Speaker : | Julie Tzu-Yueh Wang (Institute of Mathematics, Academia Sinica) |
Title : | Recent developments on Schmidt's subspace theorem |
Time : | 2020-03-18 (Wed) 10:30 - , 13:30 - |
Place : | Seminar Room 617, Institute of Mathematics (NTU Campus) |
Abstract: | It is a natural question to study how well or badly an algebraic number can be approximated by the rationals. The celebrated Roth’s theorem settles such a problem. Schmidt’s subspace theorem is a far-reaching extension of Roth’s theorem to approximating a system of linear forms with algebraic coefficients by rational/algebraic points in the affine n-space. It has been one of the main tools in the study of Diophantine approximation and Diophantine geometry. In this talk, we will give an introduction to its recent developments along the work of Corvaja-Zannier, Levin, Autissier, and Ru-Vojta (in chronological order). |