# 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.