On K-stability of cubic hypersurfaces
Yuchen Liu (Yale University)
Abstract: K-stability of Fano varieties is an algebro-geometric stability condition characterizing the existence of K\"ahler-Einstein metrics. Recent progress on K-stability suggests that it provides a good moduli theory for Fano varieties. In this talk, I will explain how K-moduli spaces can help us prove K-stability of smooth cubic hypersurfaces in dimension at most 4, using a local-to-global volume comparison result. Part of this talk is based on joint work with Chenyang Xu.
algebraic geometry
Audience: researchers in the topic
ZAG (Zoom Algebraic Geometry) seminar
Series comments: Description: ZAG seminar
The seminar takes place on Tuesdays and Thursdays via Zoom. Zoom passwords are given via mailing list on Fridays. To join the mailing list go to the website.
If you use a calendar system, you can see the individual seminars at bit.ly/zag-seminar-calendar
Times vary to accommodate speakers time zones but times will be announced in GMT time.
| Organizers: | Jesus Martinez Garcia*, Ivan Cheltsov*, Jungkai Chen, Jérémy Blanc, Ernesto Lupercio, Yuji Odaka, Zsolt Patakfalvi, Julius Ross, Cristiano Spotti, Chenyang Xu |
| *contact for this listing |