Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The p-adic analytic space of pseudocharacters of a profinite group and
  pseudorepresentations over arbitrary rings   Let G be a profinite group which is topologically finitely generated, p a
prime number and d an integer. We show that the functor from rigid analytic
spaces over Q_p to sets, which associates to a rigid space Y the set of
continuous d-dimensional pseudocharacters G -> O(Y), is representable by a
quasi-Stein rigid analytic space X, and we study its general properties. Our
main tool is a theory of "determinants" extending the one of pseudocharacters
but which works over an arbitrary base ring; an independent aim of this paper
is to expose the main facts of this theory. The moduli space X is constructed
as the generic fiber of the moduli formal scheme of continuous formal
determinants on G of dimension d. As an application to number theory, this
provides a framework to study the generic fibers of pseudodeformation rings
(e.g. of Galois representations), especially in the "residually reducible"
case, and including when p <= d.

6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
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The categories of this paper are: hep-th