Marco Andreatta, On Fano manifolds Abstract: Fano manifolds are special projective varieties, discovered and studied long ago by the italian mathematician Gino Fano, which in recent type, thank to their many important features, have become central blocks in different aspect of geometry. This happened in particular in the so called Minimal Model Program or Mori theory. I will present some recent results on Fano manifolds in the frame of Mori theory, either connected to a long standing conjecture of S. Mukai or to classification problems.