arXiv:1005.5619 Abstract | arXiv Analytics

arXiv:1005.5619 [math.RT]Abstract References Reviews Resources

Cuspidal representations in the l-adic cohomology of the Rapoport-Zink space for GSp(4)

Published 2010-05-31, updated 2010-11-08Version 2

In this paper, we study the l-adic cohomology of the Rapoport-Zink tower for GSp(4). We prove that the smooth representation of GSp_4(Q_p) obtained as the i-th compactly supported l-adic cohomology of the Rapoport-Zink tower has no quasi-cuspidal subquotient unless i=2,3,4. Our proof is purely local and does not require global automorphic methods.

Comments: 31 pages, Minor modifications

Categories: math.RT, math.AG, math.NT

Subjects: 14G35, 22E50, 11F70

Keywords: cuspidal representations, rapoport-zink space, rapoport-zink tower, global automorphic methods, i-th compactly supported l-adic cohomology

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