报告人:安金鹏(北京大学)
报告题目:Weighted badly approximable vectors and winning sets
报告人简介:安金鹏,北京大学教授,优秀青年基金获得者。研究方向是群上的作用、度量丢番图逼近。在李群的子空间理论、群的刚性,尤其在度量丢番图逼近中的Schmidt猜测等方面做出了开创性的工作。在Duke Math. J., J. Differential Geom., J. Reine Angew. Math.等知名刊物上发表论文20余篇。
报告摘要:Motivated by a conjecture of Littlewood, W. Schmidt made a conjecture concerning weighted badly approximable vectors in the 1980s. Schmidt's conjecture was proved by Badziahin, Pollington and Velani in 2011. In this talk, we investigate Schmidt's conjecture and related problems from the viewpoint of winning sets for Schmidt's game.
报告时间:2016年11月7日上午10:30-11:30
报告地点:科技楼南楼702室