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このアイテムのファイル:
| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| B83-01.pdf | 88.1 kB | Adobe PDF | 見る/開く |
| タイトル: | Hasse-Weil zeta functions of character varieties of hyperbolic 3-manifolds (Algebraic Number Theory and Related Topics 2017) |
| 著者: | Harada, Shinya |
| 著者名の別形: | 原田, 新也 |
| キーワード: | 57M27 57M05 11R42 Hyperbolic 3-manifold SL$_2$($mathbb{C}$)-character variety zeta function special value hyper-bolic volume |
| 発行日: | Oct-2020 |
| 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: | B83 |
| 開始ページ: | 3 |
| 終了ページ: | 10 |
| 抄録: | The SL2(C)-character variety of a 3-manifold plays an important role in the study of 3-dimensional topology, which is known to be an algebraic set over the rational number field. This is a survey of the study of SL2-character varieties over Q and their zeta functions. In particular, there is an explicit relationship between special values of zeta functions at s = 2 and hyperbolic volumes for closed arithmetic hyperbolic 3-manifolds. |
| 記述: | Algebraic Number Theory and Related Topics 2017. December 4-8, 2017. edited by Hiroshi Tsunogai, Takao Yamazaki and Yasushi Mizusawa. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. |
| 著作権等: | © 2020 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved. |
| URI: | http://hdl.handle.net/2433/260685 |
| 出現コレクション: | B83 Algebraic Number Theory and Related Topics 2017 |
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