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SUMMARY:Bounded cohomology and combinatorial volume forms - Roberto Friger
 io (Università di Pisa)
DTSTART:20170619T103000Z
DTEND:20170619T113000Z
UID:TALK72985@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:<span>Co-authors: Federico Franceschini		(KIT Karlsruhe)\, MAr
 ia Beatrice Pozzetti		(University of Warwick)\, Alessandro Sisto		(ETH Zur
 ich)        <br></span><br>In this talk we describe a family of 3-dimensio
 nal combinatorial volume forms on non-abelian free groups. These forms def
 ine non-trivial classes in bounded cohomology\, and they may be exploited 
 to show that\, in degree 3\, the zero norm subspace of the bounded cohomol
 ogy of an acylindrically hyperbolic group is infinite dimensional.  <br><s
 pan><br>If time is left\, as another application of combinatorial volume f
 orms\, we provide a purely cohomological proof of a lower bound\, original
 ly due to Brock\, on the volume of the mapping torus of a cobounded pseudo
 -Anosov homeomorphism of a closed surface in terms of its Teichmuller tran
 slation distance.</span>
LOCATION:Seminar Room 1\, Newton Institute
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