Moonshine conjecture
The Moonshine conjecture is a fascinating idea in mathematics that connects two seemingly unrelated areas: finite groups and modular forms. It suggests that there is a deep relationship between the Monster group, the largest of the finite simple groups, and certain functions known as modular forms, which are important in number theory.
This conjecture was first proposed in the 1970s and was later proven in the 1980s by mathematicians like Richard Borcherds. The proof revealed unexpected links between algebra, geometry, and number theory, leading to new insights in both group theory and string theory.