ERC Consolidator Grant · 2024
Hyperbolicity pervades modern mathematics. It is the dominant type of geometry both in low-dimensional topology and group theory, and in such regimes it is a well-understood concept. Such a comprehensive understanding, however, does not extend to higher dimensions and other higher manifestations of hyperbolicity, and this proposal will attempt to change that by focusing on fibring, volume, isoperimetric inequalities, and the Atiyah conjecture. One of the most pressing problems that geometric topology faces today is to devise a way of adapting Thurston's philosophy to high dimensions. In particular, it is paramount that we answer the question of whether all hyperbolic manifolds in odd…
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.