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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Boundedness and moduli of K-stable Calabi--Yau fib
 rations over curves - Masafumi Hattori (Kyoto Univ
 ersity)
DTSTART;TZID=Europe/London:20240514T114500
DTEND;TZID=Europe/London:20240514T124500
UID:TALK214348AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/214348
DESCRIPTION:The characterization 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 Calabi-Y
 au fibrations (i.e.\, $K_X$ is relatively trivial)
  is not known much in algebraic geometry. We intro
 duce uniform adiabatic K-stability (if $f\\colon (
 X\,H)\\to (B\,L)$ is a fibration of polarized vari
 eties\, which means that K-stability of $(X\,aH+L)
 $ for sufficiently small $a>0$).In this talk\, I w
 ould like to explain that uniform adiabatic K-stab
 ility of a Calabi-Yau fibration over a curve is eq
 uivalent to K-stability of the base curve in some 
 sense. Furthermore\, we construct separated moduli
  spaces of polarized uniformly adiabatically K-sta
 ble Calabi-Yau fibrations over curves. This talk i
 s based on a joint work with Kenta Hashizume.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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