CORDIS Project
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This project explores ergodic properties of large groups and their implications in dynamical systems and Diophantine geometry. It aims to connect various mathematical areas by addressing open questions related to rational points and polynomial functions.
In our project we address several fundamental questions regarding ergodic-theoretical properties of actions of large groups.
The problems that we plan to tackle are not only of central importance in the abstract theory of dynamical systems, but they also lead to solutions of a number of open questions in Diophantine geometry such as the Batyrev--Manin and Peyre conjectures on the asymptotics and the distribution of rational points on algebraic varieties, a generalisation of the Oppenheim conject…
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