Number Theory Seminar
- Event Type
- Seminar/Symposium
- Sponsor
- Department of Mathematics
- Location
- Gregory Hall 205
- Date
- Nov 12, 2024 11:00 - 11:50 am
- Speaker
- Ziquan Zhuang (Johns Hopkins)
- Contact
- Jesse Thorner and Yuan Liu
- jat9@illinois.edu and yyyliu@illinois.edu
- Views
- 50
- Originating Calendar
- Number Theory Seminar Calendar
This is an Algebraic Geometry Seminar talk.
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.