In this talk, I will discuss the process of ‘categorification’; that is, taking a known statement about concrete objects (like sets) and looking for a generalization (or analogue) in a more abstract setting. I will give some specific examples, beginning with the classical theory of the Fourier transform, and (if time permits) briefly discuss how the ‘categorification’ of this theory arises in geometric representation theory.
This video is a Distinguished Lecture at Arizona State University.
