Infinite Dimensional Geometry and Fluids (23w5020)


(Florida State University)

(University of Toronto)

(Chalmers University of Technology / University of Gothenburg)

(Brooklyn College)

Cornelia Vizman (West University of Timisoara)


The Banff International Research Station will host the "Infinite dimensional Geometry and Fluids" workshop in Banff from November 5 to November 10, 2023.

The Banff International Research Station will host a diverse, international group of mathematicians in 2023 to study geometric approaches to fluids and optimal transport. The ideas of geodesic settings for fluids have been circulating since the late 1960s, but received a strong surge lately, in the last 5-10 years, with the development of new techniques in infinite-dimensional geometry and group theory. The original idea is that the particles in an ideal liquid or gas move in a curved infinite-dimensional space, in the same way as an airplane flying around the earth: along the shortest path. Properties of the fluid, such as how well it can be predicted in the future, how well it mixes together, and how extreme the speed can be, can all be related to how curved this infinite-dimensional space is, which helps us understand features of the weather and climate geometrically. More recently similar ideas have been used to understand solids as well, for example when a pile of rocks are transported from one place to another at the optimal cost.

The one-week workshop will feature award-winning mathematicians such as Dennis Sullivan from New York, Yann Brenier from Paris, Susan Friedlander from Los Angeles, Camillo De Lellis from Princeton, Vladimir Sverak of Minneapolis, Peter Michor of Vienna, and many other prominent mathematicians from around the world, as well as students and postdoctoral researchers. It will be one of the first in-person workshops in the field since the COVID-19 pandemic, and its participants are eager to share ideas and learn from each other.

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnología (CONACYT).