Meetings/Workshops on Algebra in Canada

Changes in dynamics define many of the important phenomena we see around us, such as the passage from normal heart beat to arrhythmia, the collapse of the stock market, and the shedding of vortices from airplane wings. Mathematically such dynamic transitions are modelled by connections in nonlinear dynamical systems, mainly in the form of ordinary differential equations, partial differential equations and delay differential equations. This workshop focuses on combining computational techniques with abstract mathematics to improve our fundamental understanding of transitions in dynamical systems.

This is a 5-day workshop to be held at UQAM in Montreal, focusing on special geometric structures in Riemannian geometry.

The Fields Institute

The eighth edition of ARTA will present recent research developments in tilting and \tau-tilting theory, torsion theory, combinatorial methods in representation theory, geometric representation theory, module categories and self-injective algebras, homological methods in representation theory, triangulated categories, derived categories and relationship with cluster algebras. We will also explore the deep links with other closely related areas such as Lie theory and geometry, as well as possibly new research directions that would appear between now and the conference.

The goals of this workshop include bringing together researchers who work with actual modelers and modeling problems and researchers working more on the theoretical side. This will stimulate interactions resulting in the emergence of new and significant improvement in existing applications of differential algebra, applied algebraic geometry, and model theory to modeling.

Analysis,    Calculus, Differential Equations and Integration

Banff International Research Station

The Banff International Research Station will host the "Interactions of gauge theory with contact and symplectic topology in dimensions 3 and 4" workshop in Banff from June 7 to June 12, 2020. This workshop will highlight new results in low-dimensional topology coming from a wide range of geometric methods. Low-dimensional topology studies the global properties of geometric spaces in dimensions 3 and 4, such as 3-dimensional space and 4-dimensional space-time.

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.

This will be a twinnd conference held simultaneously at Perimeter Institute in Waterloo, Canada and Max Planck Institute in Bonn, Germany. The two venues will be connected by live video streams, during both the talks themselves as well as informal discussion sessions. The concept of the twinned conference is motivated by the desire to reduce environmental impact of conference travels. Our hope is that this initiative will help reduce transatlantic flights, while still promoting long distance interactions.

Banff International Research Station for Mathematical Innovation and Discovery

An equation is called Diophantine if whole number or fractional solutions are sought. Diophantine equations are named after Diophantus of Alexandria, a 3rd century mathematician and were popularized by Pierre de Fermat, a 17th century lawyer and amateur mathematician. Unlike most branches of mathematics, many Diophantine questions and theorems can be understood and appreciated by the general public, and the subject is a favourite with popularizers of mathematics. The methods for tackling Diophantine equations are however deep and varied, and the subject has recently experienced an explosion of new directions and results. This workshop will bring together experts and young scholars to explore these new directions and stimulate further research into Diophantine problems.

The field of algebraic dynamics has emerged over the past two decades at the confluence of algebraic geometry, discrete dynamical systems, and diophantine geometry. In recent work, striking connections have been observed between algebraic dynamics and much older theories of difference and differential equations. This meeting brings together mathematicians with expertise in such diverse fields as ring theory, complex dynamics, differential and difference algebra, combinatorics and algebraic geometry. New work towards the dynamical Mordell-Lang and dense orbit conjectures as well as theorems on hypertranscendence and functional independence proven by connecting difference Galois theory, algebraic dynamics and other algebraic approaches to the study offunctional equations will be presented at this meeting.