자료유형 | 학위논문 |
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서명/저자사항 | Galois Representations and Modular Forms Mod 2. |
개인저자 | Cheng, Yun. |
단체저자명 | The University of Chicago. Mathematics. |
발행사항 | [S.l.]: The University of Chicago., 2019. |
발행사항 | Ann Arbor: ProQuest Dissertations & Theses, 2019. |
형태사항 | 36 p. |
기본자료 저록 | Dissertations Abstracts International 81-04B. Dissertation Abstract International |
ISBN | 9781088336359 |
학위논문주기 | Thesis (Ph.D.)--The University of Chicago, 2019. |
일반주기 |
Source: Dissertations Abstracts International, Volume: 81-04, Section: B.
Advisor: Emerton, Matt. |
이용제한사항 | This item must not be sold to any third party vendors.This item must not be added to any third party search indexes. |
요약 | In this paper, we study some behaviors of elliptic curves and modular forms mod 2. In particular, we prove the Hecke action on the Jacobian of a modular curve is Eisenstein mod 2, and we use the the representation arising from 2-torsion points of elliptic curves to prove the Watkin's conjecture for certain supersingular ellipitc curves, and give a converse result on the modular degree. |
일반주제명 | Mathematics. |
언어 | 영어 |
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