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SUMMARY:Coarse cohomology\, quasimorphisms and Poincaré duality in dimens
 ion 3 [MPIM]
DTSTART:20260507T113000Z
DTEND:20260507T130000Z
DTSTAMP:20260508T062600Z
UID:indico-event-1283@math-events.uni-bonn.de
DESCRIPTION:Speakers: Paula Heim (Oxford/MPIM Leipzig)\n\nOberseminar Diff
 erentialgeometrie\n Margolis recently introduced a framework for coarse ho
 mological invariants\, generalising group theoretic notions in a way that 
 captures the large-scale geometry of a space. Applied to a PD^3 group G ad
 mitting certain quasimorphisms\, it can be used to show that G must eithe
 r arise as the fundamental group of a torus bundle over S^1\, or it is fin
 itely presented with a coarse fibration structure that can be used to bui
 ld a manifold quasiisometric to G and\, in the hyperbolic case\, induce a 
 faithful circle action. In this talk we will give an introduction to Margo
 lis's coarse cohomology and explain how to use it to obtain the structural
  properties described above. This talk is based on joint work with Will Th
 omas.\n\nhttps://math-events.uni-bonn.de/event/1283/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/1283/
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