An introduction to Néron-Tate heights.


Yen-Liang Kuan

10:30:00 - 11:30:00

103 , Mathematics Research Center Building (ori. New Math. Bldg.)

The Néron -Tate height (or canonical height) is a quadratic form on the Mordell-Weil group of rational points of an abelian variety defined over a global field. Néron defined the Néron -Tate height as a sum of local heights. Although the global Néron -Tate height is quadratic, the local heights are not quadratic. In this talk, we will introduce properties of the global canonical heights and local Néron heights. Moreover, we are also recalling the explicit formula of local Néron heights in the elliptic curve case.