Fubini-Study metrics induced by Toeplitz operators
数学专题报告
报告题目(Title)：Fubini-Study metrics induced by Toeplitz operators
报告人(Speaker)：Prof. George Marinescu (德国科隆大学)
地点(Place)：后主楼1220
时间(Time)：2025年5月26日下午14:00-15:00
邀请人(Inviter)：汪志威
报告摘要
We generalize a well-known theorem of Tian by proving the convergence of the Fubini-Study metrics induced by Toeplitz-Kodaira maps. These maps are constructed using the action of a Toeplitz operator on the space of holomorphic sections of the powers of a positive line bundle. We also we present applications to the distribution of zeros of random holomorphic sections. These results were obtained in a joint work with Alexander Drewitz and Bingxiao Liu.
主讲人简介
Professor George Marinescu is a professor at the University of Cologne. He received his Ph.D. degree from Paris Diderot University (University of Paris 7), and worked as a postdoc at the University of Edinburgh, the Institut de Mathematiques de Jussieu, and the Humboldt University of Berlin. Before becoming a professor at the University of Cologne in 2006, he was an assistant researcher at the Humboldt University from 2000 to 2005. Professor Marinescu is a world-renowned expert in complex geometry, global analysis and spectral theory. He has published over 70 articles in journals such as Invent. Math., Ann. Sci. Ec. Norm. Super, JDG, Crelle, CMP, JFA, Adv. Math., JMPA, Math. Ann. He was awarded, jointly with Xiaonan Ma, the Ferran Sunyer i Balaguer Prize in 2006 for their book "'Holomorphic Morse inequalities and Bergman kernels", and he also received the Romanian Academy's 2012 Simion Stoilow Prize.
