Trace of Curvature and Similarity of Cowen-Douglas Operators

Kui Ji  (Hebei Normal University)

14:00 pm -15:00 pm, November 25, 2016   Science Building A1510

Abstract:

In this talk, we will study quasi-homogeneous operators, which include the homogeneousoperators, in the Cowen-Douglas class..We give a theorems describing canonical models with respect invertible operators for these operatorsusing techniques from complex geometry. In the second, we will also study similarity characterization for Cowen-Douglas operators by consideringthe trace of the curvature of the eigenvector bundle.