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

Quantum Mechanics and Quantum Technology,    Calculus, Differential Equations and Integration

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

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

ICMS - International Centre for Mathematical Sciences

The proposed summer school is devoted to the fundamental theory, state-of-the-art methodologies and real-world applications of Bayesian filtering, including sequential Monte Carlo (SMC) algorithms and other popular techniques, such as sigma-point methods for nonlinear Kalman filtering, Gaussian-mixture filters and others. We will introduce the basics of the field, so the summer school can be followed by an heterogenous audience. Basic notions on linear algebra, statistics, probability, and calculus are recommended. Then, the main targeted group for this summer school is PhD students with background in mathematics, statistics, physics, engineering, or computer science (but not only). Other students (e.g., last year MSc students) and early-career academics with similar background are also invited to apply. We intend to schedule 5 short courses (one-day tutorials) from renowned international researchers. These tutorials will cover the theoretical foundations of the field, current methodological trends, and relevant applications. Some courses may include hands-on sessions in (personal) computers. The target audience include researchers working on the field, as well as students aiming at being introduced to the topic.

Probability and Statistics, Game Theory,    Modeling and Simulation

South American Institute for Fundamental Research (ICTP-SAIFR)

The summer school will bring together advanced undergraduate and early master students in mathematics, life sciences, physics, computer sciences, and chemistry enrolled in Canadian universities.The main objectives of the summer school are to expose them to cutting-edge research at the interface of scientific domains,to open their minds to interdisciplinary research, and to excite them to pursue their studies in these fields.This summer school is founded on the belief that fundamental progress in science can be achieved by combining knowledge, concepts, tools, and methods from diverse scientific disciplines.

Courses and Events for Physics Students,    Summer/Winter Schools and Events for Chemistry Students

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.

Mathematical Logic and Foundations,    Automated Theorem Proving

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

Scientific Computing and Data Science,    Complex Networks

Hausdorff Research Institute for Mathematics (HIM)

University of Georgia

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

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

Neural Networks and Artificial Intelligence, Machine Learning,    Probability and Statistics, Game Theory

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

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

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

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

The summer school is jointly organized by the Digital Security (DiS) group, Radboud University (The Netherlands), Max Planck Institute for Security and Privacy (Germany), Eindhoven University of Technology (The Netherlands) and Faculty of Electrical Engineering and Computing, University of Zagreb (Croatia).

Cryptography, Blockchain and Information Security,    Events for IT Students and Early Career Researchers

Centre de recherches mathématiques, Université de Montréal

This school intends to present various developments in Riemannian and Kähler geometry around the notion of curvature seen as a tool to describe and understand the geometry of the objects. Each week of the session will have a different flavor, but similar problems and methods will be emphasized, and we expect this will lead to fruitful interactions. Our main target audience is young mathematicians, particularly graduate students and early-career researchers. We expect the school to give them the opportunity to learn key ideas and techniques of the field, with an emphasis on solidifying foundations in view of potential future research. Consequently, junior women mathematicians and those from under-represented minority groups will be given priority for financial assistance. We aim for 100 participants including at least 60 young researchers (PhD students, postdoc fellows). Moreover, the school will also feature problem sessions provided by lecturers and selected talks by young researchers.

The American University of Beirut / Centre International de Mathématiques Pures et Appliquées (CIMPA)

The relation between modular forms and their corresponding L-functions with various disciplines of mathematics has undergone significant evolution in the past century due to the critical role these complex analytical functions play in resolving essential problems and conjectures. The connection of modular forms and their L-functions with number theory, elliptic curves, representation theory, and algebraic geometry, among others, have resulted in diverse generalizations in different directions. The primary objective of the summer school is to acquaint graduate students in Lebanon and other regions with different types of modular forms and their practical applications. The school is designed to be spread over two weeks, with the first week serving as an introduction to basic concepts and the second week focusing on advanced and contemporary developments. In addition to the mini-courses, the program includes a programming tutorial intended to provide students with opportunities to interact directly with the computational aspect of the theory.

Centre International de Mathématiques Pures et Appliquées (CIMPA)

The aim of this school is to introduce students to some aspect of (algorithmic) number theory and arithmetic geometry and the very fruitful interplay between those subjects and the applied disciplines of cryptography and coding theory. This interplay has been very fruitful in the recent and not so recent past, notable examples being the construction of cryptosystems using elliptic curves over finite fields and the construction of codes using algebraic varieties. Our program consists of four courses on algorithmic number theory, elliptic curves, algebraic coding theory and isogeny based cryptography, respectively. These courses will introduce the students to a variety of tools in number theory and arithmetic geometry as well as their applications in cryptography and coding theory. Topics will include class groups of number fields and Buchmann's subexponential algorithm for computing them, the Mordell-Weil theorem for elliptic curves over number fields, Reed-Muller code and Goppa code, algorithms to compute and evaluate isogenies of elliptic curves. Every course will combine theoretical and practical aspects: exercises and programming sessions will be held in all four courses, putting students' proactive learning at the center of this project.

