Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cohomology of Siegel Varieties with p-adic integral coefficients and
  Applications   Under the assumption that Galois representations associated to Siegel modular
forms exist (it is known only for genus at most 2), we show that the cohomology
with p-adic integral coefficients of Siegel Varieties, when localized at a
non-Eisenstein maximal ideal of the Hecke algebra, is torsion-free, provided
the prime p is large with the respect to the weight of the coefficient system.
The proof uses p-adic Hodge theory, the dual BGG complex modulo p in order to
compute the Hodge-Tate weights for the mod p cohomology. We apply this result
to the construction of Hida p-adic families for symplectic groups and to the
first step in the construction of a Taylor-Wiles system for these groups.

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The categories of this paper are: chem-ph
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
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The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an