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http://hdl.handle.net/11375/18997
Title: | Duality over p-adic Lie extensions of global fields |
Authors: | Lim, Meng |
Advisor: | Sharifi, Romyar |
Department: | Mathematics |
Keywords: | lie extension;global field;cohomological;invariant;number field |
Publication Date: | Aug-2010 |
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> |
URI: | http://hdl.handle.net/11375/18997 |
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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