Back to Algebraic Geometry Seminar: Fall 2022
Algebraic Geometry Seminar
Date: Tuesday, Oct 18, 2022
Time: 3:30PM - 4:30PM
Location: LCB 323
Yueqiao Wu
University of Michigan
Title |
A non-Archimedean characterization of local K-stability |
Abstract |
Log Fano cones are generalizations of cones over log Fano pairs, and have a local K-stability theory extending the one for log Fano pairs. In this talk, we aim to give a characterization for local K-stability from a non-Archimedean point of view, which will allow us to study general test configurations without putting strong singularity assumptions on them. As a consequence of this characterization, we will see that one direction of the YTD conjecture for log Fano cones, as shown earlier by Collins-Székelyhidi and Li, can be strengthened. |
Algebraic Geometry