Conférences  >  Physique  >  Physique mathématique

The mathematical modeling, simulation and analysis of wave phenomena entail a plethora of fascinating and challenging problems both in analysis and numerical mathematics. During the past decades, these challenges have inspired a number of important approaches, developments and results about wave-type equations in both fields of mathematics. In this conference we want to bring together international experts with different background to stimulate the transfer of ideas, results, and techniques within this exciting area.

Analyse,    Mathématiques appliquées (en général)

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

University of Hamburg

The goal of this conference is to present a panorama of research directions in mathematics and mathematical physics related to the scientific program of our CRC 1624 „Higher structures, moduli spaces and integrability". The CRC 1624 has started in the spring of 2024. It aims to stimulate interactions between highly active topics in mathematics such as higher structures and their applications in TQFT and CFT, the geometry of moduli spaces with their applications in SUSY QFT and string theory like the swampland program, and integrability with its multitude of applications in quantum field theory and string theory. As most of the early career researchers participating in the CRC have arrived by now, we regard the first anniversary of the start of the CRC as a good time for having an opening conference. With this conference we aim to stimulate new interactions between mathematics and theoretical physics by bringing together leading representatives of these research directions.

Connecting algebra and geometry to quantum field theory and string theory

Algèbre,    Astronomie, astrophysique et cosmologie

CIRM – Centre International de Rencontres Mathématiques

The idea of making space noncommutative is probably as old as quantum mechanics, but it has developed considerably since the mid 80’s in various directions, from pure mathematics to theoretical physics, yielding some phenomenological predictions in high energy physics. The aim of this conference is the interplay between noncommutative geometry and physics.

American Institute of Mathematics, Pasadena, California (AIM)

This workshop, sponsored by AIM and the NSF, will be devoted to exploring the theory of some nonlinear partial differential equations that appear as fundamental models in statistical mechanics and mathematical physics. Early investigations by Bernoulli, Maxwell and Boltzmann (∼1860) established the foundation of kinetic theory, and resulted in formulating the general equation of continuity, now known as the Boltzmann equation. The mathematical analysis of Boltzmann-type equations has led to decades of significant works, from Carleman in the 1930’s and up to the end of the past century with works by Cercignani, Di Perna, Lions, and many more. Research activity in the field has intesified in recent years, with the last two decades yielding numerous new results in regularity estimates, long time asymptotics, and global well-posedness. A particularly relevant line of research in this field is the study of diffusive integro-differential equations, which in addition to their role in statistical physics, has applications ranging from fluid mechanics to stochastic control and image processing. This workshops will bring together mathematicians working at the forefront of these two lines of research with junior researchers to focus on advancing specific open problems.

Two phase free boundary problems for diffusive integro-differential equations. Hypo-elliptic Hamilton-Jacobi-Bellman equations. Regularity theory for kinetic equations of Boltzmann and Landau type. Blow-down mechanism for Lenard-Balescu and other collision operators in plasma. Free boundary problems in chemotaxis.

Department of Mathematics, Faculty of Science, University of Zagreb

Affine Lie Algebras, Quantum Groups, and Their Representations is a workshop supported by the Croatian Science Foundation under the installation research project Quantum Current Algebras and Their Representation Theory. The workshop topics include all areas related to the representation theory of affine Lie algebras and quantum groups, such as combinatorial identities, quantum vertex algebras, etc.

affine Lie algebras, quantum groups, combinatorial identities, quantum vertex algebras, vertex algebras

CIRM – Centre International de Rencontres Mathématiques

The conference, in advance of a thematic program planned for IHP in 2026, addresses the key role played by completely integrable systems as models for wave phenomena in myriad physical settings such as surface water waves and internal waves, quantum excitations in Bose-Einstein condensates, plasma oscillations, optical fiber telecommunication systems, and solid-state physics. The principal objectives of the CIRM conference are to focus specifically on soliton gases, explicit formulas, and asymptotic behavior in integrable models, and to highlight corresponding novel results and new progress on several previously impenetrable fronts.

Calcul infinitésimal, équations différentielles et intégrales,    Mathématiques appliquées (en général)

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

This workshop intends to deepen existing connections and establish new ones between quantum harmonic analysis, the theory of Toeplitz operators on Bargmann-Fock spaces and Bergman spaces, mathematical physics, quantum information, machine learning, and time-frequency analysis.

Théorie de l'information quantique et informatique quantique,    Mécanique quantique et technologie quantique

Hausdorff Research Institute for Mathematics (HIM)

Physique des hautes énergies, des particules et des champs,    Cours et événements pour étudiants en physique

GLaMP was started in 2016, with the goal to establish a conference series focused on Mathematical Physics in the broad sense and to provide a venue for young researchers in this field to present their work, to meet each other and to learn about various areas of Mathematical Physics outside their specific disciplines.

The Department of Mathematics and Statistics at the University of Massachusetts Amherst will host its fourth annual summer school on Physical Mathematics of Quantum Field Theory during the week of June 9 - 13, 2025. The aim of the workshop is to introduce young researchers on the boundary between mathematics and physics to recent ideas in classical and quantum field theory using notions from complex geometry and algebraic topology. This year there is a focus on 4d gauge theories and their relationship with representation theory, algebraic geometry, and topology. The target audience of the workshop is advanced graduate students and post-docs, from both mathematics and theoretical physics. The schedule will be designed to include a large amount of time for participants to interact. We hope especially to encourage conversations between mathematicians and physicists.

Physique des hautes énergies, des particules et des champs,    Cours et événements pour étudiants en physique

Erdős Center, Rényi Institute Budapest

Minicourses from distinguished researchers in the areas.

