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Paper detail

Shimura varieties with $Γ_1(p)$-level via Hecke algebra isomorphisms: the Drinfeld case

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.

preprint2011arXivOpen access
T. HainesM. Rapoport
math.RTmath.AGmath.NT
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T. HainesM. Rapoport

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