Symplectic Dynamics/Geometry Seminar

Topic: Spectrum and abnormals in sub-Riemannian geometry: the 4D quasi-contact case

Speaker: Nikhil Savale

Affiliation: University of Cologne

Date & Time: Monday October 28th, 2019, 3:30pm - 4:30pm

Location: Simonyi Hall 101

Video: https://video.ias.edu/sympdyngeo/2019/1028-NikhilSavale

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.