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Shimura varieties with \(\Gamma_1(p)\;\)-level via Hecke algebra isomorphisms: the Drinfeld case

T. Haines, M. Rapoport

Number 25
Author Michael Rapoport
Project B07
Year 2010

We study the local factor at p of the semi-simple zeta function of a Shimura variety of Drinfeld type for a level structure given at p by the pro-unipotent radical of an Iwahori subgroup. Our method is an adaptation to this case of the Langlands-Kottwitz counting method. We use Hecke algebra isomorphisms to determine the test functions at p.

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