Conferences  >  Mathematics  >  Analysis

Kyoto University, Japan | The Research Institute for Mathematical Sciences (RIMS)

Calculus, Differential Equations and Integration,    Applied Mathematics (in general)

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

Texas Tech University, Department of Mathematics and Statistics

The field of Differential Geometry, Integrable Systems, and Applications has a long history and is currently as dynamic and vibrant as ever. Thus, the conference provides an exciting opportunity for the interested audience to learn cutting-edge research in a friendly atmosphere. The main objectives of this minisymposium can be summarized as follows: 1. Improve our understanding of recent significant developments in the field of Differential Geometry, Integrable Systems, and Applications. 2. Bring together mathematicians from different backgrounds and in various career stages to foster mutual understanding and lay out foundations for future research. 3. Advance engagement of diverse graduate students and early-career researchers interested in this expanding field.

Geometry and Topology,    Calculus, Differential Equations and Integration

Banach Center

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

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

This proposal focuses on new problems and new methods at the interface of harmonic analysis (taken in a very broad sense) and ergodic theory, with applications focused in number theory. A special emphasis is on equidistribution problems on arithmetic symmetric spaces, effective methods in homogeneous dynamics, periods of automorphic forms, families of L-functions over number fields and functions fields, and applications of Fourier uniqueness.

Number Theory, Arithmetic,    Calculus, Differential Equations and Integration

The school will feature three plenary courses providing general background and outlook on recent advances for a selection of the main subjects of the trimester programme. It is intended for graduate students and early-stage researchers, as well as for non-specialists aiming at entering these new research fields. Participation is free of charge, but registration is required.

ICERM

In spite of their omnipresence and importance, a number of questions about knots remain elusive. Addressing them solicits techniques from a range of mathematical disciplines at the interface of algebra, analysis, geometry, modeling, and low-dimensional topology. Some of the most exciting recent avenues of research include optimizing geometry, quantum knot invariants, and applications in material sciences, physics, and molecular biology. This workshop emphasizes bridging the gap between theoretical, computational, and experimental approaches in knot theory and its applications, including artificial intelligence.

Program Staff;     Phone: [1-401-863-5030];     Email: programstaff@icerm.brown.edu

Geometry and Topology,    Algebra

Academy of Romanian Scientists, Babeș-Bolyai University in Cluj-Napoca, Tiberiu Popoviciu Institute of Numerical Analysis in Cluj-Napoca, Romanian Academy, University of Craiova.

The aim of this conference is to bring together Romanian researchers (from Romania and from abroad) working on various subjects in mathematical analysis and its applications. Foreign participants are also welcome (in this case English will be the language of the corresponding sessions).

Institute of Mathematics at the University of Granada (IMAG)

The program's primary objective is to foster new collaborations, both on existing links within the analysis of PDEs and calculus of variations communities, and towards a closer interplay with machine learning and artificial intelligence. We will foster the communication of the latest vanguard results of interest for the above fields, to find a common ground of collaboration and promote cross-pollination of the technical advancements. To this aim, the program will feature both world leading experts in nonlinear diffusion models, nonlocal many-particle systems modelling, kinetic PDEs, and machine learning modelling, together with \normalcolor some of the most promising young researchers in those fields.

Hausdorff Center for Mathematics – hcm (Universität Bonn)

Calculus, Differential Equations and Integration,    Applied Mathematics (in general)

Leibniz Universität Hannover

Calculus, Differential Equations and Integration,    Numerical Analysis and Computational Mathematics

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

Probability and Statistics, Game Theory,    Thermodynamics, Fluid Dynamics and Statistical Physics

American Institute of Mathematics (AIM)

This workshop, sponsored by AIM and the NSF, will be devoted to solving open problems regarding the stability of nonlinear waves using computer assisted methods of proof. Some results using computer assisted methods of proof include Hilbert's 18th problem and Smale's 14th problem. Researchers have developed efficient methods for obtaining rigorous error bounds for numerical approximations of heteroclinic and homoclinic connections between fixed points in ODE systems. These rigorous computation methods establish the existence and uniqueness of the solution in addition to providing a tight, completely rigorous error bound. Thus, these rigorous computations can be used to prove Theorems. Similarly, researchers have developed efficient and robust numerical methods for computing quantities that relay information about the spectral stability of one-dimensional traveling wave solutions to PDEs, which in turn yields information regarding the nonlinear stability. This workshop will help researchers identify collaborative opportunities to use rigorous computation to prove theorems regarding open problems in nonlinear wave theory.

Computer assisted proofs for stability analysis of nonlinear waves. Stability of multi-dimensional non-planar traveling waves. Rigorous computation of center manifolds

Applied Mathematics (in general),    Automated Theorem Proving

The international conference Harmonic Analysis, Partial Differential Equations, and Geometric Measure Theory in Bilbao 2023 will take place in the city center of Bilbao (Spain) from June 12 to June 16, 2023. It aims to gather both well-established experts and more junior mathematicians in the fields.

