Degeneracy of integral points and integral solutions in Diophantine approximation
发布时间:2023年04月17日
浏览次数:2325
发布者: Biao Ma
主讲人: 肖正(BICMR)
活动时间: 从 2023-04-24 15:00 到 16:30
场地: 北京国际数学研究中心,全斋全29教室
Abstract: It is a fundamental question to ask the distribution of integral solutions to Diophantine equations, which leads to the study of the distribution of integral points on algebraic varieties. In this talk, I will give a brief introduction of the problem formulated under height machinery. We will then discuss two essential tools in Diophantine approximation: the celebrated Subspace Theorem and the filtration method, with various improved versions. Recent results on the approximations and degeneracy of integral points will be outlined as well. In the end, I will introduce the most recent result of keeping good approximations while dropping the restriction of being general position. Joint work with Huang and Levin.