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SUMMARY:Amenable open covers and simplicial volume of manifolds with bound
 ary - Pietro Capovilla\, SNS Pisa
DTSTART:20250124T134500Z
DTEND:20250124T144500Z
UID:TALK224407@talks.cam.ac.uk
CONTACT:Macarena Arenas
DESCRIPTION:Simplicial volume is a non-negative real number which is invar
 iant under homotopy equivalences between closed manifolds. It was introduc
 ed by Gromov as an obstruction on the possible geometries a given manifold
  can support. One of the strongest vanishing results for simplicial volume
  of closed manifolds is in presence of amenable open covers with small mul
 tiplicity. I will discuss some conditions under which this result can be e
 xtended to manifolds with boundary\, inspired by the recent work of Li\, L
 öh\, Moraschini and Raptis. To this end\, I will follow Gromov's original
  approach via the theory of multicomplexes\, whose foundations have been r
 ecently laid down by Frigerio and Moraschini.
LOCATION:MR13
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