Two hundred years of reciprocity in Number Theory

Frank Calegari (University of Chicago)
Tue 28 Feb 2017 at 12pm in Russell Love (Peter Hall building)

In the ‘70s, Langlands proposed some profound conjectures linking two apparently disparate fields: Harmonic Analysis, which is a generalization of Fourier theory, and Number Theory, which studies the properties of integers. In this talk, I would like to give a broad outline of what Langlands conjectures say, and describe some of the progress that has been made, including contributions from Gauss, Wiles, and Scholze.