CV Lattes
Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC) (Institutional affiliation from the last research proposal) Birthplace: Peru
graduation at Matemática from Universidade Nacional Mayor de San Marcos (2008), master's at Mathematics from Universidade de São Paulo (2012) and doctorate at Mathematics from Universidade de São Paulo (2016). (Source: Lattes Curriculum)
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The theory introduced by Fock-Goncharov, called Higher Teichmüller Theory (HTT), is a huge generalization of the classical Teichmüller theory. It has as main ingredients a compact oriented surface S and a semisimple algebraic group G. The HTT provides a description of the space of the so called positive representations of the fundamental group of the surface S into G, showing that these a…
Since the inventions of cluster algebras (2001) by S. Fomin and A.Zelevinsky, motivated for the study of dual canonical bases and total positivity in semisimple groups, relations with Poisson geometry and Integrable systems were developed. The notion of Poisson bracket compatible with a cluster structure, introduced by M.Gekhtman, M.Shapiro and A.Vainshtein, was used to interpret cluster …
| 1 / 1 | Completed scholarships in Brazil |
| 1 / 1 | Completed scholarships abroad |
| 2 / 2 | All Scholarships |
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