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Colloquium, Spring 2006

Day: Thursday, May 24th Time: 4:00pm Place: BH 112 Title: Four Squares Speaker: Arlene Jacobson Abstract: In number theory and algebra we discuss expressing a prime as a sum of two squares. After seeing this, it is natural to wonder about three squares, or four squares. Lagrange proved that every integer can be expressed as a sum or squares of four integers. This is known as the Four Square Theorem. There are questions we might ask such as: "Which integers require four squares?" Or, "Is a representation unique?" In my talk I will discuss some of the history surrounding the Four Square Theorem, answer some of the questions above, and discuss a few other generalizations of Four Square Theorem. Tea: In BH 300 at 3:30pm.