There will be a list of invited 50 and 25-minute talks, and we also have parallel sessions of 15-minues talks where students and early postdocs can present their work.

Harmonic Analysis, Geometric Measure Theory, PDEs, Fourier Analysis, Restriction Theory, Unique Continuation

CIRM – Centre International de Rencontres Mathématiques

Geometry and Topology,    Calculus, Differential Equations and Integration

NTNU Norwegian University of Science and Technology

The Abel Symposium 2023 will host world-leading speakers in the field of partial differential equations, who over a period of four days will present their work in the traditional setting of Bårdshaug mansion.

Banach Center

Applied Mathematics (in general),    Calculus, Differential Equations and Integration

Organized by Chiara Saffirio (University of Basel), Marcello Porta (SISSA, Trieste)

In the last few years there has been enormous progress in the rigorous understanding of the emergence of macroscopic effective theories for many-particle systems. This event aims at gathering researchers working on many-body classical and quantum systems, as well as on the analysis of nonlinear partial differential equations describing effective models. The workshop will give an overview of the latest developments in the field, and will stimulate interactions between researchers working in statistical mechanics and in the analysis on nonlinear partial differential equations.

Calculus, Differential Equations and Integration,    Thermodynamics, Fluid Dynamics and Statistical Physics

The Fields Institute

Differential equations, in particular evolutionary differential equations, are used to model, often with uncanny effectiveness, a vast number of natural and social phenomena. The study of dynamical behaviors of the underlying models, e.g. their stabilities, robustness, bifurcations, and complexities, has become truly essential to understand the phenomena being modeled. It is precisely because of the modeling effectiveness of evolutionary differential equations that their dynamical study is among the fastest growing and most active multidisciplinary research fields today. Not only is the existing theory of dynamics of evolutionary equations closely intertwined with many areas of mathematics, but also the concepts, methods, and paradigms, introduced in the study have become an indispensible component of a multitude of works of more applied nature, in disciplines including chemistry, physics, material science, mechanics, electrical engineering, as well as in the emerging applications of social sciences, not to mention the explosion during the last several decades of applications related to the biological and life sciences. As we push the boundaries of applicability of the existing theory, we routinely discover that new mathematical and computational tools are needed, often symbiotically. To witness, it is widely accepted that an important factor contributing to the explosive growth in studying dynamics of evolutionary differential equations has been the availability of sophisticated and powerful computational tools. Yet, huge systems, systems with multiple time scales, multi-physics models, stochastic differential equations, non-smooth evolutionary problems, still transcend our collective understanding, and exhibit inherent complexities which are requiring the development of sophisticated new modeling and numerical techniques, and whose validity will need to be validated by rigorous mathematics.

Calculus, Differential Equations and Integration,    Modeling and Simulation

Dept. of Mathematics, Stockholm University, SWEDEN

Marcus Wallenberg Symposium in memory of SERGEY NABOKO

Applied Mathematics (in general),    Mathematical Physics

The main focus of our conference is on (real) analysis and its numerous applications. Our goal is to provide an update on recent results, a discussion forum for future research goals and a starting point for new collaborations in the stimulating and recreational atmosphere provided by the Adriatic coast.

Calculus, Differential Equations and Integration,    Applied Mathematics (in general)

Casa Matemática Oaxaca (CMO)

Convexity is a branch of classical mathematics and it is located at the confluence of geometry, analysis, topology and combinatorics. Although its origins can be traced back to Archimedes and its systematic study started at the end of the nineteenth century, it was not until the mid-twentieth century that convexity became a well established branch of mathematics. Nowadays, it is an important area that is attracting young researchers and students. Why? Because of its intrinsic beauty, it’s fascinating and intriguing open questions that have an instant intuitive appeal, but also, because of its many relations with other areas of mathematics and its multiple applications, such as in economics, engineering and data science. The purpose of this workshop is to bring together key people working in this area, in order to explore recent progress and to help focus on future research directions.

Centre de recherches mathématiques (CRM)

The main focus of the workshop will be to discuss new trends and techniques in the variational analysis of a wide range of mathematical problems, as well as to chart the current challenges in these models and to have in-depth discussions on possible routes towards overcoming these.

Renyi Institute

Participation is free of charge, but registration is required.

De Giorgi Center of the Scuola Normale Superiore, Pisa, Italy

Geometric analysis and geometric group theory are two fields which have 
seen rapid progress in recent years, with the development of powerful 
tools that have solved major open questions and opened up exciting new 
avenues of inquiry. Both these fields are very active but there have been relatively few 
opportunities to explore the interaction between them. The goal of this 
conference is to bring together world-leading experts from these two 
different research communities in order to enable exchange of ideas and 
explore potential new applications.

