Number Theory Seminar

Date: December 4, 2019

Time: 1:45PM - 2:45PM

Location: BLOC 220

Speaker: Guchao Zeng, Texas A&M University at Qatar

Title: Modular Equations and Traces of Singular Moduli over Function Fields

Abstract: In this talk, I will introduce the modular polynomials as well as the relation between j-invariants and class polynomials in classical number fields. And then I will give the corresponding theorem in function fields and derive the equation giving value to the trace of the class polynomial, which is a summation of a few j-invariants. This work is joint with A. El-Guindy, R. Masri and M. Papanikolas.