Langlands program

The Langlands Program is a vast and influential set of conjectures and theories in the fields of number theory and representation theory, proposed by the mathematician Robert Langlands in the late 1960s. It seeks to establish deep connections between different areas of mathematics, notably between: 1. **Number Theory**: The study of integers and their properties. 2. **Representation Theory**: The study of how algebraic structures, like groups, can be represented through linear transformations of vector spaces.