The cohomology of left-invariant Cr structures of maximal rank on compact Lie groups

• Grant number: 19/22981-0
• Support type: Scholarships abroad - Research Internship - Post-doctor
• Effective date (Start): January 13, 2020
• Effective date (End): January 12, 2021
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal researcher: Jorge Guillermo Hounie
• Grantee: Max Reinhold Jahnke
• Supervisor abroad: Howard Jacobowitz
• Home Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
• Research place: Rutgers The State University of New Jersey, Camden, United States
• Associated to the scholarship: 19/09967-8 - Solvability and Regularity for Some Classes of PDEs, BP.PD

Abstract

Jean-Yves Charbonnel and Hella Ounaïes Khalgui classified all left-invariant CR structures of maximal rank on compact Lie groups. The goal of this project is to understand what are the analytical and geometrical consequences of this algebraic classification in the study of the differential complex associated to these involutive structures. (AU)