Representations of compact Lie groups and their orbit spaces

• Grant number: 25/13518-5
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: August 01, 2025
• End date: July 31, 2029
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Claudio Gorodski
• Grantee: Fernando Lima Kneipp
• 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

This project aims to introduce the student to metric geometry of orbit spaces, as well as techniques to describe interesting examples. In particular, we intend to study reductions of representations of compact simple Lie groups, and irreducible representations of compact semisimple Lie groups with non-empty boundary in the orbit space.Open in Google Translate*FeedbackGoogle TranslateGoogle Translatehttps://translate.google.comGoogle's service, offered free of charge, instantly translates words, phrases, and web pages between English and over 100 other languages.