8 citations · 10 across the 5 of their papers we have counts for
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On Emerton's -adic Banach spaces
Richard Hill
The purpose of the current paper is to introduce some new methods for studying the -adic Banach spaces introduced by Emerton \cite{emerton}. We first relate these spaces to more…
Geometric construction of metaplectic covers of $\GL_{n}$ in characteristic zero
Richard Hill
This paper presents a new construction of the m-fold metaplectic cover of $\GL_{n}$ over an algebraic number field k, where k contains a primitive m-th root of unity. A 2-cocycle o…
Weights of modular forms on and congruences between Eisenstein series and cusp forms of half-integral weight on
Richard Hill
Let be a level 1, vector valued Eisenstein series of half-integral weight, normalized so that the coefficients are all in . We show that there is a level one vector…
A reinterpretation of Emerton's -adic Banach spaces
Richard Hill
It is shown that the -adic Banach spaces introduced by Emerton are isomorphic to the cohomology groups of the sheaf of continuous $\Q_{p}$-valued functions on a certain space. S…
Construction of eigenvarieties in small cohomological dimensions for semi-simple, simply connected groups
Richard Hill
We study low order terms of Emerton's spectral sequence for simply connected, simple groups. As a result, for real rank 1 groups, we show that Emerton's method for constructing eig…