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An effective generalization of Liouville`s Theorem for projective varieties
时间  Datetime
2018-06-13 14:00 — 15:00 
地点  Venue
Middle Lecture Room
报告人  Speaker
Francois Ballay
单位  Affiliation
Beijing International Center for Mathematical Research (BICMR) Peking University. Beijing.
邀请人  Host
Mounir HAJLI
报告摘要  Abstract

The fundamental problem in Diophantine approximation is to know how closely an irrational number can be approximated by a rational number. I will describe how this question can be generalized to the case of closed points on a projective variety defined over a number field. In particular, I will present an effective Liouville type Theorem, which gives an explicit upper bound for the height of rational points that are close to a given algebraic point of the variety. The main result is an effective version of a recent Theorem of David McKinnon and Mike Roth, which highlights Diophantine properties of Seshadri constants.