Graduated in Physics from the Institute of Physics of São Carlos (IFSC-USP), the student completed a master's degree at the Institute of Mathematical and Computer Sciences (ICMC-USP) in the area of differential geometry. Currently, He's a PhD student in physics at the Fresnel Institute, working on geometric information theory and its applications in light polarization. I have experience in Ricci flow on surfaces, information geometry, and real hyperbolic geometry. (Source: Lattes Curriculum)
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The main goal is to introduce the central aspects of Information Geometry and its major tools. At the same time, we expect to analyze these tools in the context of some classic geometries (hyperbolic, Fubini-Study, de Sitter, anti-de Sitter) and to explore the role of Information Geometry in such environment. Finally, we expect the applicant to understand some important applications of in…
The main goal of the project is to introduce the normalized Ricci flow on compact surfaces. In particular, we expect the student to become acquainted with the technique of evolving metrics on smooth manifolds through partial differential equations and to appreciate the strength of such method (which is a central one in modern geometry). As a final result, the student should present a proo…
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