Đề tài " Elliptic units for real quadratic fields "
Elliptic units, which are obtained by evaluating modular units at quadratic
imaginary arguments of the Poincar´e upper half-plane, provide us with a rich
source of arithmetic questions and insights. They allow the analytic construction
of abelian extensions of imaginary quadratic fields, encode special values of zeta functions through the Kronecker limit formula, and are a prototype for
Stark’s conjectural construction of units in abelian extensions of number fields.
Elliptic units have also played a key role in the study of elliptic curves with
complex multiplication through the work of Coates and Wiles....
