K-Stability of Gorenstein Fano Group Compactifications with Rank Two
Time: 2022-04-20
Published By: Wenqiong Li
Speaker(s): Sungmin Yoo(IBS-Center for Complex Geometry)
Time: 09:00-10:00 April 27, 2022
Venue: Online
Abstract：
In this talk, We give a classification of Gorenstein Fano equivariant compactifications of complex semisimple Lie groups with rank two, and determine which of them are equivariant K-stable and admit (singular) Kähler-Einstein metrics. As a consequence, we obtain several explicit examples of K-stable Fano varieties admitting (singular) Kähler-Einstein metrics. We also compute the greatest Ricci lower bounds, equivalently the delta invariants for K-unstable varieties. This gives us three new examples on which each solution of the Kähler-Ricci flow is of type II. This is based on the joint work with Jae-Hyouk Lee and Kyeong-Dong Park.
Speaker:
Sungmin Yoo is currently a research fellow at IBS-Center for Complex Geometry in Korea. He received his Ph.D. in 2018 under the direction of Professor Kang-Tae Kim at POSTECH.
His research focuses on Complex Geometry and Several Complex Variables with special interest in Kähler geometry of Kähler-Einstein metric and Bergman metric.
Zoom:
Link: https://us02web.zoom.us/j/89249280436?pwd=RlVBSk0rMmdsb1hHWVprZC9OR3JkZz09
ID: 892 4928 0436
Password: 266443
In this talk, We give a classification of Gorenstein Fano equivariant compactifications of complex semisimple Lie groups with rank two, and determine which of them are equivariant K-stable and admit (singular) Kähler-Einstein metrics. As a consequence, we obtain several explicit examples of K-stable Fano varieties admitting (singular) Kähler-Einstein metrics. We also compute the greatest Ricci lower bounds, equivalently the delta invariants for K-unstable varieties. This gives us three new examples on which each solution of the Kähler-Ricci flow is of type II. This is based on the joint work with Jae-Hyouk Lee and Kyeong-Dong Park.
Speaker:
Sungmin Yoo is currently a research fellow at IBS-Center for Complex Geometry in Korea. He received his Ph.D. in 2018 under the direction of Professor Kang-Tae Kim at POSTECH.
His research focuses on Complex Geometry and Several Complex Variables with special interest in Kähler geometry of Kähler-Einstein metric and Bergman metric.
Zoom:
Link: https://us02web.zoom.us/j/89249280436?pwd=RlVBSk0rMmdsb1hHWVprZC9OR3JkZz09
ID: 892 4928 0436
Password: 266443
