## Events

### Math/Stats Colloquium: Anthony Várilly-Alvarado

A talk by Anthony Várilly-Alvarado (Rice University)

**Speaker: ** Anthony Várilly-Alvarado (Rice University)

**Title: ** Perfect Cuboids and Magic Squares of Squares

**Abstract: ** A perfect cuboid is a box such that the distance between any two corners is a positive integer. A magic square is a grid filled with distinct positive integers, whose rows, columns, and diagonals add up to the same number. To date, we don't know if there exists a perfect cuboid, or a 3 x 3 magic square whose entries are distinct squares. What do these problems have in common? Secretly, they are both problems about rational points on algebraic surfaces of general type. I believe there is no such thing as a perfect cuboid or a 3 x 3 magic square of squares, and I will try to convince you that geometry suggests this is so.

The Zoom link for the talk will be sent to the **mast-interest mailing list**. Sign up if you are not already on the list.

Sponsored by Mathematics and Statistics Events. Contact: Sue Jandro