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Academic reports of Haitian scholars

2016-12-18
 

 

Academic reports of Haitian scholars

Reporter: YANG Rongwei

Title: Hermitian geometry on resolvent set

Time: January 5, 2017 (Thursday) AM 9:00-10:00

            January 5, 2017 (Thursday) AM 9:00-10:00

Location: A1101#room, Innovation Park Building

Contact: YANG Yixin (tel: 84708351-8135)

Abstract: Spectral theory is a central ingredient in operator theory. But it is ineffective on quasi-nilpotent operator (whose spectrum is the single point 0). In a joint work with R. Douglas, new Hermitian metrics are defined on the resolvent set, and it is shown that the set of blow up rates of the metrics at 0 is a good measure of V's lattice of hyper-invariant subspaces. In addition, some familiar objects, such as eigenvector or inner function, can be rediscovered by this metric.

The brief introduction to the reporter: YANG Rongwei is a Professor of Mathematics at State University of New York at Albany, USA. His research interests include: multi-variable operator theory, several vomplex variables, Hermitian bundles, Kahler geometry on Stein domains, Chern-Weil homomorphism, cyclic cohomology.

                                                                                           

 

 School of Mathematical Sciences, Dalian University of Technology 

December 16, 2016