CORDIS Project
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This project investigates hyperbolicity in higher-dimensional geometry, focusing on its implications in topology and group theory. It aims to develop new methods to prove conjectures related to hyperbolic manifolds and enhance the understanding of volume and isoperimetric inequalities.
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 t…
THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD
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