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SUMMARY:Teppei Takamatsu (Kyoto University)
DTSTART:20250410T060000Z
DTEND:20250410T070000Z
DTSTAMP:20260423T022003Z
UID:CUHKNT/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CUHKNT/1/">O
 n quasi-Frobenius-split singularities</a>\nby Teppei Takamatsu (Kyoto Univ
 ersity) as part of CUHK Number Theory Online Seminar\n\n\nAbstract\nIn alg
 ebraic geometry of positive characteristic\, singularities defined by the 
 Frobenius map\, including the notion of Frobenius-splitting\, have played 
 a crucial role. \nYobuko recently introduced the notion of quasi-F-splitti
 ng and F-split heights\, which generalize and quantify the notion of Frobe
 nius-splitting\, and proved that F-split heights coincide with Artin-Mazur
  heights for Calabi-Yau varieties. This notion is defined for purely posit
 ive characteristic varieties\, but the ring of Witt vectors\, which is a m
 ixed characteristic object\, makes an essential role in the definition. \n
 \nIn this talk\, I present several criteria for quasi-F-splitting and thei
 r applications. This talk is based on joint research with T. Kawakami\, H.
  Tanaka\, J. Witaszek\, F. Yobuko\, and S. Yoshikawa.\n
LOCATION:https://researchseminars.org/talk/CUHKNT/1/
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