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Hausdorff Research Institute for Mathematics (HIM)

The goal of this program is to bring together experts of Formal Mathematics, exploit their interactions, foster future collaborations, and interface them better with the mathematical mainstream. At the same time the goal is to provide a platform for junior researchers to enter Formal Mathematics. A central, unifying theme is to break down adoption barriers of formal methods in Mathematics.

Logique mathématique et fondements,    Démonstration automatique de théorèmes

Simons Laufer Mathematical Sciences Institute (SLMath)

ADJOINT is a yearlong program that provides opportunities for U.S. mathematicians – especially those from the African Diaspora – to conduct collaborative research on topics at the forefront of mathematical and statistical research. Participants will spend two weeks taking part in an intensive collaborative summer session at SLMath (formerly MSRI). The two-week summer session for ADJOINT 2024 will take place June 24 to July 5, 2024 in Berkeley, California.

Centre International de Mathématiques Pures et Appliquées (CIMPA)

The school aims at introducing the students to a few lines of research in number theory revolving around the concepts of lattices, heights and diophantine approximation. Part of the school is devoted to presenting the recent proof by Maryna Viazovska that the densest sphere packing in dimension 8 is the one given by the E_8 lattice. In 2022 she was awarded the Fields medal. To this end we introduce the students to lattices, sphere packings and modular forms. We will prove the Cohn-Elkies bound and finally we will study Viazovska's construction of the function which optimizes such bound and proves that the E_8 lattice is the densest packing in dimension 8. In the other part of the program we will introduce the machinery of heights, which are standard tools of Diophantine geometry used to measure arithmetic complexity of objects. We will then demonstrate the use of height functions in Diophantine approximation and Diophantine geometry discussing results and conjectures such as the Mordell-Weil theorem, Faltings' theorem, Siegel's lemma, Cassels' theorem, Lehmer's conjecture, and many others. On the Diophantine approximation side, we will discuss the central themes of equidistribution and approximation of reals by algebraic numbers. We expect the participants to gain familiarity with these central and vibrant areas of mathematics that have been at the forefront of mathematical research for over a hundred years. Our program is specifically designed in a way that assumes a rather modest background, but with a concentrated and focused approach takes the audience to some of the modern-day research directions.

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Mathématiques appliquées (en général),    Physique de la matière condensée et des matériaux

Offering high school students worldwide a chance to showcase excellence in logic and problem-solving, this contest is designed by the Stanford Logic Group, with aims to internationalize logic education and culminates in an on-campus final round at Stanford University. Join the global celebration of logic and problem-solving at ILO2024, this prestigious contest for high school students worldwide aims to expand logic education internationally, while fostering a vibrant global community of logical thinkers.

Logique mathématique et fondements,    Cours et événements pour étudiants en physique

Erdős Center - Alfréd Rényi Institute of Mathematics

The Simons collaboration on “New structures in low-dimensional topology” organises a summer school, consisting of 6 short lecture series on topics and techniques in low-dimensional topology. The main target audience are PhD students in low-dimensional topology.

Banach Center

Cours et événements pour étudiants en physique,    Mathématiques appliquées (en général)

Poisson 2024 is the 13th in a series of international meetings on Poisson geometry. Poisson 2024 will be held at the Accademia Pontaniana, Napoli, Italy. The event comprises: a Summer School (July 1-5), aimed at students in their final years, PhD students and young researchers. an International Conference (July 8-12), to be attended by students and researchers from around the world, including some of the leading mathematicians in the field of Poisson Geometry.

Abdus Salam International Centre for Theoretical Physics (ICTP), Trieste, Italy

Cours et événements pour étudiants en physique,    Météorologie et les changements climatiques

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Tsinghua University – University of Amsterdam Joint Research Centre for Logic

The Tsinghua University – University of Amsterdam Joint Research Centre for Logic initiated a Logic Summer School Program in the year 2021. The program is primarily aimed at advanced undergraduate students, graduate students, and early career researchers in philosophy, computer science, mathematics, linguistics, cognitive sciences, and so on. Students and colleagues can learn here about the latest developments in logic interfacing with the aforementioned disciplines, including their theoretical results and technical backgrounds. The courses are particularly designed to supplement the logic courses that are taught in the usual curriculum.

