The Hodge Conjecture was formulated by British mathematician William Vallance Douglas Hodge in 1930.
The Hodge Conjecture is a famous unsolved problem in algebraic geometry, which relates the topology of a complex algebraic variety to its algebraic structure.
Some of the most notable mathematicians who have worked on the Hodge Conjecture include Phillip Griffiths, Pierre Deligne, and Shing-Tung Yau.
The Hodge Conjecture is important because it has connections to many other areas of mathematics, such as topology, algebraic geometry, and complex analysis. It also has applications in physics, particularly in string theory.
While there have been partial results and progress made towards proving the Hodge Conjecture, it remains an unsolved problem. In 2014, mathematician Claire Voisin claimed to have proven a counterexample to the conjecture, but her proof was later found to be flawed. Currently, the conjecture remains open and is considered one of the most challenging problems in mathematics.