Citation
Daigle, Gerald Joseph III (Jay) (2014) On the Local Tamagawa Number Conjecture for Tate Motives. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/RFXG-4E72. https://resolver.caltech.edu/CaltechTHESIS:05292014-153502602
Abstract
There is a wonderful conjecture of Bloch and Kato that generalizes both the analytic Class Number Formula and the Birch and Swinnerton-Dyer conjecture. The conjecture itself was generalized by Fukaya and Kato to an equivariant formulation. In this thesis, I provide a new proof for the equivariant local Tamagawa number conjecture in the case of Tate motives for unramified fields, using Iwasawa theory and (φ,Γ)-modules, and provide some work towards extending the proof to tamely ramified fields.
| Item Type: | Thesis (Dissertation (Ph.D.)) | ||||||
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| Subject Keywords: | Mathematics, number theory, L-functions, (phi, Gamma)-modules | ||||||
| Degree Grantor: | California Institute of Technology | ||||||
| Division: | Physics, Mathematics and Astronomy | ||||||
| Major Option: | Mathematics | ||||||
| Thesis Availability: | Public (worldwide access) | ||||||
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| Defense Date: | 21 May 2014 | ||||||
| Record Number: | CaltechTHESIS:05292014-153502602 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechTHESIS:05292014-153502602 | ||||||
| DOI: | 10.7907/RFXG-4E72 | ||||||
| Related URLs: |
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| Default Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 8427 | ||||||
| Collection: | CaltechTHESIS | ||||||
| Deposited By: | Gerald Daigle | ||||||
| Deposited On: | 30 May 2014 23:57 | ||||||
| Last Modified: | 04 Oct 2019 00:05 |
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