Equidistribution in supersingular Hecke orbits
| Authors | |
|---|---|
| Publication date | 2017 |
| Journal | Journal fur die Reine und Angewandte Mathematik |
| Volume | Issue number | 733 |
| Pages (from-to) | 25-54 |
| Organisations |
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| Abstract |
We prove that Hecke operators act with equidistribution on the basic stratum of certain Shimura varieties. We relate the rate of convergence to the bounds from the Ramanujan conjecture of certain cuspidal automorphic representations on GLn for which this conjecture is known, and therefore we obtain optimal estimates on the rate of convergence. |
| Document type | Article |
| Language | English |
| Published at |
https://doi.org/10.1515/crelle-2014-0157
(Final published version)
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