  In this thesis we show how to use stack theory to glue description of the
category of perverse sheaves P(X,S) on a stratified space (X,S). Hence we give
new description of P(X,S) when X is locally C^n stratified by the
stratification S given by the normal crossing.
  First we give a characterization of the 2-category of a stack on a stratified
space. Thank to this and to a description in term of quiver's representation of
the category P(C^n,S) due to Galligo, Granger, Maisonobe, we define a stack on
C^n constructible relatively to S, equivalent to the stack Perv(C,S) of
perverse sheaves on C^n relatively to S. As a stack can be define on an open
covering and as toric varieties and C^2 stratified by a generic hyperplanes
arrangement are locally isomorphic to (C^n,S) we can define a stack CC on these
spaces equivalent to the stack PervX. Then a study of the global sections of CC
gives a category of quivers representations equivalent to the category P(X,S').
