| Résume | The Bernstein center is a commutative ring that plays a role in the smooth representations of p-adic groups that is analogous to role played by the center of the group ring in the representation theory of finite groups. We give some basic structural results for the Bernstein center of the category of smooth l-adic (integral) representations of a p-adic GL(N), and explain the implications of these results for the problem of interpolating the local Langlands correspondence across families of Galois representations. |
