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| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| B64-10.pdf | 10.53 MB | Adobe PDF | 見る/開く |
| タイトル: | A new geometric construction of a family of Galois representations associated to modular forms: research announcement (Algebraic Number Theory and Related Topics 2014) |
| 著者: | Mihara, Tomoki |
| 著者名の別形: | 三原, 朋樹 |
| キーワード: | 11S23 11F11 14F05 p-adic family Galois representation modular form |
| 発行日: | May-2017 |
| 出版者: | Research Institute for Mathematical Sciences, Kyoto University |
| 誌名: | 数理解析研究所講究録別冊 |
| 巻: | B64 |
| 開始ページ: | 123 |
| 終了ページ: | 142 |
| 抄録: | This is a research announcement of the results in [Mih15]. For an odd prime p dividing an integer N ≥ 5, we define an inverse system of sheaves of torsion Zp-modules on a modular curve of level Γ1(N). The representation of Gal(Q/Q) associated to any cuspidal eigenform is obtained as a twist of a quotient of its cohomology. We construct a family of representations of Gal(Q/Q) associated to cuspidal eigenforms of finite bounded slope as a quotient of a twist of a scalar extension of its cohomology. |
| 記述: | "Algebraic Number Theory and Related Topics 2014". December 1～5, 2014. edited by Takeshi Tsuji, Hiroki Takahashi and Yuichiro Hoshi. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. |
| 著作権等: | © 2017 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved. |
| URI: | http://hdl.handle.net/2433/243666 |
| 出現コレクション: | B64 Algebraic Number Theory and Related Topics 2014 |
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