Meetings/Workshops on Algebra in Canada

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

The Fields Institute

Geometry and Topology,    Mathematical Physics

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

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

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

The Fields Institute

The primary goal of the conference is to celebrate R.V. Moody's lifetime desire to understand symmetry, a journey that has led him to produce breakthrough research in infinite dimensional Lie theory, Aperiodic Order and Pattern Theory. The biggest impact this conference will have will be as a result of bringing the areas of Algebra, Geometry and Aperiodic Order together, introducing each other to the open problems in the other's field, and exploring unexpected links to different areas of mathematics.

The Fields Institute

Analysis,    Calculus, Differential Equations and Integration

The Fields Institute

This is the 17th in the sequence of annual workshops traditionally held in the month of May at Nipissing University. Among our participants, we expect to have a number of prominent mathematicians from Canada, USA and abroad. The purpose of these workshops/seminars has been mainly to provide opportunities to researchers to learn a new area as well as opportunity to collaborate. As a result of these workshops there have been numerous collaborations dealing with problems in dimension theory, geometric topology, C*-algebras, set-theoretic topology, continuum theory and complex dynamics.

University of Waterloo

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

Courses and Events for Math Students and Early Career Researchers,    Group Theory

The Fields Institute for Research in Mathematical Sciences

Geometry and Topology,    Analysis

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

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

The Fields Institute

The field of homotopy theory originated in the study of topological spaces up to deformation, but has since been applied effectively in several other disciplines. Indeed, homotopical ideas lead to the resolution of several long-standing open conjectures, for instance on smooth structures on spheres, the moduli of curves, and the cohomology of fields. More recently, Bhatt, Morrow, and Scholze used homotopical methods to compare different cohomology theories for algebraic varieties, thereby resolving open questions in arithmetic geometry. In a similarly arithmetic vein, Galatius and Venkatesh initiated the study of Galois representations with homotopical means, whereas Clausen and Scholze revisited the foundations of analytic topology. These and other recent developments in the interface of arithmetic and topology opened up new lines of attack towards classical open questions, which sparked a wide range of current research activities. This conference intends to survey some of the most spectacular recent advances in the fields, thereby paving the way to new developments and future interactions. Our goal is to foster scientific exchange and collaboration between established researchers, emerging leaders, early career mathematicians, and graduate students.

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

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

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

Pacific Institute for the Mathematical Sciences

The two-week summer school will be valuable for students learning homotopy theory, symplectic geometry, and applications of Floer theory to low-dimensional topology. One goal of the summer school is to increase the number of researchers familiar with the techniques and problems in both modern homotopy theory and symplectic geometry, but the school will also be useful to students interested only in homotopy theory or only in Floer theory.

Mathematical Sciences Research Institute (MRSI)

The goal of the summer school is to provide participants the tools in symplectic geometry and stable homotopy theory required to work on Floer homotopy theory. Students will come away with a basic understanding of some of the key techniques, questions, and challenges in both of these fields. The summer school may be particularly valuable for participants with a solid understanding of one of the two fields who want to learn more about the other and the connections between them.

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

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

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

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

The Fields Institute

The goal of this workshop is to foster collaboration between experts in the domains of Lie theory, quantized enveloping algebras, and algebraic combinatorics.

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

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

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

The Fields Institute

The study of metric spaces with upper and lower sectional curvature bounds is a rich and well developed subject that goes back some 60+ years to the work of A.D. Alexandrov. It has a wide variety of applications and connections with various areas of geometry such as geometric group theory, classical Riemannian geometry of manifolds with various sectional curvature bounds, integral geometry and the study of spaces with lower Ricci bounds.

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

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

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

The Fields Institute

Structures having Ricci curvature bounded either from below and/or from above in some sense have been at the center of intense investigations in the last ten years, the reason being the deep effect at the geometric, analytic and probabilistic level that this sort of assumption carries. The study of such bounds and their geometric and analytic effects therefore attracts a constellation of mathematicians with a diverse set of skills and backgrounds. The conference aims at gathering specialists from different sectors to foster communication between various (sub)fields of research. We aim at covering the synthetic side of the story, the non-commutative one, the regularity of Ricci-limit spaces and geometric evolution problems.

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

The Fields Institute

This workshop will bring together those working in pure Borel combinatorics with those studying the ergodic theory, dynamics, and geometry of countable groups. Featured topics will include Gaboriau's theory of cost, Borel and measurable chromatic numbers, Borel matchings, and amenable and hyperfinite equivalence relations.

Queen's University, Kingston, Ontario

Structure of finite dimensional algebras Structure of module categories Auslander--Reiten components Homological methods in representation theory Homological conjectures Algebras of finite global dimension Self-injective algebras Tame algebras Combinatorial aspects of representation theory Geometry of algebras and modules Homological invariants of algebras and modules Triangulated categories and tilting theory Relations of the above topics with Lie theory, Singularity theory, Cohen--Macaulay modules, quantum groups and other algebraic structures.