Speaker：Hua Chen (Wuhan University)

Time：2025-5-9, 16:45

Location：Conference Room C503 at Administration Building at Haiyun Campus 

Abstract:

In this talk, we shall report for some recent results on an eigenvalue problem for self-adjoint Hormander operators on non-equiregular sub-Riemannian manifolds. Using the Rayleigh-Ritz formula and the sub-elliptic heat kernel estimates, we establish the upper bounds of eigenvalues which depend on the volume of subunit ball and the measure of the manifold. Under a certain condition, we obtain the explicit upper bounds of eigenvalues which have the polynomial growth in k with the optimal order related to the non-isotropic dimension of the manifold.