Shimura varieties at level $\Gamma_1(p^{\infty})$ and Galois representations
We show that the compactly supported cohomology of certain U(n, n) or Sp(2n)-Shimura varieties with Γ1(p∞)-level vanishes above the middle degree. The only assumption is that we work over a CM field F in which the prime p splits completely. We also give an application to Galois representations for t...
| Main Authors: | , , , , , , |
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| Format: | Journal article |
| Language: | English |
| Published: |
Cambridge University Press
2020
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