Langlands Program
The Langlands Program is a set of interconnected ideas in mathematics that seeks to link number theory and representation theory. It proposes deep relationships between solutions of certain equations and the properties of algebraic objects, such as Galois groups and automorphic forms.
This program was initiated by mathematician Robert Langlands in the late 1960s. It has since inspired significant research and breakthroughs, influencing various fields, including algebraic geometry and harmonic analysis. The Langlands Program aims to unify different areas of mathematics through these profound connections.