Hugo Luiz Mariano in research grants and scholarships supported by FAPESP.
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In this work, we will study Model Theory from a algebro-geometric approach, that is to say, we will search the literature for the historical use of techniques analogous to schemes in the context of Categorial Model Theory. Centrally, the project will cover Steve Breiner's Ph.D thesis and related articles. Aiming at this, we firstly intend to insert the student in the context of Categorica…
This master's project in mathematics has the aim of deepening the student's contact with algebraic geometry - already developed at the level of scientific initiation - through the study of motivic cohomology and A1-homotopy theory, which were introduced mainly by V. Voevodsky, F. Morel, S. Bloch, and A. Suslin. These areas formed the basis for the proofs of Milnor conjecture (Voevodsky, 1…
In the context of the infinite Galois theory over a base field, some questions are well answered having available an infinite extension of this, for example, the absolute Galois group of a field $F$, $Gal(F^s|F)$, where $F^s$ denotes a separable closure of $F$.However, in that broad setting, we must pay the price of having to introduce topological notions (the bijective correspondence is …
| 1 / 1 | Ongoing scholarships in Brazil |
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