Representations of quasiprojective groups, Flat connections and   Transversely projective foliations
  The main purpose of this paper is to provide a structure theorem for codimension one singular transversely projective foliationson projective manifolds. To reach our goal, we firstly extend Corlette-Simpson's classification of rank two representationsof fundamental groups of quasiprojective manifolds by dropping the hypothesis of quasi-unipotency at infinity.Secondly we establish an analogue classification for rank two flat meromorphic connections.In particular, we prove that a rank two flat meromorphic connection with irregular singularities having non trivial Stokesprojectively factors through a connection over a curve. 
Frank Loray (IRMAR), Fr\'ed\'eric Touzet (IRMAR), Jorge Vitorio   Pereira (IMPA)
math.AG