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UID:20251022T234357EDT-0176j3U98Z@132.216.98.100
DTSTAMP:20251023T034357Z
DESCRIPTION:Title: Hyperbolic volume and bounded cohomology.\n\nAbstract: 
 \n\nA natural notion of complexity for a closed manifold M is the smallest
  number of top dimensional simplices it takes to triangulate M. Gromov sho
 wed that a variant of this notion called simplicial volume gives a lower b
 ound for the volume of M with respect to any (normalized) Riemannian metri
 c. The heart of his proof factors through the dual notion of bounded cohom
 ology. I will define bounded cohomology of discrete groups illustrated by 
 some examples coming from computing the volumes of geodesic simplices in h
 yperbolic space. Although bounded cohomology is often an unwieldy object e
 vading computation\, we give some conditions for volume classes to be non-
 vanishing in low dimensions. We then ask\, 'When do higher dimensional vol
 ume classes vanish?'\n\n \n
DTSTART:20200219T200000Z
DTEND:20200219T210000Z
LOCATION:Room 1104\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:James Farre (Yale University) 
URL:/mathstat/channels/event/james-farre-yale-universi
 ty-320452
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