Speaker : Professor Liang-Chung Hsia (National Taiwan Normal University)
Title : On height pairings — a potential theoretical point of view
Time : 2020-07-22 (Wed) 13:30 - 15:00
Place : Seminar Room 722, Institute of Mathematics (NTU Campus)
Abstract: In this talk, we’ll start with Neron's height pairings for the Neron-Tate heights on abelian varieties and recall briefly the Arakelov-Zhang’s height pairing. Then we follow the work of Fave-Rivera-Letelier and Fili to discuss the pairings between heights associated to adelic measures on the projective line. If possible, we’ll also discuss applications of the pairings to problems in Arithmetic Dynamics in the work by DeMarco, Krieger and Ye.