2022年1月14日16:00 - 18:00 (JST)

• 細野 元気 (東北大学 大学院理学研究科 数学専攻)

• via Zoom

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.