CORDIS Project
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This project addresses the Andre-Oort conjecture in number theory, aiming to develop a proof without relying on the Generalized Riemann Hypothesis. It also explores related conjectures in the geometry of Shimura varieties.
The Andre-Oort conjecture is an important problem in the theory of Shimura varieties.
It also has significant applications in other areas of Number Theory, such as transcendence theory.
The conjecture was proved assuming the Generalised Riemann Hypothesis by Klingler, Ullmo and Yafaev.
Very recently, Jonathan Pila came up with a very promising strategy for proving the Andre-Oort conjecture unconditionally.
The first main aim of this proposal is to combine Pila's ideas with the ideas of Klingler-…
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