Eigenvarieties for reductive groups


We develop the theory of overconvergent cohomology introduced by G. Stevens, and we use it to give a construction of eigenvarieties associated to any reductive group $G$ over $\mathbb{Q}$ such that $G(\mathbb{R})$ has discrete series. We prove that the so-called eigenvarieties are equidimensional and generically flat over the weight space.


Eric Urban

Department of Mathematics
Columbia University
2990 Broadway
New York, NY 10027

Institut de Mathématique de Jussieu
Case 247 - 4
place Jussieu Cedex
75252 Paris Cedex