New developments in the anticyclotomic Iwasawa theory and special value formulas on L-functions
About this project
- Japan Grant Number
- JP22H00096
- Funding Program
- Grants-in-Aid for Scientific Research
- Funding organization
- Japan Society for the Promotion of Science
- Project/Area Number
- 22H00096
- Research Category
- Grant-in-Aid for Scientific Research (A)
- Allocation Type
-
- Single-year Grants
- Review Section / Research Field
-
- Medium-sized Section 11:Algebra, geometry, and related fields
- Research Institution
-
- Kyushu University
- Project Period (FY)
- 2022-04-01 〜 2027-03-31
- Project Status
- Granted
- Budget Amount*help
- 41,470,000 Yen (Direct Cost: 31,900,000 Yen Indirect Cost: 9,570,000 Yen)
Research Abstract
反円分拡大の岩澤理論は, 楕円曲線のBirch and Swinnerton-Dyer予想への応用など, 整数論に著しい成果をもたらしてきた. 近年研究代表者らは反円分拡大の岩澤理論に新しいアイデアを持ち込み, これまで扱えなかった様々な問題にアプローチする道を開いた. 本研究では, 国内外の研究者と協力する形でこの道を押し広げ, 様々な設定におけるL-関数の特殊値公式への応用をめざす.
