Video library: Zhou Xiang Yu, Singular metrics on vector bundles and a criteria of Nakano spositivity

VIDEO LIBRARY


International Conference on Complex Analysis Dedicated to the Memory of Andrei Gonchar and Anatoliy Vitushkin November 20, 2023 11:00, Steklov Institute, conference hall, 9th floor

Singular metrics on vector bundles and a criteria of Nakano spositivity Zhou Xiang Yu Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences
https://youtu.be/rYfQdqrkC8w Abstract: First we'll recall some recent results on multiplier ideal sheaves and converse $L^2$ theory, including the solution of Demailly's strong openness conjecture on multiplier ideal sheaves (solved by Guan–Zhou) and converses of $L^2$ existence theorems and $L^2$ extensions (established by Deng-Ning–Wang–Zhou), then we'll explain some new results on multiplier submodule sheaves associated to singular hermitian metric on holomorphic vector bundles, including a criteria of holomorphic vector bundles being Nakano semipositivity and a solution of Lempert's problem on Nakano semipositivity. Language: English Website: https://zoom.us/j/98008001815?pwd=OG1rTVRFRzFpY3RhZmE4MXFwckxMUT09 ^* ID: 980 0800 1815; Password: 055016