Geometric group theory, Geometric analysis, Geometric measure theory, analysis on metric spaces, quasiisometry, geometric flow, Ricci flow, quasisymmetry.

Geometry and Topology,    Group Theory

The school aims at introducing PhD students and young researchers to the topic of Unique Continuation, with an emphasis on its recent developments and applications to PDEs, Quantum Mechanics, Harmonic Analysis and Inverse Problems.

The school will consist of three mini lectures and selected talks given by experts in the field.

Microlocal analysis and probabilistic methods have encountered a large success in the past decade, both in hyperbolic dynamics and in geometry. These developments led to a number of spectacular results and, on one hand, this summer school aims to celebrate the success of such methods by bringing together the leading specialists as well as the young researchers starting their career in these fields. On the other hand, its goal is to serve as a fertile environment and to provide young participants with the state-of-the-art analytic and probabilistic techniques used in geometry and dynamics.

Courses and Events for Math Students and Early Career Researchers,    Calculus, Differential Equations and Integration

Centre de recherches mathématiques (CRM)

A two-week summer school in the summer 2023 that addresses the description/characterization/analysis and modeling of complex and/or scale-free temporal/spatial dynamics in functions, processes, images and fields..., under the light of several scientific fields, ranging from theoretical and methodological developments to real-world applications. The program will start from harmonic and fractal analysis as developed by mathematicians and will progressively introduce a variety of real-world applications (very different in nature, yet with a focus on neurosciences and neurophysiology towards the end of the workshop) via statistical signal and image processing and computer sciences.

Isaac Newton Institute for Mathematical Sciences (INI)

The "Complex analysis: techniques, applications and computations" (CAT) programme of 2019 brought together participants from diverse geographical and scientific communities to develop and apply complex analysis to a host of problems from areas including pure and applied mathematics, physics, engineering, and medicine. The Follow-On workshop is an opportunity to consolidate the achievements of the CAT programme and enhance its impact. Its first main goal will be to assess the progress that has taken place in the key thematic areas of the programme. The second main goal will be to formulate new open problems for the community to address in subsequent years. Finally, the workshop will also provide an opportunity to establish new collaborations. The workshop will mirror the structure of the original thematic programme and will cover the following three main overlapping areas: (1) Techniques of complex analysis, including, but not limited to, connections with classical, harmonic and asymptotic analysis, new transform methods, advances in the Wiener–Hopf and Riemann–Hilbert problems; (2) Applications of complex analysis, highlighting connections with diverse areas of modern physics and applied sciences as well as engineering; and n(3) computational complex analysis, including a range of topics bridging mathematical foundations of various numerical techniques and their software implementations.

The International Centre for Mathematical Sciences (ICMS)

This event is a continuation of the first ICMS workshop held at ICMS on the same topic, in September 2019, and will build upon the existing links between operator algebras, quantum theory and optimisation.

Graph Theory and Combinatorics,    Quantum Mechanics and Quantum Information Theory

University of Bath | London Mathematical Society (LMS)

The mathematical study of wave propagation in continuous media and its applications have been areas of strength in the UK over a number of decades: several UK mathematics departments host related research groups with long-established traditions. This symposium will provide a bird’s-eye view of the three mentioned areas, identify areas of existing contact between them, and develop plans for building links between problems with common underpinning mechanisms.

Courses and Events for Math Students and Early Career Researchers,    Calculus, Differential Equations and Integration

Westfälische Wilhelms-Universität Münster Mathematisches Institut – AG Differentialgeometrie

The purpose of the meeting is to study relationships between local and global invariants in Riemannian Geometry. Our intention is to bring together experts in the field as well as young mathematicians.

Geometry and Topology,    Calculus, Differential Equations and Integration

Hausdorff Center for Mathematics – hcm (Universität Bonn)

Because of the ubiquity of Fourier analysis, oscillatory integrals are present in many techniques in both harmonic analysis and analytic number theory. Current state-of-the-art methods in both fields are pushing beyond classical methods because of increased importance of understanding the uniformity and stability of the estimates. In addition, researchers are uncovering unifying ideas that span the (traditionally somewhat separated areas) of oscillatory integrals in the setting of analysis, and character sums in number theory. Recent work on estimating oscillatory integrals have even applied model theory, from logic. This summer school will give participants an introduction on the classical methods for estimating oscillatory integrals and explain current cutting-edge developments. Throughout, the lectures will view these problems through a lens of understanding the uniformity and stability of the estimates.

University of Helsinki, Finland

IWOTA 2023 will bring together leading international experts for an exchange of results and methods, and for tracing the future development in operator theory, complex analysis, harmonic analysis, linear algebra, random matrix theory, mathematical physics, and their applications. In addition to plenary and semi-plenary talks, the conference provides opportunities for all participants (including young researchers) to present their results in invited and contributed sessions, and to interact with other researchers with similar interests and form new collaboration.

