Tube type structures on compact Lie groups

• Grant number: 23/07703-9
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: October 01, 2023
• Status: Discontinued
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Paulo Leandro Dattori da Silva
• Grantee: Fernanda Martins Simão
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated research grant: 18/14316-3 - Geometric theory of PDE and multidimensional complex analysis, AP.TEM
• Associated scholarship(s): 24/21562-1 - Global properties of systems of vector fields on compact Lie groups, BE.EP.DR

Abstract

This project deals with the global solvability and global hypoellipticity of operators given by tube-type structures defined on product manifolds of the form MxG, where M is a smooth compact manifold and G is a compact Lie group. This project also forecast the approach of this subject both in the context of functions of class C^\infty, and in the context of ultradifferentiable functions (Gevrey classes, or even Denjoy-Calerman).