A Shimura variety is a type of geometric object that arises in the field of algebraic geometry, particularly in the study of number theory and arithmetic geometry. They provide a rich framework that connects various areas, including representation theory, arithmetic, and the theory of automorphic forms. More specifically, Shimura varieties are a generalization of modular curves. They can be thought of as higher-dimensional analogues of modular forms and are defined using the theory of algebraic groups and homogeneous spaces.
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