The Results of Thue-Siegel-Roth-Schmidt and Beyond
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：汝敏（美国休斯顿大学）
：2021-03-30 10:00
：腾讯会议APP（会议ID: 327 386 309 无设置密码）
报告人：汝敏（美国休斯顿大学）
时 间：3月30日上午10:00
地 点：腾讯会议APP（会议ID: 327 386 309 无设置密码）
内容摘要:
The Diophantine approximation is one of the important branches in number theory. The word Diophantine refers to the mathematician of the 3rd century, Diophantus of Alexandria, who was one of the first mathematicians to introduce symbolism into algebra. The Diophantine approximation deals with the approximation of algebraic numbers, which was measured by the approximation exponent d. Based on the earlier works of Thue-Siegel-Dyson, Klaus Roth in 1955 obtained the best result with exponent 2 which is in some sense the best possible. Roth was later awarded the Fields Medal because of this work. Later W. Schmidt extended Roth's work to several variables. Recently there have been some new and important developments in extending Schmidt's result, due to the works of Corvaja-Zannier, Evertse-Ferretti and Ru-Vojta. In this talk, I will discuss such developments, based on the recent paper (joint with Paul Vojta) published in Amer. J. Math., as well as a recent submitted manuscript with Vojta.
个人简介：
汝敏，美国数学会会士，休斯顿大学教授，博士生导师。1983年获得华东师范大学学士学位，1986年获得华东师范大学硕士学位，1990年获得美国圣母大学博士学位。1990-1992年，新加坡国立大学助理教授，1992-1995年，哈佛大学助理教授，1996.1-1996.6伯克利数学科学研究所研究员。1995-1997年，休斯顿大学助理教授。1997-2002年，休斯顿大学副教授。2002年至今，休斯顿大学教授。
汝敏教授在复分析、复几何、数论和微分几何，特别是在Nevanlinna理论与Diophantine逼近的关系做了十分出色的研究工作，在包括四大顶级数学期刊《Annals of Mathematics》和《Inventiones Mathematicae》等世界著名学术期刊上发表论文70余篇。汝敏教授还是美国国家自然科学基金项目和美国国家安全局数学项目主持者。担任 Houston Journal of Mathematics、Taiwanese Journal of Mathematics和Electronic Research Archive 多个杂志编委。
联系人：邱春晖、祝辉林
