| Speaker: | Yoichi Mieda (Kyushu U) |
|---|---|
| Title: | Lefschetz trace formula and the l-adic cohomology of the Rapoport-Zink spaces |
| Date (JST): | Tue, Nov 16, 2010, 15:30 - 17:00 |
| Place: | Seminar Room A |
| Abstract: |
(Part 1) The Rapoport-Zink spaces are generalizations of the Lubin-Tate space, which gives a geometric realization of the local Langlands correspondence for GL(n) and the local Jacquet-Langlands correspondence. In the first part, I will recall what is expected for the l-adic cohomology of the Rapoport-Zink spaces. I will also explain a method of calculating them by using Lefschetz trace formula for rigid spaces. (Part 2) First I will discuss on the Lefschetz trace formula for rigid spaces which are not necessarily proper over a non-archimedean field. Next I will give the precise definition of the Rapoport-Zink space for GSp(4) and explain how our trace formula can be used to calculate the l-adic cohomology of it. |
| Remarks: | There will be a 5-minute break after the first 25 min. |
