Dissertation/Thesis Abstract

Eichler-Shimura cohomology groups and the Iwasawa main conjecture
by Lafferty, Matthew J., Ph.D., The University of Arizona, 2015, 89; 3702136
Abstract (Summary)

Ohta has given a detailed study of the ordinary part of p-adic Eichler-Shimura cohomology groups (resp., generalized p-adic Eichler-Shimura cohomology groups) from the perspective of p-adic Hodge theory. Assuming various hypotheses, he is able to use the structure of these groups to give a simple proof of the Iwasawa main conjecture over Q. The goal of this thesis is to extend Ohta’s arguments with a view towards removing these hypotheses.

Indexing (document details)
Advisor: Sharifi, Romyar T.
Commitee: Cais, Bryden, McCallum, William, Savitt, David
School: The University of Arizona
Department: Mathematics
School Location: United States -- Arizona
Source: DAI-B 76/09(E), Dissertation Abstracts International
Subjects: Mathematics
Keywords: Cohomology groups, Eichler-Shimura, Iwasawa main conjecture
Publication Number: 3702136
ISBN: 9781321732627
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