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SUMMARY:Shunsuke Takagi (University of Tokyo)
DTSTART:20200922T120000Z
DTEND:20200922T130000Z
DTSTAMP:20260423T020954Z
UID:VCAS/23
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VCAS/23/">$F
 $-singularities and singularities in birational geometry - Part 1</a>\nby 
 Shunsuke Takagi (University of Tokyo) as part of IIT Bombay Virtual Commut
 ative Algebra Seminar\n\n\nAbstract\n$F$-singularities are singularities i
 n positive characteristic defined using the Frobenius map and there are fo
 ur basic classes of $F$-singularities: $F$-regular\, $F$-pure\, $F$-ration
 al and $F$-injective singularities. They conjecturally correspond via redu
 ction modulo $p$ to singularities appearing in complex birational geometry
 . In the first talk\,  I will survey basic properties of $F$-singularities
 . In the second talk\, I will explain what is known and what is not known 
 about the correspondence of $F$-singularities and singularities in biratio
 nal geometry. If the time permits\, I will also discuss its geometric appl
 ications.\n
LOCATION:https://researchseminars.org/talk/VCAS/23/
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