佐賀大学
第208回応数談話会

日時

2012年11月13日（火曜日）16：30-17：30

講演者

宮坂 宥憲 氏（東北大学大学院理学研究科）

題目

Torsion points on Jacobian varieties and p-adic Sato theory

アブストラクト

The classical Sato theory describes solutions of complete integrable equations in terms of Sato tau-functions. Anderson developed a p-adic theory of Sato tau-functions and applied it to arithmetic problem about torsion points on Jacobian varieties. He proved that torsion points of certain prime orders are not on the theta divisor of the Jacobian variety of X, where X is a cyclic quotient of a Fermat curve of prime degree. In this talk, I will report a work with Takao Yamazaki about an analogous result when X is a hyperelliptic curve. Recently, Kobayashi and Yamazaki proved for more general curves. These proofs are based on the "p-adic Sato theory".

場所

数理科学科大セミナー室（理工学部6号館(DC棟)5階501号室）

連絡先

〒840-8502 佐賀市本庄町1 佐賀大学大学院工学系研究科数理科学専攻
市川　尚志 [[ichikawa＠]
TEL 0952-28-8530　 FAX 0952-28-8501