Algebraic Geometry Seminar: Olivier Benoist

Codimension 2 complete intersections in P^N have a natural parameter space that is a projective bundle over a projective space given by the data of the two equations. In this talk, we will be interested in the birational geometry of this parameter space. In particular, is it a Mori dream space? If this is the case, is it possible to describe its MMP explicitly? We will give motivations for these questions and answers in particular cases.