Matthew Jobrack
Department of Mathematics and Statistics
Washington State University
Title: An Introduction to Modular Forms
Abstract: Modular forms are
special functions defined on the complex upper half-plane. Along with
their generalizations, they have important applications in physics as
well as several branches of pure mathematics, including algebraic
geometry and modern number theory. This talk will provide a basic
introduction to these functions and their properties, including an
arithmetic application involving sums of squares.