WorkshopsCuspidal representations in the l-adic cohomology of the Rapoport-Zink space for GSp(4)
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I will report on my recent work with Tetsushi Ito on the l-adic cohomology of the Rapoport-Zink space for GSp(4). We prove that the smooth representation of GSp4(Qp) 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. In the proof, the variants of formal nearby cycle introduced by myself play essential roles.
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Yoichi Mieda
2010-07-14
14:00:00 - 15:20:00
101 , Mathematics Research Center Building (ori. New Math. Bldg.)
I will report on my recent work with Tetsushi Ito on the l-adic cohomology of the Rapoport-Zink space for GSp(4). We prove that the smooth representation of GSp4(Qp) 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. In the proof, the variants of formal nearby cycle introduced by myself play essential roles.