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.

Analyse,    Calcul infinitésimal, équations différentielles et intégrales

Simons Laufer Mathematical Sciences Institute (SLMath)

In the last few years, there have been extraordinary developments in many aspects of curve theory. Beginning with many examples in low genus, this summer school will introduce the participants to the background behind these developments in the following areas: moduli spaces of stable curves Brill–Noether theory the extrinsic geometry of the curves in projective space We will also include an introduction to some open problems at the forefront of these active areas.

Abdus Salam International Centre for Theoretical Physics (ICTP), Trieste, Italy

Réseaux de neurones et intelligence artificielle, apprentissage automatique,    Evènements pour étudiants en informatique

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

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.

ICMS The Bayes Centre

This workshop aims to provide an opportunity for PhD students and postdocs to form new collaborations and generate new research in the areas of Extremal and Probabilistic, Geometric, and Structural Combinatorics.

European Association for Artificial Intelligence (EurAI)

The European Summer School on Artificial Intelligence (ESSAI) is the premier school on Artificial Intelligence in Europe. It is held every year by the European Association for Artificial Intelligence (EurAI) together with the Advanced Course on Artificial Intelligence (ACAI), and it will be organized jointly with the 4th TAILOR Summer School on Artificial Intelligence.

Cours et événements pour étudiants en physique,    Réseaux de neurones et intelligence artificielle, apprentissage automatique

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Calcul scientifique et science des données,    Histoire et philosophie de la science

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Géométrie et topologie,    Théorie des graphes et combinatoire

Banach Center

Analyse,    Calcul infinitésimal, équations différentielles et intégrales

Universidad de los Andes

Tropical geometry is a piece-wise linear geometry which merges ideas from algebraic, symplectic and non-archimedean geometry with tools from combinatorics and convex geometry. Via the process of tropicalization, classical varieties and geometric problems can be connected to the tropical world and, in some cases, solved there. In non-archimedean geometry, the valuation on the underlying field makes the idea of tropicalization particularly natural and powerful. In recent years, this connection has received much attention and exhibited links to diverse topics such as Hodge theory, mirror symmetry and the study of zeta functions. The main goal of this event is to introduce students and young mathematicians to these exciting topics and to foster and strengthen the connections between local researchers and the international mathematical community.

Email.: p.cubideskovacsics{at}uniandes.edu.co

Tropical geometry, non-archimdean geometry

Algèbre,    Géométrie et topologie

Hausdorff Research Institute for Mathematics (HIM)

Logique mathématique et fondements,    Théorie de l'information, fondations de l'informatique

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Thermodynamique, dynamique des fluides et physique statistique,    Théorie de l'information, fondations de l'informatique

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Réseaux, Internet,    Réseaux complexes

Centro de Ciencias de Benasque Pedro Pascual

The main purpose of this Workshop-Summer School is to build an opportunity to share recent results, ideas and projects related to the theory of Partial Differential Equations (PDE), with particular emphasis on issues related with its numerical approximation, the optimal design and control. This new edition will pay special attention to the interactions with Data Sciences and Machine Learning.

Calcul infinitésimal, équations différentielles et intégrales,    Mathématiques numériques

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Simons Laufer Mathematical Sciences Institute (SLMath)

This workshop will include introductory lectures on each of the four main topics of the program: geometric flows, geometric problems in mathematical relativity, global Riemannian geometry, and minimal submanifolds. The workshop will also have semi-expository lectures on recent advances and breakthroughs involving interactions between the four main topics. This will set the stage and provide important context for the semester-long program itself.

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

Géométrie et topologie,    Algèbre

The Young Researchers community arranges an informal gathering designed for PhD students and early-career scientists. Attendees will be able to participate in talks delivered by distinguished researchers, gain insights into the scientific and life experiences of both junior and senior colleagues, and, of course, socialise and have fun.

