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Fundamental Groups in Algebraic Geometry

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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