Abstract
The project proposes the study of several problems in the area of Riemannian isopeimetry, including a celebrated conjecture by T. Aubin on an isoperimetric inequality of Euclidean type for Hadamard manifolds.
Universidade de São Paulo (USP). Instituto de Matemática e Estatística (IME) (Institutional affiliation from the last research proposal) Birthplace: Colômbia
graduation at Licenciatura en Matemáticas y Física from Universidad Tecnológica de Pereira (2005), master's at Maestria en Enseñanza de la Matematica from Universidad Tecnológica de Pereira (2008) and doctorate at Mathematics from Universidade Federal do Rio de Janeiro (2017). Has experience in Mathematics, focusing on Mathematics, acting on the following subjects: sobolev?s inequalities on manifolds, isoperimetric comparison, bounded geometry, aubin-cartan-hadamard?s conjecture and geometric measure theory. Post-doctor at Universidade de São Paulo (2018) (Source: Lattes Curriculum)
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The project proposes the study of several problems in the area of Riemannian isopeimetry, including a celebrated conjecture by T. Aubin on an isoperimetric inequality of Euclidean type for Hadamard manifolds.
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