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Author ORCID Identifier
https://orcid.org/0000-0003-4922-7831
AccessType
Open Access Dissertation
Document Type
dissertation
Degree Name
Doctor of Philosophy (PhD)
Degree Program
Mathematics
Year Degree Awarded
2019
Month Degree Awarded
September
First Advisor
Siman Wong
Subject Categories
Number Theory
Abstract
In this thesis, we prove that, a selfdual 3-dimensional Galois representation constructed by van Geemen and Top is isomorphic to a quadratic twist of the symmetric square of the Tate module of an elliptic curve. This is an application of our refinement of the Faltings-Serre method to 3-dimensional Galois representations with ground field not equal to Q. The proof makes use of the Faltings-Serre method, $\ell$-adic Lie algebra, and Burnside groups.
DOI
https://doi.org/10.7275/14966604
Recommended Citation
Duan, Lian, "Comparison of Three Dimensional Selfdual Representations by Faltings-Serre Method" (2019). Doctoral Dissertations. 1715.
https://doi.org/10.7275/14966604
https://scholarworks.umass.edu/dissertations_2/1715