Conférences - Calcul infinitésimal, équations différentielles et intégrales - Canada

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.

Algèbre,    Analyse

The main purpose of this workshop is to share high quality information related to the contemporary research in the fields of partial differential equations, dispersive equations and geometric flows, with the objective of working on common research problems and favoring the formation of students and young researchers.

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

Partial differential equations arise ubiquitously as laws of physics and other mathematical models across the scientific and engineering disciplines. The solutions to these equations describe the behavior of the systems modeled by the equations, but very often the solutions are too complicated to be found exactly. As an example from one of many disciplines, equations governing the flow of liquids or gases can be simple to write down, but solutions corresponding to extremely intricate turbulent motions of the fluids are impossible to find. One approach in such cases is to use powerful computers to approximate single solutions. A second complementary approach is to seek mathematical statements that give only partial information about solutions but that apply broadly to all possible solutions. This Focused Research Group aims to improve and apply methods that take the latter approach. This will be done by using recently developed tools from the field of optimization to solve research questions in the field of partial differential equations. This requires bringing together researchers in both of these largely separate mathematical disciplines, which is made possible by the BIRS Focused Research Group program.

This workshop will bring together mathematicians with expertise spanning the theoretical, numerical, discrete and computational geometry and partial differential equations (PDEs) and computer scientists with related interests to identify and discuss some of the most promising areas for advances in the understanding and application in geometric data analysis.

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.