Some Problems of Unlikely Intersections in Arithmetic and Geometry

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Focusing on the concept of Unlikely Intersections, the book explores significant mathematical issues related to torsion points in subvarieties of tori and abelian varieties. It delves into the behavior of algebraic subgroups intersecting a specified subvariety in dimensions that are considered unlikely. This work expands on the Hermann Weyl Lectures presented by Umberto Zannier at the Institute for Advanced Study in Princeton in 2010, providing a deeper understanding of these complex mathematical themes.