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

Author: Yeo, Foo Yee

Year: 2016

Degree: Dissertation (Ph.D.)

Advisor: Mantovan, Elena

Committee Members: Mantovan, Elena; Ramakrishnan, Dinakar; Flach, Matthias; Zhu, Xinwen

Option: Mathematics

DOI: 10.7907/Z9F769JT

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.

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