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Théorie des graphes et combinatoire,    Géométrie et topologie

The workshop is primarily aimed at researchers on the doctoral and early postdoctoral level. Besides the mini-courses and research talks of the speakers listed below, we will offer selected participants the opportunity to present their own work.

CIRM – Centre International de Rencontres Mathématiques

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

Géométrie et topologie,    Analyse

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Statistique, Théorie des jeux,    Géométrie et topologie

Hausdorff Research Institute for Mathematics (HIM)

Disordered systems emerge from physical models by incorporating additional random effects. They also appear as models for complex systems in various contexts, such as computer science or biology. Understanding these models rigorously has been a great challenge for several decades, but the mathematical research in disordered systems and related fields has seen tremendous progress in recent years and benefits from a fruitful interplay of techniques from probability theory, mathematical analysis, combinatorics and mathematical physics. The aim of the school is to present to PhD students and young researchers some of the most fascinating developments in disordered systems and related fields in recent years.

Systèmes, contrôle et automatisation,    Systèmes complexes et chaos

Mathematical Institute SASA, Faculty of Mathematics, University of Belgrade

https://sites.google.com/view/intac24/

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.

Analyse,    Théorie de l'information, fondations de l'informatique

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Biologie des systèmes,    Épidémiologie

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.

Réseaux de neurones et intelligence artificielle, apprentissage automatique,    Analyse

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Algèbre,    Théorie des groupes

Isaac Newton Institute for Mathematical Sciences

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

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

Algèbre,    Analyse

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Géométrie et topologie,    Biologie des systèmes

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Réseaux de neurones et intelligence artificielle, apprentissage automatique,    Mise en œuvre et applications de l'intelligence artificielle

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Calcul scientifique et science des données,    Calcul infinitésimal, équations différentielles et intégrales

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Algèbre,    Théorie des groupes

Isaac Newton Institute for Mathematical Sciences

The school will be the starting event of the INI programme `Quantum information, quantum groups and operator algebras'. It will consist of three introductory lecture courses on the main themes of the programme. The key focus will be on integrating experts working on different topics and indicating possible directions of research interactions. The school is also open to any researchers interested in the topics, especially graduate students.

Théorie de l'information quantique et informatique quantique,    Evènements pour étudiants en informatique

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Astronomie, astrophysique et cosmologie,    Réseaux de neurones et intelligence artificielle, apprentissage automatique

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Abdus Salam International Centre for Theoretical Physics (ICTP), Trieste, Italy

The School provides early stage researchers with interactive experiences of hands-on research involving table-top experiments with computer data acquisition and modeling. Participants will also take part in professional development of improved scientific communication in English.

Biological Physics, Optical Physics, Modeling of Epidemics, Soft Matter Physics, Turbulence/Flow Instabilities, Machine Learning in Table-Top experiments, Modeling in MATLAB - Molecular Dynamics, Maker Movement Techniques—3D Printing, Field Programmable Gate Arrays, Computational Modeling

Cours et événements pour étudiants en physique,    Systèmes complexes et chaos

Isaac Newton Institute for Mathematical Sciences

Equivariant techniques have played a critical role in the proofs of several major results and developments in algebraic topology over the past decade. Examples include the solution of the famous Kervaire invariant one problem, computations of previously inaccessible homotopy groups of spheres based on the motivic Adams spectral sequence, and the new equivariant approach to THH, TC, and algebraic K- theory. The programme will unite experts and young researchers who apply homotopic methods in algebra (operads), algebraic topology, and algebraic geometry (motivic homotopy theory) around the common theme of equivariant methods. Though these methods have already led to significant breakthroughs, their potential is clearly far from exhausted. We foresee that this programme will incite further developments and greater synergies between equivariant homotopy theory and the themes of the programme centred around three workshops: "Operads and calculus", "Chromatic and motivic homotopy theory" and "THH, TC and algebraic K- theory".

Algèbre,    Géométrie et topologie

Simons Laufer Mathematical Sciences Institute (SLMath)

Networks, graph driven algorithms, and dynamics on graphs such as epidemics, random walks and centrality measures all play a major role, both in our daily lives as well as many scientific and engineering disciplines. This introductory workshop will bring together experts and junior researchers in combinatorics, probability, and statistics to share a broad vision of major challenges and objectives, with a primary focus on models of random graphs and their limits, network inference, dynamic processes on networks and algorithms and optimization on random structures.

