海天学者系列报告
报告题目:Hermitian geometry on resolvent set
报告人:Rongwei Yang(杨容伟)
报告时间:2017年1月5日(星期四) 上午 9:00-10:00
2017年1月12日(星期四)上午 9:00-10:00
报告地点:创新园大厦A1101
校内联系人:杨义新 电话:84708351-8135
报告内容: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.
报告人简介:Rongwei Yang 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.
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