Zelevinsky involution and l-adic cohomology of the Rapoport-Zink tower

Abstract

In this paper, we investigate how the Zelevinsky involution appears in the l-adic cohomology of the Rapoport-Zink tower. We generalize the result of Fargues on the Drinfeld tower to the Rapoport-Zink towers for symplectic similitude groups.

arXiv comment47 pages

References in corpus (2)

• Cuspidal representations in the l-adic cohomology of the Rapoport-Zink space for GSp(4)
• Lefschetz trace formula and l-adic cohomology of Rapoport-Zink tower for GSp(4)

Cited by in corpus (1)

• $l$-adic étale cohomology of Shimura varieties of Hodge type with non-trivial coefficients