University of Cambridge > Talks.cam > Number Theory Seminar > Cuspidal representations in the l-adic cohomology of some Rapoport-Zink spaces

Cuspidal representations in the l-adic cohomology of some Rapoport-Zink spaces

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact Tom Fisher.

Rapoport-Zink spaces are certain moduli spaces of quasi-isogenies of p-divisible groups with additional structures, and can be regarded as local analogues of Shimura varieties. In this talk, we will consider the l-adic cohomology of two Rapoport-Zink spaces; one is the Lubin-Tate space (the Rapoport-Zink space for GL(n)) and the other is the Rapoport-Zink space for GSp(4). I will explain the following non-cuspidality results on these cohomology groups: for GL(n), cuspidal representation appears only in the cohomology of degree n-1, and for GSp(4), it appears only in the cohomology of degree 2, 3 and 4. The proof is purely local and does not require global automorphic methods.

This talk is part of the Number Theory Seminar series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2024 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity