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SUMMARY:Log liftability to characteristic zero of F-split surfaces
DTSTART:20210930T141500
DTEND:20210930T160000
DTSTAMP:20260929T010001Z
UID:a2068fe0b8bf65376c375bb66baf9890f83514652bec3d7c734aa984
CATEGORIES:Conferences - Seminars
DESCRIPTION:Fabio Bernasconi (EPFL)\nGiven a projective variety X over an 
 algebraically closed field of characteristic p>0\, it is an interesting q
 uestion to know whether it admits a lifting to characteristic zero.\nThis
  is false in general (the first examples have been constructed in the six
 ties)\, but understanding the possible obstructions or constructing new ex
 amples is still an active area of research. \n\nIn the first 30 minutes\
 , I will recall some of the previous results on liftability for smooth 
 projective varieties and I will try to build some intuition on lifting 
 to characteristic zero.\nIn the research part\, I will discuss a work in 
 progress with I. Brivio\, T. Kawakami and J. Witaszek\, where we show tha
 t globally F-split surfaces (which can be thought as arithmetically well-
 behaved log Calabi-Yau pairs) are log liftable to characteristic zero.\n
 As a corollary we deduce the Bogomolov bound on the number of singular 
 points of F-split klt del Pezzo surfaces (which was known to be false wit
 hout the $F$-splitness condition).
LOCATION:CM 1 113 https://plan.epfl.ch/?room==CM%201%20113
STATUS:CONFIRMED
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