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Distinguished Mathematicians Of Color Colloquium
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Anthony V?rilly-Alvarado, Zoom (link below): Perfect Cuboids and Magic Squares of Squares
Monday, April 05, 2021, 04:00pm - 05:00pm
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. Zoom link: https://utexas.zoom.us/j/93570208579
Location: Zoom (link below)

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