Urban's dimension conjecture for eigenvarieties

Let $\mathbb{E}_{\mathcal{H}}$ be the eigenvariety constructed from a Hecke module, let $x$ be a point belonging to exactly one irreducible component of $\mathbb{E}_{\mathcal{H}}$, and let $\theta$ be the corresponding system of eigenvalues. Define $d$ to be the number of consecutive cohomology degrees in which the system $\theta$ appears. Urban's dimension conjecture. The image of the irreducible components to which $x$ belongs in the weight space has codimension $d-1$. This is a precise dimension prediction for irreducible components of non-necessarily-equidimensional eigenvarieties; the paper attributes it to Urban and later applies it to components associated with Eisenstein series.