Meetings/Workshops on Algebra in Canada

The Fields Institute for Research in Mathematical Sciences

Supergeometry was originally developed as a unifying language describing bosonic and fermionic degrees of freedom and particularly supersymmetry. In the last decades, supergeometric language has merged with methods coming from homological and homotopical algebra, with the concept of Q-manifolds coming to the fore.

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

Recently, the study of Hénon maps has undergone new exciting developments, like the recent proof of the existence of wandering domain for complex Hénon maps. This result was achieved by mixing techniques from different parts of dynamics, namely real and complex. In this workshop we intend to pursue this trend by bringing together experts on real, complex and non-archimedean dynamics to get new perspectives in the study of Hénon maps.

The Fields Institute for Research in Mathematical Sciences

The focal point of circle packing theory is the Koebe-Andre'ev-Thurston Theorem that gives conditions that guarantee the existence and rigidity of circle packings on closed surfaces in the pattern of a given triangulation of the surface. The theorem was discovered by Bill Thurston in the late seventies and represents a rediscovery and broad generalization of a theorem of Paul Koebe from 1936, and has an interpretation that recovers a characterization of certain three-dimensional hyperbolic polyhedra due to Andre'ev from 1971. Since Thurston'e 1985 Purdue talk that showed how to use the theorem to build a scheme for approximating the Riemann mapping of a simply connected proper domain in the plane to the unit disk, the theory of circle packing has enjoyed enormous development and has found both theoretical and practical applications in a wide variety of venues. This workshop will bring together experts from a wide variety of backgrounds who have an interest in packings.

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

One of the most fundamental notions when studying functions of a real variable is the rate of change of a function, as measured by its derivative. Geometrically, the derivative is the slope of the tangent line. Both the notion of the derivative and the tangent line (or more generally, the tangent bundle of a smooth manifold) can be defined purely axiomatically because of the underlying structure of the category of smooth functions. The derivative, for example, is determined by its properties (such as the sum and product formulae for differentiation, the chain rule, etc.). This structural approach to the derivative leads to the notion of a differential category. When working with models of differential categories such as smooth functions, the listed properties seem like natural consequence of the model. On the contrary, the differential category structure shows that these properties determine the structure of the derivative, rather than the other way around.

The Fields Institute for Research in Mathematical Sciences

Distance geometry is a research area bridging mathematics and computer science with applicability to practical problems in a wide range of disciplines. In the majority of the applications, we are given an incomplete list of distances between pairs of objects, and we seek positions in Euclidean space realizing those distances. Classical applications include topics as protein conformation determination and sensor network localization, while emerging applications range from the study of molecular nanostructure to the adaptation of human movements in simulated environments. Distance geometry is also used in important data science applications such as compressed sensing, low rank matrix completion, and visualization of high-dimensional data.

Geometry and Topology,    Scientific Computing

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

The aim of this workshop is to bring together experts on many developing perspectives on knot homology (physical, geometric and algebraic) to draw connections between them, and to explore applications.

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

The Fields Institute for Research in Mathematical Sciences

Analysis,    Calculus, Differential Equations and Integration

The Fields Institute for Research in Mathematical Sciences

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.

The Fields Institute for Research in Mathematical Sciences

WCLAM 2020 will be the 15th in a series of biennial meetings that have been held at various sites throughout Western Canada and the USA. The main objective of this meeting is to bring together researchers from across Western Canada and beyond with a focus on various areas within linear algebra and related fields. Graduate students, postdoctoral researchers, and early career faculty members are particularly encouraged to participate.

The Fields Institute for Research in Mathematical Sciences

The summer school will feature three lecture series covering diverse aspects of operator algebras and their applications.

The Fields Institute for Research in Mathematical Sciences

The Fields Institute for Research in Mathematical Sciences

Geometry and Topology,    Algorithms and Data Structues

The Fields Institute for Research in Mathematical Sciences

Spec(Q) is the first conference to celebrate and promote research advances of LGBT2Q mathematicians specialising in algebraic geometry, arithmetic geometry, commutative algebra, and number theory. This conference capitalises on recent thematic program successes in algebraic geometry at Fields

Geometry and Topology,    Number Theory, Arithmetic

The Fields Institute for Research in Mathematical Sciences

The purpose of the conference is to bring together experts from across automorphic forms, representation theory, and arithmetic connected to the theory of theta series and the theta correspondence in order to survey the most recent developments and to open up future courses of investigation.

