CORDIS Project
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This project explores rational solutions to Diophantine equations, focusing on a specific type called zero-cycles. By employing local-global techniques, it aims to enhance the theory surrounding these solutions and foster new research directions in number theory.
The study of rational solutions to Diophantine equations is an important research area in number theory, with many concrete applications in different disciplines, including cryptography.
The candidate's proposed work aims at investigating, via ""local-global"" techniques, the arithmetic behaviour of certain generalisations of rational solutions to Diophantine problems, called ""zero-cycles"".
The goal is to systematically develop the theory of these generalised solutions in order to open it up…
INSTITUTE OF SCIENCE AND TECHNOLOGY AUSTRIA
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