Introduction of translation surfaces and their moduli spaces

Introduction of translation surfaces (definitions and examples) and their moduli spaces, period coordinates, SL(2,R)-action (examples: pseudo-Anosov), Kontsevich-Zorich cocycle (examples of concrete matrices via Thurston-Veech and/or Rauzy-Veech algorithm), some applications (of Zorich phenomenon in Delecroix-Hubert-Lelievre and of Lyapunov exponents in Kappes-Moeller).