Conferences  >  Mathematics  >  Analysis

Isaac Newton Institute for Mathematical Sciences

Wiener–Hopf method has been conceived around 90 years ago and since then has shaped many areas of modern analysis. Recently, the method has received a new boost following the progress in matrix factorisation theory that was intensively discussed on the INI Programme "Bringing pure and applied analysis together via the Wiener-Hopf technique, its generalisations and applications" (link https://www.newton.ac.uk/event/wht/) in 2019. During the programme, new ideas and concepts have been identified and a direction of the further method development and its impactful applications have been determined and the Wiener–Hopf type methods enables researchers to solve numerous physical, natural technological and financial problems motivated by real world applications. This follow up Workshop will consider a progress made for last five years in both the theory and applications. In theoretical development, there has been significant progress towards numerical and approximate solutions to various classes of Wiener–Hopf and Riemann–Hilbert problems.

Organized jointly in Timisoara by the Institute of Mathematics Simion Stoilow of the Romanian Academy and the West University in Timisoara

As usually, the conference is devoted to operator theory, operator algebras, and their applications (differential operators, complex functions, mathematical physics, matrix analysis, system theory, etc.).

Algebra,    Mathematical Physics

This conference aims to bring together mathematicians working on spectral theory, complex analysis, approximation theory and related areas, and provide a framework for scientific exchange.

Hausdorff Research Institute for Mathematics (HIM)

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.

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

Banach Center

Hausdorff Research Institute for Mathematics (HIM)

This summer school will give participants an introduction to contemporary methods for studying maximal operators, with a particular focus on using maximal operators as a tool to understand other phenomena in analysis.

London Mathematical Society at Cardiff University

Information on the application process at the conference page, deadline 07.04.2024.

The field of geometric flows is a highly active research area located in the intersection of partial differential equations (PDE), differential geometry and convex geometry. The most prominent prototype equations are the mean curvature flow and the Ricci flow, the latter being the main key to the so far only solution of a Millennium problem listed by the Clay institute, the so-called Poincaré conjecture, which was solved by Perelman building upon ideas of Hamilton.

These geometric equations are fully nonlinear systems and the PDE theory required to rigorously understand their details is in the most cases much deeper than what is taught in undergraduate PDE courses. They comprise results from regularity theory for fully nonlinear (elliptic and parabolic) PDE, advanced results from functional analysis and operators on manifolds.

Contrary to what is usually covered in research schools on geometric flows, this school is supposed to focus on the PDE aspects of geometric flows, which is often considered as technical and therefore neglected. Our PDE expert lecturer Dr. Ben Lambert aims to make this material as accessible as possible and the theory will be accompanied by their application to the curvature flow equations, delivered by Prof. Alessandra Pluda. Additional guest lectures with further applications to geometry will be held by Prof. Mohammad N. Ivaki.

This research school is well-suited for research students roughly at PhD level and for early career researchers working in one or both of the fields of PDE and Differential Geometry. In particular, anyone working with PDE is encouraged to apply, even if their work is not related to geometric flows.

Email: scheuer@math.uni-frankfurt.de

Partial Differential Equations; Curvature flows

Banach Center

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

Dynamics Days Europe is a series of major international conferences founded in the 1980’s that provides a European forum for developments in the theory and applications of dynamics. For more than 40 years, it has been bringing together researchers from a wide range of backgrounds including physics, mathematics, biology, and engineering for interdisciplinary research in nonlinear science.

Ergodic theory, topological and homogeneous dynamics Network dynamics Machine Learning Bifurcation theory Dynamics and geometry Nonlinear waves Fluids and turbulence Computational methods Medical and neuro-dynamics Quantum Chaos Multibody dynamics

IWOTA 2024 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 collaborations. It will be held August 12-16, 2024 at the University of Kent in Canterbury, UK.

American Institute of Mathematics, Pasadena, California

This workshop, sponsored by AIM and the NSF, will be devoted to exploring the geometric and analytic regularity of fully nonlinear partial differential equations (PDE) arising from geometry and physics. Ever since Yau's solution to the Calabi conjecture, geometric PDEs, such as the complex Monge-Ampère equations, have been extensively studied from both the geometric and analytic perspective. These equations have profound applications across many areas of mathematics, including differential geometry, metric geometry and algebraic geometry. Notable advancements have been made in this field, including the sharp L∞ estimates of Kolodziej, and Hölder continuity for complex Monge-Ampère equations. The goal is to bring together experts in this field to explore open problems and develop new techniques which are expected to yield solutions to some of the long-standing questions.

The main topics of the workshop include: Exploration of the geometry of Kähler metrics in the absence of Ricci curvature lower bound, using analytic estimates on Kähler potentials. Analyzing the connection between stability, subsolutions, and the existence of solutions for a specific class of fully nonlinear PDEs. Hölder continuity of solutions for fully nonlinear PDEs, particularly those of the Hessian type. Geometric and analytic estimates for singular metrics on complex varieties.

