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The Hausdorff Research Institute for Mathematics (HIM)

Analytic questions of a discrete nature are ubiquitous in many areas of mathematics and theoretical computer science. The purpose of this conference is to bring together a diverse group of experts working, broadly, on Discrete Analysis with particular emphasis on questions having a geometric component. The topics will include Boolean analysis, vector-valued harmonic analysis, metric embeddings, geometry of graphs and groups, and aspects of discrete probability and theoretical computer science.

Hausdorff Research Institute for Mathematics (HIM)

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,    Calcul infinitésimal, équations différentielles et intégrales

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.

Physique mathématique,    Mathématiques appliquées (en général)

CIRM – Centre International de Rencontres Mathématiques

Starting in the 2011 Annals of Mathematics paper of Foreman, Rudolph and Weiss there have many results showing that classical problems in dynamical systems are unsolvable using inherently countable resources. The initial results were for abstract measure preserving systems, but more recent work has focussed on smooth systems on compact manifolds. Gerber and Kunde have made very significant contributions for smooth transformations that are weakly mixing and for Kautomorphisms. They also showed that the Kakutani equivalence relation is not Borel. These results raise more questions than they solve! The proposed Research inResidence is to bring the four researchers together to share knowledge and techniques and hopefully make progress on the open problems.

Faculty of Mathematics at the Universität Regensburg

Algèbre,    Géométrie et topologie

Simons Laufer Mathematical Sciences Institute (SLMath)

Many exciting breakthroughs in combinatorics involve innovative applications of techniques from a wide range of areas such as harmonic analysis, polynomial and linear algebraic methods, spectral graph theory, and representation theory. This workshop will present recent developments in this area and facilitate discussions of research problems.

extremal combinatorics, extremal graph theory, probabilistic combinatorics, discrete geometry, additive combinatorics, combinatorial geometry, incidence geometry, arithmetic progressions, Discrete analysis

Théorie des graphes et combinatoire,    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

Algèbre,    Calcul infinitésimal, équations différentielles et intégrales

Simons Laufer Mathematical Sciences Institute (SLMath)

In recent years techniques from harmonic analysis viz. projection theorems have found striking applications in finitary analysis on homogenous spaces. Such quantitative results have many potential applications to analytic number theory. This workshop will bring together researchers in these areas to further explore these connections.

University of Bristol / Heilbronn Institute for Mathematical Research

Colloquium-style talks from leading researchers about significant research developments in a range of topics in probability, analysis and dynamical systems.

Email.: pad25-conference@bristol.ac.uk

Probability, Analysis, Dynamical Systems, Ergodic Theory

CIRM – Centre International de Rencontres Mathématiques

Kathmandu University, Dhulikhel in collaboration of Tribhuvan University, Nepal Sanskrit University and Nepal Mathematical Society

The conference intends to bring together experts, faculties, students and researchers from classical and applied mathematics and from a variety of many other disciplines, where mathematics finds its numerous applications. The primary objective of the conference is to offer a common platform to interact with each other, to share their knowledge and experiences as well as to exchange their innovative ideas, views, and discuss the topics of mutual interests in the challenging and widely applied domain of mathematical analysis. The conference also offers the participants an opportunity to be familiar with the contemporary developments and recent trends in the subject and acquaint the young researchers.

Non-linear Analysis, Fixed point theory, Operator Theory; Complex Analysis, Harmonic Analysis, Wavelet Analysis, Special Functions; Functional Analysis, Fourier Analysis, Numerical Analysis, Convex Analysis; Optimization Theory, Queueing Theory, Finance & Economics; Differential Equations, Mathematical Biology, Mathematical Modelling; Data Science and Machine Learning

Mathématiques générales et evénement multidisciplinaires,    Optimisation, recherche opérationnelle

CIRM – Centre International de Rencontres Mathématiques

The question of whether or not a collection of equations has a solution in the integers is notoriously challenging, with the answer depending heavily on the geometry of the constituent equations. An important reduction is localization – looking at the equations modulo a prime or over the real numbers. Having solutions locally is a key necessary condition for the equations to have an integral solution and much more tractable to determine explicitly. The proposed research involves determining explicit and exact expressions for how often certain families of equations have local solutions, which can sometimes yield explicit results for how often an equation has an integral solution. In particular, we propose an approach to determine how often a degree 3 polynomial in n+1 variables has an integral zero, by reducing to the local probabilities (via recent work of Browning, Le Boudec, and Sawin) and determining them by a careful recursive argument.

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).

Calcul infinitésimal, équations différentielles et intégrales,    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.

The Faculty of Mathematics and Physics of Charles University together with the Faculty of Electrical Engineering of the Czech Technical University in Prague will organize the Spring School on Analysis 2025.

The purpose of this meeting is to bring together researchers with a common interest in the field. Graduate students and others beginning their mathematical careers are encouraged to participate. There will be opportunities for informal discussions and short communications.

Banach Center

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

Géométrie et topologie,    Calcul infinitésimal, équations différentielles et intégrales

Banach Center

The conference will explore the Yang-Baxter equation (YBE), a central topic in pure mathematics with connections to particle physics, statistical mechanics, and various mathematical fields like algebra, knot theory, tensor categories, and Hopf–Galois theory. Introduced in the 1960s by Yang and Baxter, the YBE has evolved into a rich and profound area of study. Drinfel'd's combinatorial version of the YBE, proposed in 1992, unveiled deep connections to numerous mathematical structures, including skew polynomial algebras, Bieberbach and Garside groups, and self-distributive structures such as racks and quandles. New algebraic concepts such as cycle sets, braces, and trusses were developed to address YBE-related problems and have found applications in other areas of mathematics.

Banach Center

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

Mathématiques numériques,    Calcul infinitésimal, équations différentielles et intégrales

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

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.

Mathématiques numériques,    Calcul infinitésimal, équations différentielles et intégrales

Bulgarian Academy of Sciences

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

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

University POLITEHNICA Bucharest, Romania

The 12th International Conference on Stochastic Analysis and its Applications (ICSAA) is part of a biannual series of meetings. The first edition was held in Washington in 2006 and the last one in Edinburgh in 2023.

Stochastic analysis and its applications; Stochastic differential and partial differential equations; Markov processes including jump type processes and measure-valued processes; Dirichlet forms; Analysis on fractals and percolation clusters.

Mathématiques appliquées (en général),    Statistique, Théorie des jeux

Banach Center

Banach Center

Géométrie et topologie,    Statistique, Théorie des jeux

Bernoulli Centrer, EPFL, Lausanne, Switzerland

This workshop provides a platform for young researchers to present their work, engage in discussions, and foster collaboration and idea-sharing in the fields of stochastic analysis and stochastic geometric analysis.

Solution Theory, Large-Time Dynamics, Ergodicity, and Limit Theorems, Mathematical Models from Natural and Social Sciences, Geometric Properties of Stochastic Processes, including processes on manifolds, Multi-Time Scale Stochastic Dynamics

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

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

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.

Calcul infinitésimal, équations différentielles et intégrales,    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)