Video library: T. Ohsawa, Applications of the $L^2$ method to analytic families

VIDEO LIBRARY


International Conference on Complex Analysis dedicated to the memory of Andrei Gonchar and Anatoliy Vitushkin October 7, 2019 15:00, Moscow, Steklov Mathematical Institute of RAS, Conference hall, 9th floor

Applications of the $L^2$ method to analytic families T. Ohsawa Nagoya University, Graduate School of Mathematics
Abstract: An $L^2$ vanishing theorem on complete Kähler manifolds will be recalled. It is a tool of solving the d-bar equation with $L^2$ estimates. Then it will be applied to prove the local triviality of a family of $\mathbb{C}$ whose total space carries a complete Kähler metric.