The Langlands program: a synthesis of number theory and representation theory

2:00 pm, Wednesday, 26th June

Abstract

The Langlands program posits the existence of fundamental connections between symmetries of algebraic equations (Galois groups of algebraic number fields) and representation of Lie groups arising from harmonic analysis on symmetric spaces. I will try to explain some of the key ideas underlying these connections, with a focus on illustrative examples that are also related to important contemporary developments.