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UID:20250804T151925EDT-1271matUOh@132.216.98.100
DTSTAMP:20250804T191925Z
DESCRIPTION:Bounded cohomology of transformation groups.\n\nLet MM be a clo
 sed Riemannian manifold and let μμ be the measure induced by the volume fo
 rm. Denote by Homeo0(M\,μ)Homeo0(M\,μ) the group of all μμ -preserving hom
 eomorphisms of MM isotopic to the identity. It is well-known that the seco
 nd bounded cohomology of Diff0(M\,μ)Diff0(M\,μ) is infinite-dimensional du
 e to existence of quasimorphisms on Diff0(M\,μ)Diff0(M\,μ) (Gambaudo-Ghys\
 , Polterovich). In this talk\, I will explain how to construct bounded cla
 sses in higher dimensions. As an application\, we will show that under cer
 tain conditions on the fundamental group of MM \, the third bounded cohomo
 logy of Diff0(M\,μ)Diff0(M\,μ) is infinite-dimensional. If time permits\, 
 I will discuss how this construction can be used to construct invariants o
 f foliated fibre bundles. It is a joint work with Michael Brandenbursky an
 d Martin Nitsche.\n
DTSTART:20200212T200000Z
DTEND:20200212T210000Z
LOCATION:Room 1104\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:Michał Marcinkowski (IMPAN)
URL:/mathstat/channels/event/michal-marcinkowski-impan
 -320252
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