报告时间：2020年11月10日 上午10：00

报告地点：腾讯会议 （会议ID ：874 243 575）

报告摘要: We consider a subclass of the Cowen-Douglas class in which the problem of deciding whether two operators are similar becomes more manageable. A similarity criterion for Cowen-Douglas operators is known to be dependent on the trace of the curvatures of the corresponding eigenvector bundles. Unless the given eignvector bundle is a line bundle, the computation of the curvature, in general, is not so simple as one might hope. By using a structure theorem on Cowen-Douglas operators, we reduce the problem of finding the trace of the curvatures to looking at the curvatures of the associated line bundles. Several questions related to the similarity problem are also taken into account.

报告人简介：纪奎，河北师范大学数学科学学院教授、博士生导师、副院长。研究方向为算子理论与算子代数。2008年博士毕业于河北师范大学，博士学位论文被评为高等学校全国优秀博士学位论文。主持多项国家和省部级科研项目，包括国家自然科学基金优秀青年科学基金项目和河北省杰出青年基金项目。论文发表于Adv. Math., J.  Funct. Anal. 等重要刊物。