Network models and random graphs, statistcal learning and network inference, counting and sampling discrete structures, dynamics on networks, probabilistic analysis of network algorithms

Simons Laufer Mathematical Sciences Institute (SLMath)

This workshop will feature leading experts in several major areas of graph theory, including extremal, probabilistic and structural aspects of the field. Introductory lectures will form an important part of the program, providing background and motivation, and aimed at a general mathematical audience. Complementing these, research talks will share exciting recent developments in graph theory.

extremal graph theory, random graphs, probabilistic methods, structural graph theory, Ramsey theory

Isaac Newton Institute for Mathematical Sciences

Algèbre,    Géométrie et topologie

Isaac Newton Institute for Mathematical Sciences

Algèbre,    Géométrie et topologie

Isaac Newton Institute for Mathematical Sciences

Equivariant homotopy theory in context

Algèbre,    Géométrie et topologie

Centre International de Mathématiques Pures et Appliquées (CIMPA)

An L-function is a function defined additively by a Dirichlet series with a multiplicative Euler product. The initial work of Dirichlet was generalized to number fields by Hecke and given an adelic interpretation by Tate which paved the way to move from GL(1) to higher degree L functions associated to automorphic forms of GL(n) for a general n . Automorphic L functions are essentially analytic objects and allow translations between arithmetic and analysis. We recall the legendary correspondence in the case of the Riemann-ζ function, the prototype of higher L -functions both analytic and arithmetic-algebraic, between an arithmetic statement on the distribution of primes and an analytic one on the distribution of its zeros. Now there are many more parameters to explore. For example, bounding twisted automorphic forms in terms of conductors help obtain the asymptotics of representations of totally positive integers by ternary quadratic forms. The aim of this school is to prepare the participants to appreciate the contemporary theory of automorphic representations, their L -functions and their surprising links with diverse fields like Fourier analysis, algebraic geometry and theoretical physics.

The Fields Institute for Research in Mathematical Sciences

This intensive graduate school will cover topics central to the Workshop on Homotopy Theory the following week. This school is designed to give graduate students and early career researchers in related fields a better understanding of each subject, thus enabling the participants to better engage in the subsequent workshop.

The Fields Institute for Research in Mathematical Sciences

This intensive graduate school will cover topics central to the Workshop on Homotopy Theory the following week. This school is designed to give graduate students and early career researchers in related fields a better understanding of each subject, thus enabling the participants to better engage in the subsequent workshop.

The Fields Institute for Research in Mathematical Sciences

This workshop will accelerate development of new directions in chromatic and unstable homotopy theory and in the homotopy theory of polyhedral products. Key will be the exploration of areas of interaction: unstable homotopy theory and polyhedral products have substantial existing intersection while recent developments in chromatic homotopy theory suggest exciting new intersections with unstable homotopy theory and polyhedral products.

The Fields Institute for Research in Mathematical Sciences

This intensive graduate school will cover topics central to the Workshop on Interactions between Group Theory and Homotopy Theory the following week. This school is designed to give graduate students and early career researchers in related fields a better understanding of each subject, thus enabling the participants to better engage in the subsequent workshop.

The Fields Institute for Research in Mathematical Sciences

This intensive graduate school will cover topics central to the Workshop on Interactions between Group Theory and Homotopy Theory the following week. This school is designed to give graduate students and early career researchers in related fields a better understanding of each subject, thus enabling the participants to better engage in the subsequent workshop.

Géométrie et topologie,    Théorie des groupes

The Fields Institute for Research in Mathematical Sciences

Group theory and topology have a long and rich history of interaction. This workshop will bring together experts working on different aspects of this interaction in order to share ideas and boost the development of new methods that can be applied to the topology of configuration spaces, braid groups, mapping class groups and manifolds, and spaces of commuting elements.

Géométrie et topologie,    Théorie des groupes