The Role of Invariant Functions in Understanding Masses and Mixings

Abstract

One of the central questions in theoretical particle physics, since already several decades, has been that of "masses and mixings of the quarks. With the entry of neutrino oscillations into the field, the issue of lepton masses has added a new dimension to the problem. In the literature one finds many models of quark and lepton mass matrices. However, the mass and mixing problems remain unsolved. In this talk I will present my own contributions to this field, however as you may expect without offering a solution. I encourage you to go ahead and think about the problem but be aware of the pitfalls.