Quantitative K-theory and the higher index

Hao Guo   (Tsinghua University)

10:00-11:00, November 15, 2022   Zoom Meeting ID: 270 649 9978 (Passcode: 8FcvPn)




Abstract:

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.

About the speaker:

껣2018격ʿҵڰĴǰ´ѧTexas A&MѧͰ´ѧĿǰ廪ѧͩѧĵtenure trackڡڷǽгɫĹƪķڡMathematische Annalen, Journal of Functional Analysisڿ

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