Defining varieties over number fields

Defining varieties over number fields

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Jun Su , Princeton University
Fine Hall 314

Shimura varieties are complex algebraic varieties obtained as quotients of Hermitian symmetric spaces. However, it turns out that they admit canonical models defined over number fields. In this talk I will explain how to define the modular curve X_0(N) over the rationals and introduce the concepts of special points and canonical models for general Shimura varieties.