报告名称:Semiclassical isotropic functions and applications
主办单位:永利集团88304官网
报告专家:王作勤
专家所在单位:中国科学技术大学
报告时间:2020年12月9日11:00-13:00
报告地点:腾讯会议(会议ID:601 850 642)
专家简介:王作勤教授现为中国科学技术大学数学科学学院教授,主要研究Laplace型算子谱与背景空间的几何、分析、动力系统性质的关系,以及相关的半经典微局部分析工具,研究成果受到国内外同行专家的高度评价。
报告摘要:Rapidly oscillating functions associated with Lagrangian submanifolds play a fundamental role in semiclassical analysis. In this talk I will describe how to associate spaces of semiclassical oscillatory functions to isotropic submanifolds of phase space, and sketch their symbolic calculus. As a special case we obtain the semiclassical version of Hermite distributions of Boutet de Monvel and Guillemin. I will also discuss a couple applications of the theory. This is based on joint works with V. Guillemin (MIT) and A. Uribe (U. Michigan).
邀请人:毛井