American Institute of Mathematics, Pasadena, California

This workshop, sponsored by AIM and the NSF, will be devoted to exploring the geometric and analytic regularity of fully nonlinear partial differential equations (PDE) arising from geometry and physics. Ever since Yau's solution to the Calabi conjecture, geometric PDEs, such as the complex Monge-Ampère equations, have been extensively studied from both the geometric and analytic perspective. These equations have profound applications across many areas of mathematics, including differential geometry, metric geometry and algebraic geometry. Notable advancements have been made in this field, including the sharp L∞ estimates of Kolodziej, and Hölder continuity for complex Monge-Ampère equations. The goal is to bring together experts in this field to explore open problems and develop new techniques which are expected to yield solutions to some of the long-standing questions.

Simons Laufer Mathematical Sciences Institute (SLMath)

This workshop aims to prepare the participants for the main program: Special Geometric Structures and Analysis. There will be introductory lectures to recent results in geometry and analysis; more precisely in Kähler geometry, special holonomy, microlocal analysis and geometric measure theory

Kähler manifolds, Kahler metrics, Einstein metrics, canonical metrics, special holonomy, Calabi-Yau, geometric elliptic and parabolic PDEs, Pluripotential Theory, variational approach, Monge-Ampère equation, area minimizing currents, semicalibrated currents, minimal surfaces

Geometry and Topology,    Courses and Events for Math Students and Early Career Researchers

TOBB Economics and Technology University

ATSF is an international conference series organized to bring together researchers from ALL areas of Approximation Theory and Special Functions to discuss new ideas and new applications. This organization, which has been held seven times so far as mini-symposia, has grown gradually over the years and will be held for the eighth time on September 4-7, 2024, hosted by TOBB Economics and Technology University (Ankara, Türkiye).

Conference Chair;     Email: atsf2024@gmail.com

Approximation Theory, Summability Theory, Applied Mathematics, Special Functions; Analysis and Functions Theory

Applied Mathematics (in general),    Neural Networks and Artificial Intelligence, Machine Learning

The UK Spectral Theory Network aims to strengthen the research interaction among people working in spectral theory and adjoining fields in the UK. It offers Early Career Researchers, PhD students and members of the network an effective platform for exploring connections between the multifaceted strands of the subject, exchanging ideas and developing new collaborations. It promotes equality, diversity and inclusion in mathematics, and inspires future generations of researchers in the field.

Hausdorff Research Institute for Mathematics (HIM)

The trimester program aims to bring together experts, postdocs, and students in computer science and certain areas in mathematics (analysis, probability, and combinatorics) in order to learn about some challenging open problems recently raised in computer science, to use and invent necessary new tools and techniques in mathematics to solve these challenging problems, and vice versa to learn and further extend methods developed in computer science to develop new directions in mathematics motivated by questions in computer science. The core topics of the trimester program would be: learning theory, complexity of classical and quantum algorithms, vector valued functions on the hypercube, complex Hypercontractivity, polynomial inequalities on the hypercube, and discrete approximation theory on the hamming cube.

Courses and Events for Math Students and Early Career Researchers,    Information Theory, Foundations of Computer Science

Institute of Mathematics and its Applications (IMA)

Inverse problems are widespread in many varied fields such as medical and satellite imaging, biology, astronomy, geophysics, environmental sciences, computer vision, energy, finance, and defence. These problems are inverse in the sense that they arise from seeking to use a mathematical or physical model “backwards” to indirectly determine a quantity of interest from the effect that this quantity causes on some observed data.

Email: conferences@ima.org.uk

Inverse problems in mathematical and computational imaging, science, medicine, engineering, Optimisation, statistical, machine learning, Mathematical theory, Deterministic and stochastic computational methods and algorithms.

Meetings of Professional Bodies in Mathematics,    Applied Mathematics (in general)

The Hausdorff Research Institute for Mathematics (HIM)

The interaction between learning theory and harmonic analysis was emphasized by mathematics of quantum computing. One of the outstanding open problems in this area concerns the sharp estimates in Bohnenblust-Hille inequality that generalizes a celebrated Littlewood’s lemma. How to learn (with small error and with large probability) a complicated function or a very large matrix in a relatively small number of random (quantum) queries? Of course, there should be some Fourier type restrictions on a function (a matrix) to have a reasonable answer to this. The “classical” way of learning (Boolean) functions comes from very sophisticated extensions of theorems of Kahn—Kalai—Linial type. In those results the interplay between maximal influence and heavy Fourier tails is the main technique. Maximal influence should be large if the `tail’ is small. However, recently another approach that is hinged on Bohnenblust—Hille inequality appeared. The school will cover the classical maximal influence approach to `probably approximately correct' (PAC) learning as well as the recent achievements using Bohnenblust—Hille inequality and its quantum counterpart.

Neural Networks and Artificial Intelligence, Machine Learning,    Courses and Events for Math Students and Early Career Researchers

The Hausdorff Research Institute for Mathematics (HIM)

This workshop aims at bringing together young and talented mathematicians which work on subjects related to Calculus of Variations and its applications. Examples of interesting topics covered in the conference include regularity in PDEs, machine learning, mechanics, geometric flows, optimal transportation, Riemannian geometry, and quantum mechanics.

