EVENT DETAILS AND ABSTRACT

Title: Fekete polynomials, quadratic residues, and arithmetic
Speaker: Tung Nguyen
Speaker Info: Western University/University of Chicago
Brief Description:
Special Note:
Abstract:

Fekete polynomials play an important role in the study of special values of L-functions of quadratic fields. While their analytic properties are well-studied in the literature, little is known about their arithmetic. In this talk, we will discuss some surprising arithmetical properties of these polynomials. In particular, we will see that special values of Fekete polynomials contain some rich information about the class numbers of quadratic fields. Furthermore, their Galois groups seem to follow a rather simple pattern. Time permitting, I will discuss some recent progress on generalized Fekete polynomials. This is based on joint work with Jan Minac and Nguyen Duy Tan.