Diophantine approximation on projective varieties
Time: 2018-04-15
Published By: Kangkang Deng
Speaker(s): Dr. François Ballay
Time: 10:00-11:30 April 18, 2018
Venue: 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.
