Hodge Conjecture is a problem in mathematics that is still unsolved. Basically, it's trying to figure out which things (called "geometric objects") look the same in every way, even when you look at them from different angles. For example, if you look at a cube from the top, bottom, and all four sides, it looks the same no matter which way you look. The Hodge conjecture is trying to figure out which geometric objects look the same when looked at from different angles.