Abstract
We study the bad reduction at the boundary of some Shimura varieties, and its influence on l-adic cohomology. We show that in Iwahori level, there is commutation between the nearby cycles functor and the intermediate extension functor to Satake compactification. We deduce generalizations of results of Morel on the intersection cohomology of such varieties. We then show how to extend these results to the case of pro-p-Iwahori level structures.
| Translated title of the contribution | Bad reduction at the boudary |
|---|---|
| Original language | French |
| Pages (from-to) | 269-304 |
| Number of pages | 36 |
| Journal | Asterisque |
| Volume | 2015 |
| Issue number | 370 |
| Publication status | Published - 1 Jan 2015 |
| Externally published | Yes |