CV Lattes
Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica (IMECC) (Institutional affiliation from the last research proposal) Birthplace: Brazil
graduation at Licenciatura em Matemática from Universidade Estadual de Campinas (2008), master's at Mathematics from Universidade Estadual de Campinas (2011) and doctorate at Mathematics from Universidade Estadual de Campinas (2015). (Source: Lattes Curriculum)
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We plan to classify and study the structure of certain modules for quantum affine algebras. Namely, we will study the graded limits of certain modules related to minimal affinizations from the point of view of Demazure modules and their generalizations. Furthermore, we will address the classification of finite-dimensional tame modules when the undelrlying simple Lie algebra is of type B.
The project for the Masters studies of the student Matheus Brito aims at providing him with a solid basis in the area of representations of algebras, specially quiver representations, with a view towards the study of cluster algebras. In particular, the student should study the relation of cluster algebras with Ovsienko s generalization , for quivers with relations, of Gabriel s Theorem.
We plan to study the structure of certain graded modules for current algebras over simple Lie algebras of type G2 and D4. These modules are closely related to the concept of minimal affiniziations of quantum groups. In particular, we plan to prove a conjecture of the advisor of the project that, when applied to algebras of type G2, states that these modules are isomorphic to the classical…
| 3 / 2 | Completed scholarships in Brazil |
| 1 / 1 | Completed scholarships abroad |
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