ERC Starting Grant · 2017
New horizons in homogeneous dynamics and its applications
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 of the diagonal group in the space of lattices in Euclidean space. These objects encode deep information regarding Diophantine properties of algebraic numbers. We demonstrate how these questions…
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.