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Dynamics and geometry on surfaces

Grant number: 20/06978-6
Support type:Scholarships in Brazil - Doctorate
Effective date (Start): January 01, 2021
Effective date (End): February 29, 2024
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal researcher:André Salles de Carvalho
Grantee:Luciana Menezes Vasconcelos
Home 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

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.

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