CORDIS Project
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The project aims to enhance the understanding of tame geometry and its applications in arithmetic and dynamics. It seeks to develop new methods to estimate the complexity of tame sets, potentially leading to significant advancements in these mathematical fields.
Tame geometry studies structures in which every definable set has afinite geometric complexity.
The study of tame geometry spans severalinterrelated mathematical fields, including semialgebraic,subanalytic, and o-minimal geometry.
The past decade has seen theemergence of a spectacular link between tame geometry and arithmeticfollowing the discovery of the fundamental Pila-Wilkie countingtheorem and its applications in unlikely diophantineintersections.
The P-W theorem itself relies crucially on…
WEIZMANN INSTITUTE OF SCIENCE
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