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

Published 31 May 2010 in math.RT, math.AG, and math.NT | (1005.5619v2)

Abstract: 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.

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Authors (2)

  1. Tetsushi Ito 
  2. Yoichi Mieda 

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