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

  Browse A-Z

Log in

University Account External (via Google)

🔐 Log In

Information on

Subscribing to talksdetails Finding a talkdetails Adding a talkdetails Disseminating talksdetails Help and Documentationdetails

ℹī¸ Information

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

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.

This talk is included in these lists:

Note that ex-directory lists are not shown.

Other lists

GS5, Donald McIntyre Building, Faculty of Education, 184 Hills Road, Cambridge In person in the Max Perutz Lecture Theatre (CB2 0QH) and via Zoom link https://mrc-lmb-cam-ac-uk.zoom.us/j/98880219442?pwd=2LiGulNdYohUjaMnbiN88kLpt3r8M9.1 Geog-biogeo

Other talks

Kirk Public Lecture | A proxy window into the beautiful and challenging world of causal attribution TBC Early cancer clinical trials Title to be confirmed CSAR lecture: In a post-Ozempic world, have we cured obesity? Topology of the Ritz energy landscape
 

Š 2006-2025 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity