Galois Theory, profinite groups and applications in quadratic forms
Algebraic and geometric fundamentals of geometrically uniform codes
Grant number: | 22/01885-5 |
Support Opportunities: | Scholarships in Brazil - Master |
Effective date (Start): | April 01, 2022 |
Effective date (End): | March 31, 2024 |
Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Algebra |
Principal Investigator: | Tiago Jardim da Fonseca |
Grantee: | Nelson Prata Pravato Serrano |
Host Institution: | Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil |
Associated research grant: | 20/15804-1 - Periods and algebraicity, AP.JP |
Abstract This project is devoted to an in-depth study of the étale fundamental group of an algebraic variety, and to some of its applications. In particular, we shall study the surprising Belyi theorem, which characterises algebraic curves defined over number fields as finite coverings of the complex projective line ramified at three points. | |
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