代数学コロキウム

過去の記録 ~02/25次回の予定今後の予定 02/26~

開催情報 水曜日 17:00~18:00 数理科学研究科棟(駒場) 056号室
担当者 今井 直毅, 三枝 洋一

2013年06月12日(水)

17:30-18:30   数理科学研究科棟(駒場) 056号室
Xinyi Yuan 氏 (University of California, Berkeley)
Hodge index theorem for adelic line bundles (ENGLISH)
[ 講演概要 ]
The Hodge index theorem of Faltings and Hriljac asserts that the Neron-Tate height pairing on a projective curve over a number field is equal to certain intersection pairing in the setting of Arakelov geometry. In the talk, I will present an extension of the result to adelic line bundles on higher dimensional varieties over finitely generated fields. Then we will talk about its relation to the non-archimedean Calabi-Yau theorem and the its application to algebraic dynamics. This is a joint work with Shou-Wu Zhang.

(本講演は「東京北京パリ数論幾何セミナー」として、インターネットによる東大数理, Morningside Center of MathematicsとIHESの双方向同時中継で行います.)