Conférences  >  Mathématiques  >  Calcul infinitésimal, équations différentielles et intégrales

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Partial differential equations are a fundamental tool for modeling various physical phenomena and engineering problems. For example, oil flows in rock grains, turbulent filtration processes, groundwater flows, shallow water waves, phase changes of materials, and traffic congestion problems. The relevant PDEs are non-linear, and present certain degenerate and/or singular nature. Important examples include but are not limited to the porous medium equation, the p-Laplace equation, the total variation flow, the Stefan problem, doubly non-linear parabolic equations, widely degenerate equations, as well as related non-local equations.

Topics of the workshop include: (1) ​Gradient regularity for the porous medium/fast diffusion equation, (2) Wiener's criterion for non-linear parabolic equations, (3) Boundary Harnack estimates, (4) Regularity theory for Stefan-type problems, (5) Regularity theory for widely degenerate equations.

Cours et évènements pour étudiants en mathématiques,    Analyse

Université du Québec à Montréal (UQAM)

The proposed three-day workshop will focus on interrelated mathematical advances in each of the following highly active areas of current research: complex birational geometry (led by MMP), K-stability, and moduli spaces. These domains are of fundamental importance for the (birational) geometry and classification of complex projective varieties as well as for the understanding of their moduli spaces. The workshop will focus on some of the current frontiers that are of particular importance to each of these areas.

In addition to encouraging and stimulating interactions between relevant experts, the workshop will provide a valuable opportunity to explain to interested graduate students and young researchers the details of the techniques used through mini-courses and specialized lectures. Many speakers are renowned speakers in addition to being leading experts in their field. In particular, the workshop plans to have three mini-lectures, one by Sándor Kovács on the now classical and important KSBA (Kollar-Shepherd-Baron and Alexeev) compactification of moduli spaces, one by Chenyang Xu on the recent roles of the MMP on K-stability and one by Kenneth Ascher on K-moduli and the role of moduli space theory. In addition to our guest speakers, we intend to involve graduate students and postdocs.

minimal model program, K-stability, moduli space, varieties, birational geometry, GIT, Yau-Tian-Donaldson conjecture, PDE

Géométrie et topologie,    Algèbre

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

Analyse,    Algèbre

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.

Physique mathématique,    Mathématiques appliquées (en général)

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

Mathématiques appliquées (en général),    Algorithmes et structures de données

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).

Analyse,    Cours et évènements pour étudiants en mathématiques

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

Analyse,    Géométrie et topologie

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

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

Analyse,    Mathématiques numériques

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.

Analyse,    Mathématiques numériques

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),    Physique mathématique

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),    Physique mathématique

Bulgarian Academy of Sciences

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

Mathématiques appliquées (en général),    Analyse

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.

Analyse,    Mathématiques appliquées (en général)

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)