Shimura varieties with infinite level, and torsion in the cohomology of locally symmetric spaces.
Formal Metadata
| Title | Shimura varieties with infinite level, and torsion in the cohomology of locally symmetric spaces. |
|
| Title of Series | |
| Number of Parts | 26 |
| Author | |
| License | You are free to use, adapt and copy, distribute and transmit the work or content in adapted or unchanged form for any legal purpose as long as the work is attributed to the author in the manner specified by the author or licensor. |
| Identifiers | |
| Publisher | |
| Release Date | |
| Language | |
Content Metadata
| Subject Area | |
| Genre | |
| Abstract | We will discuss the p-adic geometry of Shimura varieties with infinite level at p: They are perfectoid spaces, and there is a new period map defined at infinite level. As an application, we will discuss some results on torsion in the cohomology of locally symmetric spaces, and in particular the existence of Galois representations in this setup. |
|
