Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Lefschetz trace formula for Lubin-Tate spaces   We reprove the Lefschetz trace formula for Lubin-Tate spaces, based on the
locally finite cell decompositions of these spaces obtained by Fargues, and
Mieda's theorem of Lefschetz trace formula for certain open adic spaces
(\cite{Mi1} theorem 3.13). This proof is rather different from those of Strauch
in \cite{St} (theorem 3.3.1) and of Mieda in \cite{Mi1} (example 4.21), and is
quite hopeful to generalized to some other Rapoport-Zink spaces as soon as
there exist suitable cell decompositions. For example, we proved a Lefschetz
trace formula for some unitary Rapoport-Zink spaces in \cite{Sh} by using
similar ideas here.

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The categories of this paper are: funct-an
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The categories of this paper are: solv-int
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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: atom-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat
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The categories of this paper are: q-alg
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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-fin
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The categories of this paper are: dg-ga
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The categories of this paper are: bayes-an