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

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

Banach Center

Centre de recherches mathématiques (CRM)

Robert Langlands est un des mathématiciens contemporains les plus influents. Il est surtout connu pour un ensemble de conjectures très profondes dont l'étude porte maintenant le nom de «programme de Langlands». Tout au long de sa carrière, de nombreux prix ont été décernés au professeur Langlands. En particulier, ses travaux lui ont valu de recevoir le prix Wolf en 1996 et le prix Abel en 2018. Au-delà des mathématiques, le professeur Langlands s'intéresse à l'apprentissage des langues et à la poursuite de la recherche mathématique dans ces langues. En plus de l'anglais, il parle couramment le français, le turc et l'allemand. En 2019 il a créé un Fonds de dotation au CRM dont le but est de soutenir les activités scientifiques de recherche et de formation en français.  Trois mini-cours s’adressant aux étudiants de premier cycle sont présentés à l’édition 2023 de cette école d’été francophone. Ils sont appuyés par le Fonds de dotation Langlands.

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

CIRM – Centre International de Rencontres Mathématiques

We are glad to announce the workshop "Harmonic Analysis and Differential Equations: new questions and challenges" to honor the distinguished career of Luis Vega by bringing together leading mathematicians working in Partial Differential Equations and Harmonic Analysis to learn about the recent developments and future directions in these and related areas.

ICMS - International Centre for Mathematical Sciences

The aim of this workshop is to bring together experts from different communities to cover the investigation of diffusive systems from several viewpoints: analytically, combining methods and techniques from Partial Differential Equations (PDEs) and dynamical systems to derive and analyse mathematical models for the applied phenomena; numerically, reviewing the most recent techniques and software for the computation of bifurcation diagrams and continuation with respect to the systems’ parameters; and, last but not least, from the applied — in particular biological — viewpoint: a constant exchange of knowledge between the theoretical investigations and the experimental data is in fact crucial in order to advance the research in this area. Our speakers will illustrate the most recent advancements in these fields, and foster the creation of new research directions with a concluding description of three open research questions aimed at colleagues working in fields different from their own. This will allow researchers with different backgrounds to learn ultimate techniques, connect with experts from various areas, and collaborate with fellow participants to produce new, cutting-edge research.

Applied Mathematics (in general),    Calculus, Differential Equations and Integration

CIRM – Centre International de Rencontres Mathématiques

CIRM – Centre International de Rencontres Mathématiques

Banach Center

The conference concerns the broadly understood mathematical analysis, in particular, the so-called geometric analysis (including calculus of variation and partial differential equations of geometric origin, Sobolev spaces theory on manifolds and on metric spaces, and knot theory issues related to curvature energies).

Geometry and Topology,    Calculus, Differential Equations and Integration

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

Calculus, Differential Equations and Integration,    Numerical Analysis and Computational Mathematics

CIRM – Centre International de Rencontres Mathématiques

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics) and Institute of Mathematics of the Polish Academy of Sciences

Many physical, chemical, biomedical, and techni- cal processes can be described by means of partial differential equations or dynamical systems. In recent years, multi-physics and multi-scale prob- lems have become a particular focus of applied mathematical research. A numerical treatment of such problems is usually very time consuming and thus requires the development of efficient discret- ization schemes that are often realized on large parallel computing environments. In addition, these problems often need to be solved repeatedly for many varying parameters, introducing a curse of dimensionality when the solution is also viewed as a function of these parameters. Examples for such situations include design, control, optimiza- tion, inverse problems, uncertainty analysis and statistical sampling.

The seminar takes place at the Mathematical Re- search and Conference Center of the Institute of Mathematics of the Polish Academy of Sciences in Będlewo.

Applied Mathematics (in general),    Calculus, Differential Equations and Integration

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics) and Institute of Mathematics of the Polish Academy of Sciences

Optimal transport theory is a very successful field of mathematics connecting calculus of variations, probability theory, differential geometry, partial differential equations, functional analysis, statis- tics and computer sciences. Going back to Monge around 1780, this theory has deep connections with the earlier work of Euler on Hydrodynamics around 1750. This connection has recently known a strong revival on many different sides, leading to various non trivial generalizations of the con- cept of optimal transport.

The seminar takes place at the Mathematical Re- search and Conference Center of the Institute of Mathematics of the Polish Academy of Sciences in Będlewo.

Applied Mathematics (in general),    Calculus, Differential Equations and Integration

Banach Center

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

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

Algebra,    Geometry and Topology

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

Calculus, Differential Equations and Integration,    Information & Knowledge Management, Big Data Computing

Centre de recherches mathématiques (CRM)

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