报告人：王煦（挪威科技大学）
时间：2026年4月16日14:30-15:30
地点：上海研究院新园区1号楼A座1329&腾讯会议：942 663 0176，密码：202501
We obtain a general Ohsawa-Takegoshi extension theorem by using the Ross-Witt Nyström correspondence picture and Berndtsson's theorem in \cite{Bern20}. In the test configuration (ℂ∗-degeneration) case, our approach gives a quick proof of the Ohsawa-Takegoshi extension theorem without taking limit or using singular weight, which is very different from the Ohsawa-Chen-Blocki-Guan-Zhou approach and the Berndtsson-Lempert approach. Another advantage of our approach is that it fits better to the sharp estimate for the weighted Bergman kernel on compact manifold. Applications include a sharp lower bound of the Bergman kernel for compact Riemann surfaces and a non-vanishing theorem in terms of (weighted) Okounkov bodies.
For more information, please visit: https://vtmaths.github.io/imfp-igp-seminar/index.html
