Noncommutative Geometry Seminar

Date: February 8, 2024

Time: 3:00PM - 4:00PM

Location: ZOOM

Speaker: Zhicheng Han, University of Göttingen

Title: Spectra of Lie groups and application to L^2-invariants

Abstract: In this talk, I will explore the Laplace operator and Dirac operator on semisimple Lie groups. While the parallel problem on symmetric spaces has been well-studied in the last century, the corresponding problem is much less understood in general homogeneous spaces. We will examine the obstacles in extending existing techniques and discuss how some of them can be resolved in the case of group manifolds. Towards the end, we will see how the spectra data shall aid in computing certain topological L^2-invariants. ZOOM number: 99377691303