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SUMMARY:Antoine Song (Princeton)
DTSTART:20210615T160000Z
DTEND:20210615T170000Z
DTSTAMP:20260423T022619Z
UID:Geolis/47
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Geolis/47/">
 The essential minimal volume of manifolds</a>\nby Antoine Song (Princeton)
  as part of Geometria em Lisboa (IST)\n\n\nAbstract\nOne way to measure th
 e complexity of a smooth manifold M is to consider its minimal volume\, de
 noted by MinVol\, introduced by Gromov\, which is simply defined as the in
 fimum of the volume among metrics with sectional curvature between -1 and 
 1. I will introduce a variant of MinVol\, called the essential minimal vol
 ume\, defined as the infimum of the volume over a closure of the space of 
 metrics with sectional curvature between -1 and 1. I will discuss the main
  properties of this invariant\, and present estimates for negatively curve
 d manifolds\, Einstein 4-manifolds and most complex surfaces.\n
LOCATION:https://researchseminars.org/talk/Geolis/47/
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