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A map in Sharifi’s conjecture for general non-exceptional characters and tame level
- Vu, Frederick
- Advisor(s): Sharifi, Romyar T
Abstract
This dissertation details the construction of the map $\Upsilon$ of Sharifi's conjecture for a general tame level $N$ and odd prime $p$ satisfying $Np > 3$ and for general non-exceptional characters $\theta$ of $(\Z/Np\Z)^\times$. We then show that, conditioned upon a certain Zariski density result of Hida, the constructed map $\Upsilon$ is in fact surjective and is an isomorphism modulo $p$-torsion.
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