Equivariant K-stability and valuative criteria

Abstract: Equivariant K-stability of Fano varieties is defined via equivariant test configurations. By definition it is weaker than usual K-stability. However, for Fano varieties with large symmetry, it is often easier to check equivariant K-stability. Valuative criterion is developed by Chi Li and Kento Fujita to characterize K-stability using valuations. In this talk, I will show that there is a parallel theory for equivariant K-stability by introducing pseudovaluations. As an application, I will discuss how it can be applied to study K-stability of Fano varieties under finite group action. The talk is partially based on joint work with Yuchen Liu.

algebraic geometryanalysis of PDEsalgebraic topologycomplex variablesdifferential geometrygeneral topologygeometric topologyK-theory and homologymetric geometrysymplectic geometry

Audience: researchers in the topic

CRM - Séminaire du CIRGET / Géométrie et Topologie

Series comments: Hybrid seminar of geometry and topology. Laboratory : CIRGET - www.cirget.uqam.ca The homepage of the seminar is www.cirget.uqam.ca/fr/seminaires.html

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The livestream is on Zoom at : uqam.zoom.us/j/98999725241 (no password is needed).

The recorded talks can be found at CIRGET channel : www.youtube.com/channel/UCLkFm-uEvXSf9y-iQtWOLWA