Mathematics 797RT - ST-Intro/Representation Theory

This course will discuss various aspects of representation theory, using G = SL(2,R), R = C,Fq,R and its cousin SU(2) as the main example. In particular, we will study representation theory G. Besides studying the representations of G we would look at applications (motivation for study) of representation theory to other fields of mathematics: mathematical physics, number theory and topology. We will also discuss application to Number theory and connections with Langlands program and applications to low-dimensional topology. We will also discuss open problems and spend some time outside of classroom discussing topics that would interest our study group.

Open to Graduate students only.