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

Georgia Institute of Technology Atlanta, GA

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

Applied Mathematics (in general),    Condensed Matter Physics and Materials

Queen's University, Department of Mathematics and Statistics

The Queen's Mathematics Summer School is open to students who are interested in spending one week learning exciting, cutting-edge mathematics on the beautiful campus of Queen's University by the shores of Lake Ontario. There will be three courses, each with 9 hours of lecture time over the week.

Organizing Committee;     Phone: [613-533-2390];     Email: qmss24@queensu.ca

Hyperbolic PDEs, Hamilton-Jacobi, applications to vehicular traffic, temporal difference learning, non-convex optimization, sample complexity, polynomial solutions to polynomial equations, genera, elliptic curves

General Mathematical Research and Multidisciplinary Events,    Applied Mathematics (in general)

Number Theory, Arithmetic,    Mathematical Physics

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

Courses and Events for Physics Students,    Number Theory, Arithmetic

Northwestern University

Microlocal Analysis and Quantum Dynamics 2024 is supported by the RTG “Dynamics: Classical, Modern, and Quantum”. The events are part of Northwestern’s 2023-2024 Emphasis Year, “Asymptotics in Geometry and Analysis: the Mathematics of Steve Zelditch”.

school and conference

Analysis,    Quantum Mechanics and Quantum Technology

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

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

Geometry and Topology,    Numerical Analysis and Computational Mathematics

Casa Matemática Oaxaca (CMO) in Mexico, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS)

Algebraic geometry is the field of mathematics which concerns the study of spaces cut out by polynomial equations. This workshop concern the interaction of two important objects in algebraic geometry - the K-groups and the Brauer group. In algebraic geometry, we study spaces via invariants - the procedure of attaching simpler, more "linear" objects to these spaces in the hope of extracting information about them. Both the K-groups and Brauer group are such examples which have had an excellent track record in being both powerful and accessible at the same time. Roughly speaking, the K-groups are built out from \emph{vector bundles} on such a space - a continuous assignment of vector spaces on each point of the space. On the other hand the Brauer groups are built from "twisted" vector bundles. Both invariants have had a history of interaction and cross-pollination and the goal of the workshop is to bring together researchers in both areas to share their research and pave the way for even more fruitful interaction in the future. We are particularly excited about the prospect of new, field-driving questions to come out from this workshop.

Algebra,    Group Theory

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

Analysis,    Algebra

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

Applied Mathematics (in general),    Condensed Matter Physics and Materials

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

Courses and Events for Physics Students,    Applied Mathematics (in general)

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

Courses and Events for Physics Students,    Meteorology and Climate Change

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

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.

Analysis,    Calculus, Differential Equations and Integration

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

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

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.

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

Scientific Computing and Data Science,    History and Philosophy of Science and Technology

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

Geometry and Topology,    Graph Theory and Combinatorics

Banach Center

Analysis,    Calculus, Differential Equations and Integration

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

Algebra,    Geometry and Topology

Hausdorff Research Institute for Mathematics (HIM)

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

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

Thermodynamics, Fluid Dynamics and Statistical Physics,    Information Theory, Foundations of Computer Science

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

Networks, Internet,    Complex Networks

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.

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

Hausdorff Research Institute for Mathematics (HIM)

Many physical processes in materials science or geophysics are characterised by inherently complex interactions on a multitude of inseparable scales in space and time. The resolution of all features on all scales in a computer simulation easily exceeds today's computing resources. Observation and prediction of physical phenomena therefore requires insightful computational multi-scale models and methods for adaptive selection of relevant scales and effective representation of unresolved scales. This workshop will discuss the latest algorithms and models for this purpose, as well as the mathematics behind them, which enable reliable and efficient numerical simulation of challenging multiscale problems in modern high-performance computing environments.

Follow-Up Workshop to TP "Multiscale Problems: Algorithms, Numerical Analysis and Computation"

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

Geometry and Topology,    Algebra

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

Graph Theory and Combinatorics,    Geometry and Topology

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

Geometry and Topology,    Analysis

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

Probability and Statistics, Game Theory,    Geometry and Topology

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.

Systems theory, Control and Automation,    Complex Systems, Chaos and Self-Organisation

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.

Analysis,    Information Theory, Foundations of Computer Science

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

Systems Biology and Computational Biology,    Epidemiology & Public Health

Hausdorff Research Institute for Mathematics (HIM)

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.

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

Algebra,    Group Theory

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

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

Algebra,    Analysis

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

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

Geometry and Topology,    Systems Biology and Computational Biology

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

Neural Networks and Artificial Intelligence, Machine Learning,    Implementation and Applications of Artificial Intelligence

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

Scientific Computing and Data Science,    Calculus, Differential Equations and Integration

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

Algebra,    Group Theory

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

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

Astronomy, Astrophysics and Cosmology,    Neural Networks and Artificial Intelligence, Machine Learning

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

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

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".

Algebra,    Geometry and Topology

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

Algebra,    Geometry and Topology

Isaac Newton Institute for Mathematical Sciences

Algebra,    Geometry and Topology

Isaac Newton Institute for Mathematical Sciences

Equivariant homotopy theory in context

Algebra,    Geometry and Topology

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.

Geometry and Topology,    Group Theory

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.

Geometry and Topology,    Group Theory