Citation
Yeo, Foo Yee (2016) l-adic Cohomology of the Dual Lubin-Tate Tower via the Exterior Power. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Z9F769JT. https://resolver.caltech.edu/CaltechTHESIS:05272016-150420774
Abstract
We study the l-adic cohomology of the dual Lubin-Tate tower by using the exterior power of a pi-divisible O-module to relate it to the cohomology of the Lubin-Tate tower. By using a result of Harris-Taylor on the cohomology of the Lubin-Tate tower, we show that the supercuspidal part of the cohomology of the dual Lubin-Tate tower realizes the local Langlands and the Jacquet-Langlands correspondences, up to certain twists.
| Item Type: | Thesis (Dissertation (Ph.D.)) |
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| Subject Keywords: | dual Lubin-Tate tower; Rapoport-Zink spaces; l-adic cohomology; local Langlands; Jacquet-Langlands |
| Degree Grantor: | California Institute of Technology |
| Division: | Physics, Mathematics and Astronomy |
| Major Option: | Mathematics |
| Thesis Availability: | Public (worldwide access) |
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| Thesis Committee: |
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| Defense Date: | 18 May 2016 |
| Record Number: | CaltechTHESIS:05272016-150420774 |
| Persistent URL: | https://resolver.caltech.edu/CaltechTHESIS:05272016-150420774 |
| DOI: | 10.7907/Z9F769JT |
| Default Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. |
| ID Code: | 9795 |
| Collection: | CaltechTHESIS |
| Deposited By: | Foo Yee Yeo |
| Deposited On: | 31 May 2016 16:05 |
| Last Modified: | 07 Nov 2022 23:13 |
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