ICTP /SISSA Math Seminar on Kähler Geometry (Zoom Meeting) - Friday 30 April at 14:30 (Masafumi Hattori)

[ICTP Math Section]

ICTP /SISSA Math Seminar on Kähler Geometry


Friday 30 April, at 14:30, Central European Time



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Speaker: Masafumi Hattori (Kyoto University)


Title: A decomposition formula for J-stability and its applications


Abstract: J-stability plays an important role in K-stability and deeply 
related to the existence of a stationary solution of J-flow. Strikingly, 
G. Chen, Datar Pingali and J. Song proved Lejmi-Szekelyhidi conjecture, 
uniform J-stability and J-positivity are equivalent, by differential 
geometric arguments recently. However, this fact has not been proved in 
algebro-geometric way before. In this talk, I would like to explain a 
decomposition formula of non-Archimedean J-functional, the 
(n+1)-dimensional intersection number into n-dimensional intersection 
numbers and its applications to prove the conjecture for singular 
algebraic surfaces and to show that there exists a J-stable but not 
uniformly J-stable variety.
Based on arXiv:2103.04603