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            Today is
            • Mathematics study
            Position: English > COMING EVENTS > COMING EVENTS > Content

            Academic reports of Haitian scholars



            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