|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|
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.
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.|