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SUMMARY:Masafumi Hattori (Kyoto University)
DTSTART:20230922T150000Z
DTEND:20230922T161500Z
DTSTAMP:20260423T021409Z
UID:CIRGET/101
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CIRGET/101/"
 >K-stability of CY fibrations over curves</a>\nby Masafumi Hattori (Kyoto 
 University) as part of CRM - Séminaire du CIRGET / Géométrie et Topolog
 ie\n\nLecture held in PK-5115.\n\nAbstract\nIn K-stability\, the character
 ization of K-stable varieties is well-studied when $K_X$ is ample or X is 
 a Calabi-Yau or Fano variety. However\, K-stability of Fano fibrations or 
 Calabi-Yau fibrations (i.e.\, $K_X$ is relatively trivial) is not known mu
 ch in algebraic geometry. On the other hand\, cscK problems on fibrations 
 are studied by Fine\, Jian-Shi-Song and Dervan-Sektnan in Kahler geometry.
  We introduce adiabatic K-stability (If $f:(X\,H)\\to (B\,L)$ is a fibrati
 on of polarized varieties\, this means that K-stability of $(X\,aH+L)$ for
  sufficiently small a) and show that adiabatic K-semistability of Calabi-Y
 au fibration implies log-twisted K-semistability of the base variety by ap
 plying the canonical bundle formula and the result on J-stability. If the 
 base is a curve\, we also obtain a partial converse. In this talk\, I woul
 d like to explain our main results.\n
LOCATION:https://researchseminars.org/talk/CIRGET/101/
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