中科院数学与系统科学研究院
数学研究所
学术报告会
报告人： 加藤和也（Kazuya Kato, University of Chicago）
题 目：Height functions for motives, Hodge analogues, and Nevanlinna analogues
时 间：2017.09.27（星期三），16 :30-17:30
地 点：数学院南楼N913室
摘 要：
We compare height functions for
(1) points of an algebraic variety over a number field,
(2) motives over a number field,
(3) variations of Hodge structure with log degeneration on a projective smooth curve over the complex number field,
(4) horizontal maps from the complex plane C to a toroidal partial compactification of the period domain.
Usual Nevanlinna theory uses height functions for
(5) holomorphic maps f from C to a compactification of an agebraic variety V and considers how often the values of f lie outside V. Vojta compares (1) and (5). In (4), V is replaced by a period domain. The comparisons of (1)--(4) provide many new questions to study.
