Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Deformation spaces of one-dimensional formal modules and their
  cohomology   We study the geometry and cohomology of the (generic fibres) of formal
deformation schemes of one-dimensional formal modules of finite height. By the
work of Boyer (in mixed characterististic) and Harris and Taylor, the l-adic
etale cohomology of these spaces realizes simultaneously the local Langlands
and Jacquet-Langlands correspondences. The proofs given so far use Drinfeld
modular varieties or Shimura varieties to derive this local result. In this
paper we show without the use of global moduli spaces that the
Jacquet-Langlands correspondence for supercuspidal representations is realized
by the Euler-Poincare characteristic of the cohomology. Under a certain
finiteness assumption on the cohomology groups, it is shown that the
correspondence is realized in only one degree. One main ingredient of the proof
consists in analyzing the boundary of the deformation spaces and in studying
larger spaces which can be considered as compactifications of the deformation
spaces.

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The categories of this paper are: gr-qc
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
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The categories of this paper are: cs
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The categories of this paper are: stat
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The categories of this paper are: math-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
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The categories of this paper are: supr-con
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The categories of this paper are: mtrl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: q-fin