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

Abstract

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

59 pages

References in corpus (2)

• Theta correspondences for GSp(4)
• The global structure of moduli spaces of polarized p-divisible groups