Faber's relations on the cohomology of M_g

I will talk about the business of studying the cohomology (or Chow ring) of the moduli space of Rimeann surfaces of fixed genus. In particular, I will define the "tautological" kappa-classes and talk about Faber's method of finding relations between them, which turns out to be a quite difficult problem. I will hopefully talk about other methods for doing this in a topology seminar at some point. I apologize in advance for any topological slang I'll use (such as Chern classes living in cohomology, Riemann *surfaces*, etc.); in fact the only algebraic geometry I'll use is a bit of divisors and Riemann-Roch.