BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Boundedness and moduli of K-stable Calabi--Yau fibrations over cur
 ves - Masafumi Hattori (Kyoto University)
DTSTART:20240514T104500Z
DTEND:20240514T114500Z
UID:TALK214348@talks.cam.ac.uk
DESCRIPTION:The characterization of K-stable varieties is well-studied whe
 n $K_X$ is ample or X is a Calabi-Yau or Fano variety. However\, K-stabili
 ty of Calabi-Yau fibrations (i.e.\, $K_X$ is relatively trivial) is not kn
 own much in algebraic geometry. We introduce uniform adiabatic K-stability
  (if $f\\colon (X\,H)\\to (B\,L)$ is a fibration of polarized varieties\, 
 which means that K-stability of $(X\,aH+L)$ for sufficiently small $a>0$).
 In this talk\, I would like to explain that uniform adiabatic K-stability 
 of a Calabi-Yau fibration over a curve is equivalent to K-stability of the
  base curve in some sense. Furthermore\, we construct separated moduli spa
 ces of polarized uniformly adiabatically K-stable Calabi-Yau fibrations ov
 er curves. This talk is based on a joint work with Kenta Hashizume.
LOCATION:Seminar Room 1\, Newton Institute
END:VEVENT
END:VCALENDAR