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SUMMARY:On the canonical bundle formula in positive characteristic
DTSTART:20231010T141500
DTEND:20231010T160000
DTSTAMP:20260610T054645Z
UID:b5bbb76ec6aef21272f133ed562c01da5680b08b85347e9390ff37c3
CATEGORIES:Conferences - Seminars
DESCRIPTION:Marta Benozzo (UCL)\nGROUPS\, ARITHMETIC AND ALGEBRAIC GEOMETR
 Y SEMINAR\n\nAn important problem in birational geometry is trying to rela
 te in a meaningful way the canonical bundles of the source and the base of
  a fibration. The first instance of such a formula is Kodaira’s canonica
 l bundle formula for surfaces which admit a fibration with elliptic fibres
 . It describes the relation between the canonical bundles in terms of the 
 singularities of the fibres and their j-invariants. In higher dimension\, 
 we do not have an equivalent of the j-invariant\, but we can still define 
 a moduli part. Over fields of characteristic 0\, positivity properties of 
 the moduli part have been studied using variations of Hodge structures. Re
 cently\, the problem has been approached with techniques from the minimal 
 model program. These methods can be used to prove a canonical bundle formu
 la result in positive characteristic. \n 
LOCATION:CM 1 113 https://plan.epfl.ch/?room==CM%201%20113
STATUS:CONFIRMED
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