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VERSION:2.0
PRODID:-//Memento EPFL//
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SUMMARY:F-rationality mod p implies rationality in mixed characteristic an
 d characteristic zero
DTSTART:20170920T153000
DTEND:20170920T163000
DTSTAMP:20260509T043042Z
UID:b6dcff03df672bbfefd051f63bffbc35fffd8d8854379aec1f372086
CATEGORIES:Conferences - Seminars
DESCRIPTION:Karl Schwede (University of Utah)\nIn her thesis\, Karen Smith
  showed that if a variety in characteristic zero had the property that its
  mod p reductions were F-rational for some p >> 0\, then R had rational si
 ngularities in characteristic zero.\n\nSuppose now that R is a local ring 
 in mixed characteristic.  Suppose that R/p has F-rational singularities f
 or some p.  We prove that R then has rational singularities in mixed char
 acteristic and hence any localization to characteristic 0 also has rationa
 l singularities.  We also will discuss various generalizations to this st
 atement.\n\nThis is joint work with Linquan Ma and uses recent advances in
  our understanding of singularities in mixed characteristic.
LOCATION:MA A1 10
STATUS:CONFIRMED
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