Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the topological cyclic homology of the algebraic closure of a local
  field   The cyclotomic trace provides a comparison of the algebraic K-theory spectrum
and a pro-spectrum TR that is built from the cyclic fixed points of topological
Hochschild homology. In a previous paper with Ib Madsen, we used this
comparison and an approximate evaluation of the structure of the pro-spectrum
TR to evaluate the p-adic K-groups of a local field K of mixed characteristic
(0,p) with perfect residue field. In this paper we completly determine the
structure of the pro-spectrum TR for an algebrac closure of the local field K.
This leads us to formulate a conjecture for the structure of the pro-spectrum
TR for the field K. We also determine the structure of the absolute de
Rham-Witt complex of the valuation ring R in the algebraic closure of K. The
group in degree one is a p-divisible group whose Tate module is free module of
rank one over the ring of Witt vectors in R. We give an explicit generator of
this Tate module.

6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
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The categories of this paper are: hep-th
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The categories of this paper are: eess
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The categories of this paper are: hep-ex
18
The categories of this paper are: econ