Ergodic theory of homogeneous flows

• Grant number: 16/01411-2
• Support Opportunities: Scholarships in Brazil - Master
• Start date: June 01, 2016
• End date: February 28, 2018
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Daniel Smania Brandão
• Grantee: Thiago Rodrigo Ramos
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

This project introduces the student to the ergodic theory of homogeneous flows, and in particular the Ratner's Theorems for unipotent flows. We will also study the connections of this theory with other areas of Mathematics, as Number Theory (Oppenheim's Conjecture) and Geometry (ergodic theory of geodesic flows on constant negative curvature surfaces)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

RAMOS, Thiago Rodrigo. Ergodic theory on homogeneous flows and Ratners theorems. 2018. Master's Dissertation - Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) São Carlos.