The Ohsawa-Takegoshi $L^2$ extension theorem and variations of Bergman kernels

In complex analysis and geometry, $L^2$ methods are very important and widely used. Recent studies show that the $L^2$ theory and the variational theory are closely related. In particular, the (optimal) $L^2$ extension theorem can be proved by subharmonicity of variations of Bergman kernels and vice versa. In this talk, I will explain the background, results, and key ideas of the proof.

*Please contact Keita Mikami mailing address to get access to the Zoom meeting room.