H-type fibration of spheres over symmetric spaces and its sub-Riemannian

Title: H-type fibration of spheres over symmetric spaces and its sub-Riemannian geometry.

Speaker: Professor Genkai Zhang (Chalmers Univ. of Tech. and Gothenburg Univ., Sweden)

Abstract: The circle bundle of a line bundle over a Hermitian symmetric space and the 3-sphere bundle

over quaternionic symmetric spaces have a sub-Riemannian structure and the corresponding

curvature satisfies certain quadratic condition. We introduce a class of H-type fibrations over

symmetric spaces generalizing these sphere bundles and study their sub-Riemannian geometry

including heat kernel, Weyl type estimates for the eigenvalue of the sub-Laplacian.

Time: 10:00-10:50 am, April 21  (Saturday), 2018