Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Kottwitz conjecture for unitary PEL-type Rapoport--Zink spaces   In this paper we study the cohomology of PEL-type Rapoport-Zink spaces
associated to unramified unitary similitude groups over $\Q_p$ in an odd number
of variables. We extend the results of Kaletha-Minguez-Shin-White to construct
a local Langlands correspondence for these groups and prove an averaging
formula relating the cohomology of Rapport-Zink spaces to this correspondence.
We use this formula to prove the Kottwitz conjecture for the groups we
consider.

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The categories of this paper are: hep-ex
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The categories of this paper are: hep-th
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat
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The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
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The categories of this paper are: nucl-th
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The categories of this paper are: nlin
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: math-ph
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The categories of this paper are: stat
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The categories of this paper are: solv-int