Quantum-Classical Correspondences for Locally Symmetric Spaces
Dynamical Systems
2024-01-31 v2 Representation Theory
Symplectic Geometry
Abstract
We review the status of a program, outlined and motivated in the introduction, for the study of correspondences between spectral invariants of partially hyperbolic flows on locally symmetric spaces and their quantizations. Further we formulate a number of concrete problems which may be viewed as possible further steps to be taken in order to complete the program.
Cite
@article{arxiv.2303.00578,
title = {Quantum-Classical Correspondences for Locally Symmetric Spaces},
author = {Joachim Hilgert},
journal= {arXiv preprint arXiv:2303.00578},
year = {2024}
}
Comments
Minor revisions and a new section on graphs. To appear in "Symmetry in Geometry and Analysis -- Festschrift for Toshiyuki Kobayashi''. M. Pevzner und H. Sekiguchi eds., Progress in Mathematics, Springer 2024