# The Kottwitz conjecture for unitary PEL-type Rapoport--Zink spaces

@inproceedings{Meli2021TheKC, title={The Kottwitz conjecture for unitary PEL-type Rapoport--Zink spaces}, author={Alexander Bertoloni Meli and Kieu Hieu Nguyen}, year={2021} }

In this paper we study the cohomology of PEL-type Rapoport– Zink spaces associated to unramified unitary similitude groups over Qp 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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