Orbit spaces, leaf spaces and minimal hypersurfaces in symmetric spaces

• Grant number: 25/13237-6
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: November 09, 2025
• End date: November 21, 2025
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Claudio Gorodski
• Grantee: Claudio Gorodski
• Visiting researcher: Ricardo Augusto Emmanuel Mendes
• Visiting researcher institution: University Of Oklahoma, Campus Norman/Ou, United States
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 22/16097-2 - Modern methods in differential geometry and geometric analysis, AP.TEM

Abstract

Two of the projecs focus on aspects of orbit spaces of isometric actions of groups oncertain Riemannian manifolds, or, more generally, leaf spaces of singular Riemannian foliations. More specifically, we propose to study their diameter and a model for them as anexplicit semi-algebraic set.The third project is on the Morse index of minimal hypersurfaces in symmetric spaces, and aims to establish relations betweentheir index and topology. (AU)