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代数的サイクル、エンドスコーピー、BSD予想

Research Project

Project/Area Number 23KF0220
Research Category

Grant-in-Aid for JSPS Fellows

Allocation TypeMulti-year Fund
Section外国
Review Section Basic Section 11010:Algebra-related
Research InstitutionTokyo Institute of Technology

Principal Investigator

落合 理  東京工業大学, 理学院, 教授 (90372606)

Co-Investigator(Kenkyū-buntansha) CAUCHI ANTONIO  東京工業大学, 理学院, 外国人特別研究員
Project Period (FY) 2023-11-15 – 2026-03-31
Project Status Granted (Fiscal Year 2023)
Budget Amount *help
¥1,800,000 (Direct Cost: ¥1,800,000)
Fiscal Year 2025: ¥400,000 (Direct Cost: ¥400,000)
Fiscal Year 2024: ¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 2023: ¥400,000 (Direct Cost: ¥400,000)
Outline of Research at the Start

Diophantine problems for elliptic curves are related to the Fermat’s last theorem, the abc conjecture, and the cryptography related to internet security. Our project is an important application of the p-adic theory of automorphic representations and the related geometry of Shimura variety.

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Published: 2023-11-17   Modified: 2024-02-06  

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