Speaker: Xu Wang (Norwegian University of Science and Technology)
Time: 14:30-15:30, Apr 16, 2026
Venue: room 1329, Building 1 (Section A), New Campus of USTC Shanghai Institute for Advanced Studies & Tencent Meeting ID: 942 663 0176, no password
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
