Time：14:00-17:00, Thursday, March 20 2025
Venue: E4-201
Host：Jiyuan Han, ITS
Speaker：Minghao Miao, Nanjing University
Title：Canonical Heights, Periods and the Hurwitz Zeta Function
Abstract：In this talk, I will report the work of Andreasson-Berman on canonical heights of arithmetric log pair with relatively ample (or anti-ample) log canonical line bundle. Canonical heights is defined as the (Arekelov-theoretic) height metrized by the Kahler-Einstein metic on the complexification of infinite place. The main result of Andreasson-Berman's work is the canonical height can be expressed as a limit of periods on the N-fold products, as N tends to infinity. As a corollary, the canonical heights of certain arithmetic log surfaces can be computed explicitly in terms of the Hurwitz zeta function.
