Systolic and Diastolic Geometry - Capacities of Disc Tangent Bundles of Symmetric R-Spaces

Watch a 59-minute lecture titled "Capacities of Disc Tangent Bundles of Symmetric R-Spaces" delivered by Johanna Bimmermann from Bochum as part of the "Systolic and Diastolic Geometry" event organized by the Instituto de Matemática Pura e Aplicada (IMPA) in Rio de Janeiro. The lecture explores geometric problems comparing volume of spaces with lengths/areas of curves/surfaces they contain, focusing specifically on disc tangent bundles of symmetric R-spaces. This presentation was part of a larger conference featuring international speakers addressing topics in geometric analysis and symplectic geometry, including systolic inequalities, minimal surfaces, and spectral optimization. The event brought together specialists from different mathematical backgrounds to advance research on fundamental problems in Geometric Analysis and Symplectic Geometry through innovative techniques inspired by analogies between these problems.