We will be talking, in the first half, about the moduli space of curves and, in the second, about moduli of curves of genus zero with n points marked. The main references will be the book "Moduli of Curves" by Harris and Morrison, and a paper by M. M. Kapranov titled "Veronese curves and Grothendieck-Knudsen moduli space \bar{M_{0,n}}," J. Algebraic Geometry, 2 (1993) 239-262.