TRINO-MATH SEMINAR - Wednesday 7 June, at 17:00 (Livia Campo) - Venue: ICTP Luigi Stasi seminar room, at 17:00

[ICTP Math Section]

_TRINO - MATH SEMINAR_

Wednesday 7 June, at 17:00 _/(please note unusual time)/_

Venue: ICTP - Luigi Stasi seminar room


Speaker: Livia Campo (KIAS - Korea Institute for Advanced Study)


Title: Flags on Fano 3-fold hypersurfaces


Abstract: The existence of Kaehler-Einstein metrics on Fano 3-folds can 
be determined by studying some positive numbers called stability 
thresholds. K-stability is ensured if appropriate bounds can be found 
for these thresholds. An effective way to verify such bounds is to 
construct flags of point-curve-surface inside the Fano 3-folds. This 
approach was initiated by Abban-Zhuang, and allows us to restrict the 
computation of bounds for stability thresholds only on flags. We employ 
this machinery to prove K-stability of terminal quasi-smooth Fano 3-fold 
hypersurfaces. Many of these varieties had been attacked by 
Kim-Okada-Won using log canonical thresholds. In this talk I will tackle 
the remaining Fano hypersurfaces via Abban-Zhuang Theory.

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Koutou Mabilo
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