Email.: probstatphys25@renyi.hu

Interacting particle systems, Random matrix theory, Probability, Mathematical physics

Statistique, Théorie des jeux,    Cours et évènements pour étudiants en mathématiques

Erdős Center, Rényi Institute Budapest

Numerous talks by researchers ranging from early career colleagues to top experts of interacting particle systems and of random matrix theory. There will also be opportunities for discussions during the meeting.

Email.: probstatphys25@renyi.hu

Interacting particle systems, Random matrix theory, Probability, Mathematical physics

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Simons Laufer Mathematical Sciences Institute (SLMath)

The summer school aims to expose participants to formal methods that can facilitate principled scientific discovery. The school will cover some of the basic automated statistical inference (in the form of machine learning techniques) and reasoning methods that are commonly used in scientific discovery, as well as novel techniques developed to tackle open questions and issues. This summer school will address novel computational methods for scientific discovery and focus on fusing axiomatic knowledge and experimental data to enable principled derivations of models of natural phenomena along with certificates of the consistency of these models with background knowledge specified as axioms.

Cours et évènements pour étudiants en mathématiques,    Cours et événements pour étudiants en physique

Simons Laufer Mathematical Sciences Institute (SLMath)

The Connections workshop will bring together leading experts working at the intersection of kinetic theory and stochastic partial differential equations (SPDEs). Kinetic theory is a body of theory for non-equilibrium statistical mechanics. The phase-space formulation provides the flexibility of characterizing dynamics emerging from a wide range of applications, ranging from rarified gas, to plasma, to photons, to bacteria. Complementing this, SPDEs provide powerful tools for modeling systems influenced by random fluctuations and noise, essential for capturing the inherent uncertainties in complex processes. This workshop will delve into how these cutting-edge mathematical techniques can be integrated to analyze and predict the behavior of systems ranging from fluid dynamics to financial models.

Mathématiques appliquées (en général),    Calcul infinitésimal, équations différentielles et intégrales

Simons Laufer Mathematical Sciences Institute (SLMath)

The goal of the workshop is to introduce non-experts to two active research areas: kinetic theory and stochastic partial differential equations. Kinetic theory studies the properties of interacting particle systems modeling various processes in non-equilibrium statistical mechanics. Stochastic partial differential equations describe dynamics subjected to random noises. The methods from the two areas complement each other in studies of the phenomena arising in physics, economics, life sciences, etc.

Mathématiques appliquées (en général),    Calcul infinitésimal, équations différentielles et intégrales

Technical University of Munich

The conference series "Mathematical Results in Quantum Theory" brings together people interested in the mathematical theory of quantum mechanics. QMATH16 takes place on the Garching Research Campus of the Technical University of Munich.

Théorie de l'information quantique et informatique quantique,    Mécanique quantique et technologie quantique

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Physique de la matière condensée et des matériaux,    Cours et événements pour étudiants en physique

EMBL Heidelberg

The fundamental question of the role of metabolism in development has seen a revival in interest over recent years, creating the need for the first edition of this workshop in 2023. This second edition is set to reunite the community two years on, and to ensure the ongoing interactions that can propel progress in developmental metabolism. In this rapidly advancing field, metabolomic methods play a crucial role in unraveling complex processes. The workshop will again aim to bring together researchers from diverse backgrounds: developmental biology, genetics, epigenetics, ecology, physics and math, to provide the developmental metabolism community with cutting-edge research and methodologies applied across scales, insights into the latest advancements in metabolomic techniques and their application to developmental biology. New for 2025 will be an increased integration of tool development and technologies and an added focus on novel metabolomic approaches.

EMBL Events;     Email.: events@embl.de

Biologie,    Logique mathématique et fondements

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Astronomie, astrophysique et cosmologie,    Cours et événements pour étudiants en physique

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Belief Functions and Applications Society (BFAS)

The BELIEF school is a biennial event organized by the Belief Functions and Applications Society (BFAS) that offers a unique opportunity for students and researchers to learn about fundamental and advanced aspects of the theory of belief functions (also referred to as Dempster-Shafer theory, or evidence theory), a formalism for reasoning with uncertainty. The school will be organized around a set of lectures by prominent researchers. Lectures will gradually tackle basic to more advanced theoretical concepts. They will also highlight the links with other uncertainty theories such as random sets and possibility theory, and present applications of belief functions in various domains including machine learning, information fusion, statistical inference and materials science.

This workshop will explore the latest advances in kinetic theory and stochastic particle dynamics in mean field regimes, covering both classical themes and emerging areas. Topics will include the derivation of kinetic type equations from particle and plasma systems, state-of-the-art numerical methods, studies of multiscale phenomena, and the applications of kinetic equations in physics, chemistry, computer sciences appearing in life sciences, social sciences, and machine learning. This workshop will offer an exciting opportunity to connect researchers from all stages and sub-areas and spark new ideas.

Mathématiques appliquées (en général),    Physique numérique

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

The rigorous mathematical analysis of many-body systems in quantum mechanics has been an important subdiscipline of Mathematical Physics for many decades, and has led to numerous fruitful connections between various aspects of physics and mathematics. The goal of this workshop is to bring together the key players in this and adjacent fields, to discuss the current state-of-the-art as well as possible future directions. We will also use the occasion of the workshop to honor the achievements of Jakob Yngvason, who will celebrate his 80th birthday in 2025.

Thermodynamique, dynamique des fluides et physique statistique,    Mécanique quantique et technologie quantique

Isaac Newton Institute for Mathematical Sciences

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Thermodynamique, dynamique des fluides et physique statistique,    Cours et événements pour étudiants en physique