenten der Mathematik,    Thermodynamik, Hydrodynamik und Statistische Mechanik

Mathematical Sciences Research Institute, Berkeley

Mathematical Sciences Research Institute, Berkeley

This workshop will focus on cutting-edge research in random matrices and integrable probability. We will explore connections with other branches of mathematics and applications to sciences and engineering. The workshop will feature presentations by both leading researchers and promising newcomers.

Algebra,    Kurse und Veranstaltungen für Studenten der Mathematik

Mathematical Sciences Research Institute, Berkeley

The introductory workshop aims at providing participants with an overview of some of the recent developments in the topics of the semester, with a particular emphasis on universality and applications. This includes universality for Wigner matrices and band matrices and quantum unique ergodicity, universality for beta ensembles and log/coulomb gases, KPZ universality class, universality in interacting particle systems, the connection between random matrices and number theory.

Algebra,    Kurse und Veranstaltungen für Studenten der Mathematik

This school is intended for young researchers (master students, PhD students and young postdocs) involved in the global effort of investigating the large excess of the measured value of the muon anomalous magnetic moment over the Standard Model prediction. The lecture schedule will be complemented by dedicated sessions for discussions, exercises and posters along with social activities to encourage networking and a vivid exchange of ideas.

Kurse und Veranstaltungen für Physikstudenten,    Teilchenphysik und Felder

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

Kurse und Veranstaltungen für Studenten der Mathematik,    Astronomie, Astrophysik und Kosmologie

When many quantum particles interact, they can organize themselves into highly entangled states with unexpected properties that transcend those of the individual constituents. The description of those states and their properties is typically rather challenging - not only from a mathematical point of view. In the last 15 years, concepts and tools from quantum information theory (QIT) have proven highly useful in investigating such systems. This new perspective aims to characterize and classify the complexity in large quantum systems.

Mainz Institute for Theoretical Physics, Johannes Gutenberg University

Recently, there has been great interest in determining criteria which differentiate between effective low-energy field theories which can be consistently completed in the ultraviolet into quantum gravity, said to be in the ‘Landscape’, from theories which appear consistent but nonetheless defy such a coupling to quantum gravity, the so-called ‘Swampland’. A number of such criteria, or Swampland Conjectures, have been proposed in the literature and attracted considerable interest in the high energy physics community. If confirmed, they have far-reaching consequences for physics and cosmology, such as for the structure of large field inflation in early time cosmology or for the mechanism responsible for the observed late-time acceleration of the universe, to name but the most striking ones. On the other hand, the Swampland Conjectures translate, in the context of string theory, into conjectures regarding the structure of possible compactifications, or string geometries. String theory is therefore in a unique position to quantitatively test - and possibly refine - such general Swampland Conjectures. This Scientific Program proposes to study these intriguing connections between general properties of quantum gravity and the geometry of string compactifications. It aims to bring together world experts working at the forefront of research in string theory, field theoretic aspects of quantum gravity, and geometry at this unique time in which our understanding of the Swampland is quickly evolving.

Institute for Advanced Study in Mathematics (IASM) in Hangzhou, China, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada

Subfactors and vertex operator algebras are mathematical structures that at first glance appear very different, but both are used in the mathematical study of quantum field theory. In particular, vertex operator algebras are algebraic structures arising in two-dimensional conformal field theory (CFT), a quantum field theory with applications ranging from string theory to condensed matter physics to quantum computing. On the other hand, subfactors are closely related to conformal nets, which are a functional-analytic approach to CFT. Because they are both mathematical descriptions the same quantum field theory, the theories of vertex operator algebras and conformal nets are widely believed to be equivalent, but only in the last few years has there been substantial progress in establishing an equivalence. As many important results in conformal field theory have been established for either vertex operator algebras or conformal nets, but not necessarily both, developing connections and equivalences will be useful for answering open questions in both mathematical formulations of CFT.

Kurse und Veranstaltungen für Studenten der Mathematik,    Algebra

Mainz Institute for Theoretical Physics, Johannes Gutenberg University

Boundaries and defects have been at the heart of crucial developments in theoretical physics in the last 20 years: holography (field theories could live at the boundary of a higher- dimensional gravitational theory), entanglement (the entangling surface can be treated as a defect), black holes (the horizon is a boundary), topological insulators and semi-metals (the topologically-protected massless modes live at the boundary), and non-local operators such as Wilson and ‘t Hooft lines (defects defined by appropriate boundary conditions). Additionally, many other areas have made major advances in recent years whose implications for quantum field theory with boundaries and defects have yet to be explored fully: the conformal bootstrap, dualities among (2+1)d quantum field theories, supersymmetric localization, integrability, and so on. However, progress in these areas has largely been carried out by separated communities working in isolation from the others. This scientific program thus aims to bring together a diverse group of leading theorists interested in boundaries and defects in quantum field theory, from the formal/mathematical to the applied, to forge collaborations between different areas, identify common subjects and complementary approaches, and set the agenda for future developments and new applications.

The three broad focus areas will be: Conformal field theories with boundaries and defects Supersymmetry and Duality with boundaries and defects Curved space, gravity and entanglement

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

Kurse und Veranstaltungen für Studenten der Mathematik,    Quantenmechanik und Quanteninformation

Understanding quantum gravity is one of the main open questions in modern theoretical physics. Holographic duality constitutes a major advance in this direction linking together quantum field theory and quantum gravity and in particular string theory. This meeting aims to bring together a diverse set of international experts working on the intersecting fields of string theory, quantum field theory and holography.

Casa Matemática Oaxaca (CMO) in Mexico, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada

In this workshop, experts in the physics and mathematics of string theory shall gather together to discuss the current progress on the study of the physical consequences (for particle physics and cosmology) of string models, and to explore new exciting formal (and informal) proposals that may constitute important tools to gain a better understanding of string theory and its possible predictions. Besides traditional overview talks and seminars on the ongoing research in this field, the workshop will provide an adequate environment for fruitful discussion and collaboration.

Kurse und Veranstaltungen für Studenten der Mathematik,    Erneuerbare Energien und Wäremekraftwerke

CIRM – Centre International de Rencontres Mathématiques

Infinitesimalrechnung, Differentialgleichungen, Integralrechnung,    Quantenmechanik und Quanteninformation