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We investigate the alternating sum of the l-adic cohomology of theRapoport-Zink tower for GSp(4) by the Lefschetz trace formula. Under someassumptions on L-packets of GSp(4) and its inner form, we observe that thelocal Jacquet-Langlands correspondence appears in the cohomology.

Lefschetz trace formula and l-adic cohomology of Rapoport-Zink tower for GSp(4)