Time： Every Wednesday (14:00-16:00) From 2016-03-23 to 2016-05-18; April, 4; April, 11; April, 25; May, 9; May, 16. (14:00-16:00) 

The first part of the course will focus on algebraic number theory (mainly class field theory of quadratic imaginary fields) and complex multiplication (mainly on elliptic curves, but also on general abelian varieties). We will then recall basic facts concerning modular curves. The last lectures will be an introduction to the André-Oort conjecture on a power of a modular curve. The course will be accessible to third-year or fourth-year undergraduate students.