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DTSTART:20250330T030000
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DTSTAMP:20260424T143446Z
UID:648ae47526520395027844@ist.ac.at
DTSTART:20250327T130000
DTEND:20250327T150000
DESCRIPTION:Speaker: Livia Campo\nhosted by Tim Browning\nAbstract: The exi
 stence of Kaehler-Einstein metrics on Fano 3-folds can be determined by st
 udying lower bounds of stability thresholds. An effective way to verify su
 ch bounds is to construct flags of point-curve-surface inside the Fano 3-f
 olds. This approach was initiated by Abban-Zhuang\, and allows us to restr
 ict the computation of bounds for stability thresholds only on flags. We e
 mploy this machinery to prove K-stability of terminal quasi-smooth Fano 3-
 fold hypersurfaces. This is deeply intertwined with the geometry of the hy
 persurfaces: in fact\, birational rigidity and superrigidity play a crucia
 l role. The superrigid case had been attacked by Kim-Okada-Won. In this ta
 lk I will discuss the K-stability of strictly rigid Fano hypersurfaces via
  Abban-Zhuang Theory. This is a joint work with Takuzo Okada.
LOCATION:Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101
 )\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Livia Campo: K-stablity of Fano 3-fold hypersurfaces of index 1
URL:https://talks-calendar.ista.ac.at/events/5639
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