Conferences  >  Mathematics  >  Calculus, Differential Equations and Integration

Harmonic analysis on homogeneous spaces is a fundamental area of research that simultaneously generalizes classical harmonic analysis on groups and on Riemannian symmetric spaces. It naturally relates to many areas of mathematics, playing a central role in representation theory and the theory of automorphic forms.

Representation Theory and Noncommutative Geometry

Analysis,    Algebra

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.

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.

Mathematical Physics,    Applied Mathematics (in general)

Zonguldak Bulent Ecevit University

The aim of the workshop MMAS'25 is to bring together leading mathematicians, researchers and students to exchange and share their scientific experiences and research results about mathematical modeling, analysis and simulation of real-world problems.

i-Mathematical Analysis for Fractional Differential Equations; ii-Inverse and Ill-posed Problems of Mathematical Physics; iii-Industrial Mathematics: Scientific Computing and Algorithms

Applied Mathematics (in general),    Algorithms and Data Structures

Banach Center

The workshop will focus on the theory of differential equations and their applications to natural, health and social sciences, as well as engineering. We wish to provide a platform to continue the discussions, address questions and problems that arose online, communicate the latest results in the theory of differential equations, and exchange ideas between different research centres. We hope to finalize research projects initiated at the seminars and establish long-lasting collaborations to work on new projects. We envisage significant participation of postgraduate students and emerging researchers who will benefit from plenary and invited lectures of leading scientists in the field and will be able to present their research in the form of contributed talks and poster presentations.

Vanderbilt University

The conference will focus on several aspects of constructive function theory, including orthogonal polynomials, potential theory, discrete and continuous energy problems, special functions, polynomial inequalities, as well as various problems relating to optimization and efficiency. The aim is to stimulate collaboration and the exchange of ideas. The conference will be held in conjunction with the 37th Annual Shanks Lecture, to be given by Professor Doron Lubinsky (Georgia Institute of Technology).

Analysis,    Courses and Events for Math Students and Early Career Researchers

Baylor University

The conference is organized around topics in harmonic analysis, linear and nonlinear partial differential equations, geometric measure theory, and scattering theory.

University of Helsinki

Conference Quasiweekend III - Twenty years on collects together experts, from all fields of mathematics, using quasiconformal methods, especially in complex dynamics, geometric function theory, geometric group theory, analysis on metric spaces. Previous conferences in this series, Quasiweekend and Quasiweekend II – Ten years after, took place in 2005 and 2015, respectively, in Helsinki. With Quasiweekend III we celebrate mathematical legacy of Juha Heinonen -- initiator of this conference series -- in the broad field of quasiconformal analysis.

Email: quasiweekend@gmail.com

Qusiconformal maps, complex dynamics, geometric function theory, geometric group theory, analysis on metric spaces

Analysis,    Geometry and Topology

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

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

Analysis,    Numerical Analysis and Computational Mathematics

Institute for Computational and Experimental Research in Mathematics, Brown University, Providence, RI (ICERM)

A universal source of difficulty in the numerical solution of differential equations is stiffness, which may stem from multi-scale dynamics and means that straightforward explicit discretizations are very inefficient. Consequently, choosing how to deal with stiffness (usually through the selection of the time discretization method) is often the most impactful decision made while solving these problems; it can be the difference between complete intractability and rapid solution.

The subject of nonlinear analysis is of interest in its own right, and it also serves to lay the foundations for different fields of pure and applied mathematics. Researchers across the world are actively involved in analysing and developing different theories of mathematics which are applicable to real-world problems. Through this conference, the recent progress and advances in the different fields of mathematical analysis will be shared. We try to bring fruitful research directions and collaborations in this field.

Analysis,    Numerical Analysis and Computational Mathematics

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.

Applied Mathematics (in general),    Mathematical Physics

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.

Applied Mathematics (in general),    Mathematical Physics

Bulgarian Academy of Sciences

Mathematical Physics; Mathematical Finance; Mathematical Biology; Fractional Calculus; Computer Science; Artificial Intelligence; Neural Networks; Numerical Methods.

Applied Mathematics (in general),    Analysis

CIRM – Centre International de Rencontres Mathématiques

The abstract foundation of the book concerning functional analysis, special issues on Sobolev type function scales, and elliptic and parabolic regularity in case of non-smooth data, is already solid. However, the culminating last part of the book is still under discussion and editing. There, it is intended, using the theory established before, to give a condensed and unified treatment of wellposedness for several real-world problems, namely the thermistor problem, the Keller-Segel chemotaxis model, and the macroscopic semiconductor equations (Van Roosbroeck system) in case of Avalanche generation, all for the case of non-smooth spatial domains. These problems were open for decades and solved only recently by the authors and collaborators in journal articles.

Analysis,    Applied Mathematics (in general)

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

Society for Industrial and Applied Mathematics (SIAM)

Simons Laufer Mathematical Sciences Institute (SLMath)

The workshop aims to bring together researchers working on different facets of stochastic PDEs. The field of stochastic PDEs has seen many new techniques recently appear to tackle different problems, including renormalization, large scale and long-time behaviours, stochastic fluid dynamics, and homogenization. The goal of the workshop is to facilitate discussions and allow different communities to engage with one another one.

stochastic partial differential equations, regularity structures, paracontrolled calculus, nonlinear dispersive equations, Gibbs measures, homogenization, stochastic fluid dynamics, quantum field theory

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