Number Theory Seminar

Seminar information archive ~11/01Next seminarFuture seminars 11/02~

Date, time & place Wednesday 17:00 - 18:00 117Room #117 (Graduate School of Math. Sci. Bldg.)
Organizer(s) Naoki Imai, Shane Kelly

2013/06/12

17:30-18:30   Room #056 (Graduate School of Math. Sci. Bldg.)
Xinyi Yuan (University of California, Berkeley)
Hodge index theorem for adelic line bundles (ENGLISH)
[ Abstract ]
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.