## EVENT DETAILS AND ABSTRACT

**Special Seminar**
**Title:** From Magic Squares to Polynomials

**Speaker:** Adam Boocher

**Speaker Info:** University of Utah

**Brief Description:**

**Special Note**:

**Abstract:**

A magic square is an array of natural numbers whose rows and columns sum to a given number n. Magic squares have been studied for millennia, but only recently have some combinatorial questions been settled. In this talk, I'll describe how to count the number of magic squares with a given sum. We'll see that the right
approach leads us naturally to systems of polynomial equations, and see that mathematical objects called syzygies are at the heart of this problem. We'll close with some tantalizing conjectures about syzygies of current interest.

**Date:** Friday, January 19, 2018

**Time:** 3:00pm

**Where:** Lunt 107

**Contact Person:** Ben Weinkove

**Contact email:** weinkove@math.northwestern.edu

**Contact Phone:** 847-491-5580

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