The general idea of the workshop is to not limit the interaction between speakers and participants to the bare scientific presentations, but to provide enough space and time between the talks to leave space to potential collaborations and fruitful discussions. We in particular encourage researchers in a young stage of career (Master and PhD students) to participate to the Workshop.

SFB 1085 Higher Invariants at the Faculty of Mathematics at the Universität Regensburg

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

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.

Institute for Advanced Study in Mathematics (IASM)

Free boundaries and moving interfaces are ubiquitous in our daily activities such as pouring red wine into a glass, jumping into a swimming pool, or watching water waves at the beach. Other processes involving interfaces are much less visible, but have great impacts on our lives. For example, one mechanism by which cancel cells move around is to change the shape of their boundaries. As another example, three major components in our blood are the red cells, the white cells, and platelets; injure of blood vessels will trigger complicated chemical reactions and physical processes that occur on the interface of these cells. It is therefore extremely important to solve key problems in this scientific field so that we can save money, energy, time, and even human lives. One major tool for sciences in this field is through mathematical modeling and numerical computations. This workshop aims to bring together experts from various disciplines to work together on the analysis, modeling, computation, and applications of a wide range of free-boundary and moving-interface problems.

Numerical Analysis and Computational Mathematics,    Modeling and Simulation

Simons Laufer Mathematical Sciences Institute (SLMath)

This workshop will bring together researchers at the frontiers of geometric analysis and Riemannian geometry, with a focus on recent advances on geometric flows, geometric problems in mathematical relativity, global Riemannian geometry, and minimal submanifolds. These areas have shown highly intriguing interactions in recent years and we expect this workshop will provide a unique opportunity to facilitate these emerging links.

mean curvature flow, Ricci flow, fully nonlinear flows, general relativity, mass, Ricci curvature, scalar curvature, sectional curvature, symmetry, Riemannian geometry, groups actions, minimal surfaces, stability, and index

Institute for Advanced Study in Mathematics (IASM)

In recent years significant progress has been made within the fundamental areas of complex analysis which resulted in development of the unified transform method, numerical methods for Riemann-Hilbert problems, advances in matrix Wiener-Hopf method, and conformal mappings of multiply connected domains. This workshop will bring together world-leading experts and new generation of researchers in Riemann-Hilbert problems and Wiener-Hopf method, and related areas of complex analysis, as well as the applications of these techniques in various areas of science and technology. The fruitful collaborations between pure and applied communities within these areas (from both Academy and Industry) will promote connections between different branches of modern sciences and will help in addressing complex technological and societal challenges.

Sidi Mohamed Ben Abdellah University, Faculty of Sciences Dhar El Mahraz

Email: icdgfez2024@gmail.com

Geometry and Topology,    Algebra

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

The Hausdorff Research Institute for Mathematics (HIM)

Harmonic analysis on the hypercube has long found exciting applications in theoretical computer science, in areas as diverse as learning theory, voting theory, and computational complexity theory. And TCS has also inspired challenging new questions in analysis, often leading to new perspectives on familiar topics. Indeed, this connection is only deepening as quantum computing, machine learning, and other areas of TCS expand to spaces beyond the hypercube. Talks in this workshop will focus on such connections recently uncovered, techniques in use today, and conjectures old and new. We hope it can also be an invitation to the topic for a harmonic analysis audience, thanks to additional introductory talks scheduled.

CIRM – Centre International de Rencontres Mathématiques

Institute for Computational and Experimental Research in Mathematics (ICERM)

In recent years, there has been a significant increase in the interaction between harmonic analysis and convex geometry, leading to solutions for several longstanding open problems, the discovery of new phenomena, as well as many new intriguing open questions. These connections were studied during the Fall 2022 ICERM semester program Harmonic Analysis and Convexity. The objective of this workshop is to revisit and review the results produced during the semester and the subsequent year. The primary areas of focus for the workshop will encompass: The Fourier approach to Geometric Tomography; Volume and Duality; the Bellman technique for extremal problems in harmonic analysis; Convexity of solutions to Hamilton–Jacobi–Bellman equations; as well as numerical computations and computer-assisted proofs: Exploring the use of computational methods for theoretical aspects, including optimal algorithms, as well as practical implementation.

ICERM;     Email: info@icerm.brown.edu

harmonic analysis, convex geometry, computation and computer-assisted proofs

Discover the forefront of research and innovation in the field of Fractional Calculus! The International Conference on Fractional Calculus and Applications is a premier gathering of scholars, researchers, and professionals from around the world, dedicated to advancing knowledge and fostering collaboration in this rapidly evolving discipline.

Fractional Differential Equations, Fractional Partial Differential Equations, Theory of existence and uniqueness of solutions, Stability analysis, Boundary value problems, Inverse problems, Fractional Control Systems, Applications in Physics, Engineering, Biology, and more.

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

Hausdorff Research Institute for Mathematics (HIM)

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

Graph Theory and Combinatorics,    Algebra

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.

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

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

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

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

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

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