Introduction to integrable systems IV

This mini-course consists of three parts. In the first part, we will study the
theory of integrable Hamiltonian systems of hydrodynamic type. In the second
part, we study perturbations of integrable hierarchies of hydrodynamic type. In
the third part, we study tau structure and the relationship between integrable
hierarchies and topology of moduli space of stable algebraic curves (in particular
Hodge integrals).