報告人:安金鵬(北京大學)
報告題目:Weighted badly approximable vectors and winning sets
報告人簡介:安金鵬,北京大學教授,優秀青年基金獲得者。研究方向是群上的作用、度量丢番圖逼近。在李群的子空間理論、群的剛性,尤其在度量丢番圖逼近中的Schmidt猜測等方面做出了開創性的工作。在Duke Math. J., J. Differential Geom., J. Reine Angew. Math.等知名刊物上發表論文20餘篇。
報告摘要: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.
報告時間:2016年11月7日上午10:30-11:30
報告地點:科技樓南樓702室