Thursday, April 14
Milner 317, 1:00 PM
Title: Arithmetic of singular moduli and class polynomials
Abstract: The values of the usual j-invariant at imaginary quadratic arguments are known as singular moduli; these are algebraic integers which play many important roles in number theory. Here we investigate divisibility properties of traces of singular moduli. We also investigate the arithmetic properties of class polynomials (i.e. the minimal polynomials of singular moduli).