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http://hdl.handle.net/11375/18997
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DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | Sharifi, Romyar | - |
dc.contributor.author | Lim, Meng | - |
dc.date.accessioned | 2016-03-28T19:03:31Z | - |
dc.date.available | 2016-03-28T19:03:31Z | - |
dc.date.issued | 2010-08 | - |
dc.identifier.uri | http://hdl.handle.net/11375/18997 | - |
dc.description.abstract | <p> In his monograph [Ne], Nekovar studies cohomological invariants of big Galois representations and looks at the variations of Selmer groups attached to intermediate number fields in a commutative p-adic Lie extension. In view of the formulation of the "main conjecture" for noncommutative extensions, it seems natural to extend the theory to a noncommutative p-adic Lie extension. This thesis will serve as a first step in an extension of this theory, namely, we will develop duality theorems over a noncommutative p-adic Lie extension which are extensions of Tate local duality, Poitou-Tate global duality and Grothendieck duality. </p> | en_US |
dc.language.iso | en | en_US |
dc.subject | lie extension | en_US |
dc.subject | global field | en_US |
dc.subject | cohomological | en_US |
dc.subject | invariant | en_US |
dc.subject | number field | en_US |
dc.title | Duality over p-adic Lie extensions of global fields | en_US |
dc.contributor.department | Mathematics | en_US |
dc.description.degreetype | Thesis | en_US |
dc.description.degree | Doctor of Philosophy (PhD) | en_US |
Appears in Collections: | Open Access Dissertations and Theses |
Files in This Item:
File | Description | Size | Format | |
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Lim_Meng_F_2010_Phd.pdf | 31.23 MB | Adobe PDF | View/Open |
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