Langlands’ Program:
Langland wrote to André Weil in 1967:
Analysis & Algebra linked up by L-function, which converts algebraic data from Galois theory into Analytic functions in complex numbers.
He goes beyong Modular Form to the Automorphic Forms (complex functions whose symmetries are described by larger matrices).
Key concepts on Algebra marry up with those from Analysis.
Mathtuition88 