Seminars & Colloquia Calendar
Openness of uniformly valuative stability of polarized varieties and applications
Yaxiong Liu - Tsinghua University
Location: Zoom
Date & time: Friday, 20 January 2023 at 9:30AM - 10:30AM
Title: Openness of uniformly valuative stability of polarized varieties and applications.
Abstract: In the study of K-stability, Fujita and Li proposed the valuative criterion of K-stability on Fano varieties, which has played an essential role of the algebraic theory of K-stability. Recently, Dervan-Legendre considered the valuative criterion of polarized varieties, which is a generalization of Fujita-Li criterion on Fano varieties. We will show that uniformly valuative stability is an open condition. We would like to study the valuative criterion for the Donaldson's J-equation. Motivated by the beta-invariant of Dervan-Legendre, we introduce a notion, the so-called valuative J-stability and prove that J-stability implies valuative J-stability.
Zoom Link: https://rutgers.zoom.us/j/95237234346?pwd=Z2xIRDVqemYrandpQ0p0aUxqQ2g5QT09
Meeting ID: 952 3723 4346
Password: 846718
