Diophantine approximation on projective varieties
主 题: Diophantine approximation on projective varieties
报告人: Dr. Fran?ois Ballay
时 间: 2018-04-18 10:00 - 2018-04-18 11:30
地 点: Room 29, Quan Zhai, BICMR
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.<\/span>