Algebraic Geometry/ Number theory Seminar
- Event Type
- Seminar/Symposium
- Sponsor
- Christopher Dodd
- Location
- Gregory Hall room 205
- Date
- Nov 12, 2024 11:00 am
- Speaker
- Ziquan Zhuang
- Views
- 42
- Originating Calendar
- Algebraic Geometry Calendar
Title: Boundedness of singularities and discreteness of local volumes
Abstract: The local volume of a Kawamata log terminal (klt) singularity is an invariant that plays a central role in the local theory of K-stability. By the stable degeneration theorem, every klt singularity has a volume preserving degeneration to a K-semistable Fano cone singularity. I will talk about a joint work with Chenyang Xu on the boundedness of Fano cone singularities when the volume is bounded away from zero. This implies that local volumes only accumulate around zero in any given dimension.