Quantitative K-theory and the higher index
发布人: 杨奔   发布时间: 2022-11-14   浏览次数: 10

*时间:2022年11月15日  10:00-11:00

*地点:Zoom 2706499978  密码 8FcvPn   参会链接:https://us06web.zoom.us/j/2706499978?pwd=T0trVHh2bGxMYng3ejJHRFNPWlpndz09

*主讲人:郭昊 助理教授(清华大学丘成桐数学中心

*主持人:王航 研究院

*讲座内容简介:

Following on from the previous talk, I will discuss how quantitative K-theory sheds light on the geometric significance of the index of elliptic operators by allowing one to refine the classical connection between uniform positive scalar curvature and vanishing higher index. I will also discuss the link with Gromov's band width conjecture. This is based on previous joint work with Zhizhang Xie and Guoliang Yu. 

*主讲人简介:

郭昊,2018年博士毕业于澳大利亚阿德莱德大学,后于美国Texas A&M大学和阿德莱德大学工作,目前是清华大学丘成桐数学中心的助理教授。在非交换几何中有出色的工作,多项成果发表在《Mathematische Annalen》,《Journal of Functional Analysis》等期刊。