Massimiliano Mella: On the automorphisms of moduli spaces of curves

The Deligne--Mumford moduli spaces of curves, and its pointed version, is one of the most studied objects in algebraic geometry of the last decades. More recently Hassett proposed a weighted construction assigning rational weight to the labelled points. Beside the interest in moduli theory this could be a way to study the LMMP of the original D-M moduli space. I'll discuss an approach to determine the automorphism group of many of these spaces mainly based on projective techniques and earlier work on D-M spaces.