Abstract
This project studies geometric and topological properties of homogeneous spaces with an emphasis on generalized flag manifolds of noncompact semi-simple Lie groups.
Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica (IMECC) (Institutional affiliation from the last research proposal) Birthplace: Brazil
BS in Mathematics from Unicamp (2006), Master in Mathematics from Unicamp (2008) with emphasis on Algebra and PhD in Mathematics from Unicamp (2012) with emphasis on Lie Theory. He is currently professor at the Federal University of Juiz de Fora (UFJF). (Source: Lattes Curriculum)
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This project studies geometric and topological properties of homogeneous spaces with an emphasis on generalized flag manifolds of noncompact semi-simple Lie groups.
Using methods from Combinatorial Group Theory, as for example, HNN extensions and associated trees, to apply the Meinert criteria in order to study the Homological properties of the Richard Thompson Group G which has interesting characterists as to have homological type FP_infinity i.e. the trivial Z[G]-module Z has a free resolution with all modules in the resolution being finitely gener…
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