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. (arXiv:2103.04603)

ZOOM INFO

ID: 665 3050 5481

Password: 396878

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https://zoom.com.cn/j/66530505481?pwd=ZmJwLzRyeXFsTEg5OWNoR2sxQTI4UT09

BRIEF BIO 

Masafumi Hattori is a second-year postgraduate student in Kyoto University, working under the supervision of Professor Yuji Odaka. His research interests lie in birational geometry and K-stability. His recent work is on J-stability with an algebro-geometric approach.