|Symplectic Dynamics/Geometry Seminar|
|Topic:||Spectrum and abnormals in sub-Riemannian geometry: the 4D quasi-contact case|
|Affiliation:||University of Cologne|
|Date:||Monday, October 28|
|Time/Room:||3:30pm - 4:30pm/Simonyi Hall 101|
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.