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Spectral correspondences for locally symmetric spaces
12 Nov
12. November 2019
Oberseminar Analysis und Theoretische Physik

Spectral correspondences for locally symmetric spaces

In this talk I will describe some relations between the spectral theories of the transfer operator of the geodesic flow and the Laplace-Beltrami operator on a locally symmetric space. Here the Laplace-Beltrami operator is viewed as the quantization of the geodesic flow. After surveying recent results on rank one Riemannian locally symmetric spaces, in particular hyperbolic spaces, I will turn to first results on suitable extensions of the questions for higher rank locally symmetric spaces. Here the focus will be on new results for joint spectra of Weyl chamber flows obtained by microlocal methods. Finally, I will explain some open problems as well as some speculations on possible solutions.

Speaker

Prof. Dr. Joachim Hilgert,
Universität Paderborn

Organiser

Institut für Analysis

Date

12. November 2019
15:00 o'clock - 17:00 o'clock

Public contact

Institut für Analysis

Location

Hauptgebäude
Building: 1101
Room: c311
Welfengarten 1
30167 Hannover
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