The Fields Institute for Research in Mathematical Sciences

The Séminaire de Mathématiques Supérieures (SMS) will be at its 60th anniversary edition in 2021. One of the most well-known summer schools in mathematics in the world, the SMS has the Centre de Recherches Mathématiques (Montreal), the Fields Institute for Research in Mathematical Sciences (Toronto), the Pacific Institute for the Mathematical Sciences (PIMS), and the Mathematical Sciences Research Institute (Berkeley) as its main partners since 2010. It is also supported by the Institut des Sciences Mathématiques (Montreal), the University of Montreal and the Canadian Mathematical Society. The general format of the SMS is a two-week long summer school consisting of approximately twelve mini-courses. The 2021 school on Periodic and Ergodic Spectral Problems will focus on the spectral theory of periodic, almost-periodic, and random operators. The interplay among these topics, which are of fundamental importance in several areas of mathematics and mathematical physics, has become especially active in recent years. The main goal of the school is to teach the participants different methods that are being used in the periodic, almost-periodic and random settings, explain the similarities among them, and show the "big picture".

The Fields Institute for Research in Mathematical Sciences

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

Algebraic dynamics is the study of discrete dynamical systems on algebraic varieties. It has its origins in complex dynamics, where one studies self-maps of complex varieties, and now encompasses dynamical systems defined over global fields. In recent years, researchers have fruitfully investigated the latter by applying number-theoretic techniques, particularly those of Diophantine approximation and geometry, subfields which study the metric and geometric behavior of rational or algebraic points of a variety.

Courses and Events for Math Students and Early Career Researchers,    Modeling and Simulation

The Fields Institute for Research in Mathematical Sciences

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

The Fields Institute for Research in Mathematical Sciences

Quantum mechanics has led to some revolutionary changes in computing and information processing. Over the past decades, there has been a surge of research, mostly by physicists and computer scientists, on how quantum computers could outperform their classical counterparts. It is becoming apparent, however, that many of the problems considered have mathematical aspects, and a number of questions in combinatorics are arising as the field of quantum information theory matures. The goal of this workshop is to foster cross-collaboration among mathematicians, physicists and computer scientists, in order to explore the deep connections between quantum information and algebraic graph theory.

Graph Theory and Combinatorics,    Quantum Mechanics and Quantum Information Theory

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

Irregular growth is a ubiquitous phenomenon in nature, from the growth of tumors, crystals, and bacterial colonies to the propagation of forest fires and the spread of water through a porous medium. Mathematical models of random growth have been a driving force in probability theory over the last sixty years and a rich source of important ideas. The analysis of random growth models began in the early 1960s with the introduction of the Eden model by Eden and first-passage percolation by Hammersley and Welsh. The field witnessed several breakthroughs in the 1980s and 1990s, from the introduction of more random growth models, including the Kardar, Parisi, and Zhang (KPZ) equation and the KPZ universality class, to the ground-breaking works of Tracy and Widom and of Baik, Deift, and Johansson, and the seminal works of Newman and coauthors. These results caused a flurry of activity and more analytical and geometrical tools were developed.

The Fields Institute for Research in Mathematical Sciences

Scheduled as part of the Thematic Program on Trends in Pure and Applied Model Theory

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

The Fields Institute for Research in Mathematical Sciences

Scheduled as part of the Thematic Program on Trends in Pure and Applied Model Theory

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

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

Nonlinear inverse problems are ubiquitous in medical sciences, engineering, physics and other natural sciences. This workshop will advance a statistical paradigm that allows underpinning statistical decision making in such problems in a scientifically rigorous way. This will be achieved by providing `frequentist' large sample guarantees for inferences arising from commonly used (Bayesian or non-Bayesian) algorithms in such problems. Thereby, a large cluster of applied problems, where algorithms are used for day-to-day decision making with statistical data, will be put on a solid and robust foundation, facilitating its confident use in modern society.

Courses and Events for Math Students and Early Career Researchers,    Probability and Statistics, Game Theory

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

The Functoriality conjectures, formulated by Langlands in 1967, have been a driving force behind much of the work in both Number theory and Representation theory in the last 50 years. This workshop will explore a relatively new approach to the conjectures stemming from Langlands' recent proposal called ``Beyond Endoscopy''. This proposal has since blossomed in the work of many mathematicians and has produced very interesting recent results in several areas of mathematics from algebraic geometry through representation theory to analytic number theory.

Courses and Events for Math Students and Early Career Researchers,    Number Theory, Arithmetic

The Fields Institute for Research in Mathematical Sciences

Scheduled as part of the Thematic Program on Trends in Pure and Applied Model Theory

Graph Theory and Combinatorics,    Courses and Events for Math Students and Early Career Researchers

The Fields Institute for Research in Mathematical Sciences

Graph Theory and Combinatorics,    Courses and Events for Math Students and Early Career Researchers

The Fields Institute for Research in Mathematical Sciences

Scheduled as part of the Thematic Program on Tame Geometry, Transseries and Applications to Analysis and Geometry

Geometry and Topology,    Analysis

The Fields Institute for Research in Mathematical Sciences

Geometry and Topology,    Analysis