CORDIS Project
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This project explores Homogeneous Dynamics, focusing on the diagonal group's behavior in lattice spaces. It aims to address significant open problems in number theory and Diophantine approximation through innovative mathematical strategies.
We present a large variety of novel lines of research in Homogeneous Dynamics with emphasis on the dynamics of the diagonal group.
Both new and classical applications are suggested, most notably to • Number Theory• Geometry of Numbers• Diophantine approximation.
Emphasis is given to applications in • Diophantine properties of algebraic numbers.The proposal is built of 4 sections.(1) In the first section we discuss questions pertaining to topological and distributional aspects of periodic orbits…
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