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Euclidean Harmonic Analysis, Nilpotent Lie Groups and PDEs

Patterson-Sullivan Distributions and Pseudodifferential Calculus on Symmetric Spaces of Rank 1

speaker: Joachim Hilgert (Universität Paderborn)

abstract: Anantharam and Zelditch observed a remarkable connection between Wigner and Patterson-Sullivan distributions on compact hyperbolic surfaces. These are distributions associated with the eigenvalues of the Laplace-Beltrami operators and satisfy invariance properties under the geodesic flow. A key tool to establish this connection is a specific pseudodifferential calculus adapted to the symmetries of the situation. We reformulate these results in terms of group theory and generalize them to rank 1 symmetric spaces. This is joint work with M. Schroeder.

timetable:
Thu 18 Mar, 11:00 - 12:00, Aula Dini
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