Analysis, Geometry and Stochastics
on Metric Spaces

Aim

Whereas beforehand analysis, geometry and stochastics have co-existed rather apart for centuries, the last decades have seen that passing from smooth to non-smooth objects as well as considering phenomena on singular and/or high-dimensional non-linear spaces allowed for manifold new bridges and astonishing relations between these disciplines. Thus analysis, geometry and stochastics on metric spaces is nowadays an active and independent field, bringing together researchers from very different parts of the mathematical spectrum, with far-reaching applications to areas as diverse as geometric group theory, nonlinear PDEs, and even theoretical computer and data science. The symposium was originally planned as part of a HeKKSaGOn meeting continued directly afterwards at Tohoku University from September 9-11, 2021, inside the assembly of Heidelberg, Karlsruhe, Kyoto, Osaka, Tohoku and G”ottingen universities. It was postponed for two years due to COVID-19.