On properness of K-moduli spaces and destabilizations of Fano varieties
Harold Blum (University of Utah)
Abstract: K-stability is an algebraic notion that detects when a smooth Fano variety admits a Kahler-Einstein metric. Recently, there has been significant progress on constructing moduli spaces of K-polystable Fano varieties using algebraic methods. One of the remaining open problems is to show that these moduli spaces are proper. In this talk, I will discuss work with Daniel Halpern-Leistner, Yuchen Liu, and Chenyang Xu, in which we reduce the properness of such K-moduli spaces to the existence of certain optimal destabilization of Fano varieties.
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 |