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SUMMARY:Karl Schwede (University of Utah)
DTSTART:20210413T170000Z
DTEND:20210413T180000Z
DTSTAMP:20260423T035744Z
UID:ZAG/111
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ZAG/111/">Re
 cent progress in mixed characteristic higher dimensional algebraic geometr
 y</a>\nby Karl Schwede (University of Utah) as part of ZAG (Zoom Algebraic
  Geometry) seminar\n\n\nAbstract\nIn characteristic zero birational algebr
 aic geometry\, Kawamata-Viehweg vanishing is a centrally important tool.  
 For some applications in characteristic p > 0\, one may use Frobenius and 
 perturbations as a replacement for resolution of singularities and Kawamat
 a-Viehweg vanishing.  This talk will show how to use Bhatt's vanishing the
 orem for absolute integral closures mixed characteristic as a replacement 
 for resolutions and Kawamata-Viehweg vanishing theorems in a number of app
 lications.  This is joint work with B. Bhatt\, L. Ma\, Z. Patakfalvi\, K. 
 Tucker\, J. Waldron and J. Witaszek.\n
LOCATION:https://researchseminars.org/talk/ZAG/111/
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