Presented By: Department of Mathematics
Geometry Seminar
Spectrum and abnormals in sub-Riemannian geometry
We prove several relations between spectrum and dynamics including wave trace expansion, sharp/improved Weyl laws, propagation of singularities and quantum ergodicity for the sub-Riemannian (sR) Laplacian in the four dimensional quasi-contact case. A key role in all results is played by the presence of abnormal geodesics and represents the first such appearance of these in sub-Riemannian spectral geometry. Speaker(s): Nikhil Savale (Univ. of Cologne)
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