Degeneracy of integral points and integral solutions in Diophantine approximation
发布时间：2023年04月17日
浏览次数：2562
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.
