CMS Special Session: Noncommutative Geometry and Topology

Noncommutative geometry is a generalization of classical geometry that provides new mathematical tools for both mathematical problems and physical models by allowing for geometric spaces and spacetimes whose coordinates no longer necessarily commute. For example, the functional-analytic approach to noncommutative geometry, as championed most famously by Alain Connes, has been successfully applied both to solve major problems in foliation theory and to obtain a complete mathematical model of the integer quantum Hall effect in condensed matter physics. This session aims to represent a broad cross-section of current research in noncommutative geometry and topology—the Elliott classification programme, noncommutative index theory, noncommutative differential and Riemannian geometry—with a particular emphasis on the work of graduate students, postdoctoral researchers, and early career researchers.