Meetings/Workshops on Geometry and Topology in Canada
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5 Day Workshop at BIRS — Analysis and Geometry of Metric Spaces - a Bridge between Smooth and Fractal Views
05 Apr 2020 - 10 Apr 2020 • Banff, Alberta, Canada
The notion of fractals was introduced by Mandelbrot as new models of the shapes of objects in nature like the coastline, trees and the surface of rocks, which can not be represented by combinations of smooth objects such as lines, rectangles, circles and spheres. Since there happens natural phenomena such as waves and heat diffusions on those objects modeled by fractals, we need to develop the theory to treat such natural phenomena on fractals, which are included in the category of metric spaces. This direction of study is called analysis and geometry on metric spaces. In this area of research, there have been two groups, one has tried to extend the existing theory for smooth spaces and the other has tried to use the complicated structure of the object itself. These two groups have been working separately for more than 20 years and both have obtained fruitful results. However, recently, evidences of strong connection between those two approaches. So the main purpose of this workshop is to gather people from both sides, to promote interaction and to create a common ground for deeper study in this area.
5 Day Workshop at BIRS — Connections in Infinite Dimensional Dynamics
17 May 2020 - 22 May 2020 • Banff, Alberta, 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.
Workshop on Special Geometries on Riemannian Manifolds
18 May 2020 - 22 May 2020 • Montreal, Quebec, Canada
This is a 5-day workshop to be held at UQAM in Montreal, focusing on special geometric structures in Riemannian geometry.
Spring Graduate School on Polyhedral Products in Geometric Group Theory
20 May 2020 - 22 May 2020 • Montreal, Canada
Two mini-courses will be given by experts in Geometric Group Theory. These are designed to give graduate students and early career researchers a research level perspective on how and why Polyhedral Products appear in Geometric Group Theory, thereby enabling the participants to engage fully in the workshop that immediately follows.
Workshop on Polyhedral Products in Geometric Group Theory
25 May 2020 - 29 May 2020 • Montreal, Canada
Two special cases of the polyhedral product construction have been immensely influential in geometric group theory, giving rise to at least three major families of examples of groups parametrized by flag simplicial complexes: right-angled Coxeter groups associated with the polyhedral product for pairs (,*); right-angled Artin groups associated with the polyhedral product for pairs (,*); and Bestvina-Brady groups associated with a covering space of the polyhedral product for pairs (,*). However, the interaction between toric topology and geometric group theory is largely unexplored. The purpose of this workshop is to significantly increase synergies between the two groups and establish a framework for approaching common problems and methods in a more global context.
Interactions of gauge theory with contact and symplectic topology in dimensions 3 and 4
07 Jun 2020 - 12 Jun 2020 • Banff, Canada
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.
5 Day Workshop at BIRS — Moving Frames and their Modern Applications
05 Jul 2020 - 10 Jul 2020 • Banff, Alberta, Canada
Originally introduced by Martin Bartels in the early nineteenth century, and then extensively developed by Élie Cartan in the first half of the twentieth century, the method of moving frames is a powerful tool for studying the geometry of curves, surfaces, and, more generally, submanifolds under the action of a group of transformations. In 1999, a new and more general formulation of moving frame was introduced by Fels and Olver which led to a dramatic resurgence of interest in the method accompanied by a striking extension of the range of applications. The workshop will bring together a diverse group of experts with the goal of exploring existing and emerging applications of the moving frame method to differential equations and integrable systems in physics, to computer vision and object recognition, medical imaging, broken object reconstruction, discrete and differential-difference equations, geometric numerical integration, and much more.
CCCG 2020 — 32nd Canadian Conference on Computational Geometry
05 Aug 2020 - 07 Aug 2020 • University of Saskatchewan, Saskatoon, Canada
University of Saskatchewan
The Canadian Conference on Computational Geometry (CCCG) is a forum to disseminate and discuss new theoretical and applied results in discrete and computational geometry. CCCG focuses on the design of efficient algorithms, the development of software, and the study of the mathematical foundations of computational problems whose formulations involve geometric constraints. The field of computational geometry is motivated by problems from a broad range of application areas, as diverse as computer graphics and animation, computer vision, computer-aided design and manufacturing, geographic information systems, pattern recognition, wireless communications, robotics, protein folding, urban planning, graph drawing, or statistical analysis.
5 Day Workshop at BIRS — Derived, Birational, and Categorical Algebraic Geometry
01 Nov 2020 - 06 Nov 2020 • Banff, Alberta, Canada
Birational geometry is a classical mathematic subject dating back to the late 1800s. It aims to classify geometric shapes by looking at the majority of their points and asks "if I remove some points from shape A and some other points from shape B, do they become the same shape?". This turns out to be a surprisingly difficult and fundamental mathematical question. Perhaps more surprising is that the classification of geometric shapes from birational geometry is related to the classification of abstract mathematical gadgets called derived categories, a formal language developed by prominent mathematicians in France in the 1960s. However, the relationship between derived categories and birational geometry remains unproven.
5 Day Workshop at BIRS — Topology and Entanglement in Many-Body Systems
29 Nov 2020 - 04 Dec 2020 • Banff, Alberta, Canada
The possibility of using quantum mechanics to build computers that are both faster and more secure is an exciting technological leap. One of the most promising pathways to a robust architecture, referred to as topological quantum computing, has lead to fascinating research at the frontier of mathematics and physics. Properties of new, exotic states of matter can be understood - and hence implemented in practice - using tools that were developed by pure mathematicians in connection to surfaces and their curvature. This workshop is bringing together international experts to explore the intimate connections between such topological properties of quantum matter and the key resource of quantum computing: entanglement.
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Last updated: 16 March 2020