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l-adic Cohomology of the Dual Lubin-Tate Tower via the Exterior Power

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. http://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.))
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)
Research Advisor(s):
  • Mantovan, Elena
Thesis Committee:
  • Mantovan, Elena (chair)
  • Ramakrishnan, Dinakar
  • Flach, Matthias
  • Zhu, Xinwen
Defense Date:18 May 2016
Record Number:CaltechTHESIS:05272016-150420774
Persistent URL:http://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:31 May 2016 21:08

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