Centers of mass of convex bodies (24rit025)

The Banff International Research Station will host the "Centers of mass of convex bodies" Research in Teams workshop in Banff from August 18 - 25, 2024.

First systematic studies of centers of mass (also known as centers of gravity or centroids) of solids go back to Archimedes. Since then, centroids have found numerous applications in different disciplines such as mathematics, physics, engineering, astronomy, architecture, and others. This Research in Teams aims to investigate the properties of the centroids relative to different measurements of convex bodies (such as width, diameter, etc.) and their connection with other special points of convex bodies (such as centroids of the body surface, Santal\'o point, centers of inscribed and circumscribed spheres, etc.).

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), and Alberta's Advanced Education and Technology.