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SHIMURA VARIETIES WITH Γ1(p)-LEVEL VIA HECKE ALGEBRA ISOMORPHISMS: THE DRINFELD CASE
VIA HECKE ALGEBRA THE DRINFELD CASE
2015/9/29
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...
Let $\pi, \pi'$ be tempered representations of an affine Hecke algebra with positive parameters. We study their Euler--Poincar\'e pairing $EP (\pi,\pi')$, the alternating sum of the dimensions of the...
We survey techniques to compute the action of the Hecke operators on the cohomology of arithmetic groups. These techniques can be seen as generalizations in different directions of the classical modul...