Abstract: A Calabi-Yau manifold is a compact Kahler manifold with vanishing first Chern class. Yau's solution of the Calabi Conjecture implies that Calabi-Yau manifolds admit Ricci-flat Kahler metrics, which in most cases are not explicit. We will address the problem of understanding how these Ricci-flat metrics can degenerate, when the complex structure is fixed.