Dynamics and geometry on surfaces

• Grant number: 20/06978-6
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: January 01, 2021
• End date: December 11, 2024
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: André Salles de Carvalho
• Grantee: Luciana Menezes Vasconcelos
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 16/25053-8 - Dynamics and geometry in low dimensions, AP.TEM
• Associated scholarship(s): 22/05984-8 - Dynamics and geometry on surfaces, BE.EP.DR

Abstract

The present project proposes to study the relationship between the dynamics of a new class of surface homeomorphisms, the measurable pseudo-Anosov transformations introduced in [BdCH], and the geometric and smooth structures induced by them on the underlying surfaces. (AU)