EVENT DETAILS AND ABSTRACT

Title: Singular moduli for real quadratic fields
Speaker: Jan Vonk
Speaker Info: McGill University
Brief Description:
Special Note:
Abstract:

The theory of complex multiplication, one of the great achievements of number theory in the 19th century, describes finite abelian extensions of imaginary quadratic number fields using singular moduli, which are special values of modular functions at CM points. Hilbert's 12th problem asks for a satisfactory analogue of this theory for arbitrary number fields. I will describe joint work with Henri Darmon in the setting of real quadratic fields, where we construct p-adic analogues of singular moduli through classes of rigid meromorphic cocycles.