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Spectra of Lie groups and L^2-invariants
09 Apr
09. April 2024
Oberseminar Analysis und Theoretische Physik

Spectra of Lie groups and L^2-invariants

In this talk, I will explore the Laplace operator and Dirac operator on semisimple and nilpotent 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.


Dr. Zhicheng Han, Riemann Center for Geometry and Physics, Leibniz Universität Hannover


Institut für Analysis


09. April 2024
15:00 Uhr - 17:00 Uhr


Geb.: 1101
Raum: C311
Welfengarten 1
30167 Hannover
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