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Shimura varieties with $Γ_1(p)$-level via Hecke algebra isomorphisms: the Drinfeld case (1005.2558v4)
Published 14 May 2010 in math.AG, math.NT, and math.RT
Abstract: 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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