Zu Chongzhi Center Mathematics Research Seminar

Date and Time (China standard time): Wednesday, November 23, 9:00-10:00 am

Zoom ID: 956 9339 6556

Passcode: dkumath

Title: Spectral analysis of Kohn Laplacian on Spherical Manifolds

Speaker: Yunus Zeytuncu

Bio: Prof. Zeytuncu is a Professor of Mathematics at the University of Michigan-Dearborn. He earned his Ph.D. at the Ohio State University in 2010 and served as a postdoc at Texas A&M before joining Dearborn in 2013. Prof. Zeytuncu works in several complex variables, complex geometry, and operator theory. He has over 40 publications and many of them have been published in prestigious journals such as Inventiones Mathematicae, Proceedings of the AMS, and Transactions of the AMS. Prof. Zeytuncu also coordinates multiple undergraduate research programs including Polymath Jr. and NSF REU Site in Mathematical Analysis and Applications.

Abstract: In this talk, we discuss the spectral analysis of Kohn Laplacian on spheres and the quotients of spheres. In particular, we obtain an analog of Weyl’s law for the Kohn Laplacian on lens spaces. We also show that two 3-dimensional lens spaces with fundamental groups of equal prime order are isospectral with respect to the Kohn Laplacian if and only if they are CR isometric.