A lecture series by Langlands for a lay audience: https://video.ias.edu/The-Practice-of-Mathematics https://video.ias.edu/The-Practice-of-Mathematics The vide

A lecture series by Langlands for a lay audience: https://video.ias.edu/The-Practice-of-Mathematics https://video.ias.edu/The-Practice-of-Mathematics The video is not great, but the content. From the summary: "In spite of forty years as a mathematician, I have difficulty describing these problems, even to myself, in a simple, cogent and concise manner that makes it clear what is wanted and why. As a possible, but only partial, remedy I thought I might undertake to explain them to a lay audience."