Shimura maps

Shimura maps are mathematical functions that connect certain special algebraic objects called Shimura varieties to other well-understood structures, such as moduli spaces of abelian varieties with extra features. They serve as tools in number theory and algebraic geometry to study complex symmetries and rational points, helping researchers understand how these high-level objects relate to more classical geometric or arithmetic structures. Essentially, Shimura maps translate intricate geometric objects into more manageable forms, revealing deep insights into the interplay between geometry, symmetry, and number theory.