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SUMMARY:L2-torsion of free-by-cyclic groups - Matt Clay (University of Ark
 ansas)
DTSTART:20170622T090000Z
DTEND:20170622T100000Z
UID:TALK73033@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:I will provide an upper bound on the L2-torsion of a free-by-c
 yclic group\, in terms of a relative train-track representative for the mo
 nodromy. This result shares features with a theorem of Luck-Schick computi
 ng the L2-torsion of the fundamental group of a 3-manifold that fibers ove
 r the circle in that it shows that the L2-torsion is determined by the exp
 onential dynamics of the monodromy. In light of the result of Luck-Schick\
 , a special case of this bound is analogous to the bound on the volume of 
 a 3-manifold that fibers over the circle with pseudo-Anosov monodromy by t
 he normalized entropy recently demonstrated by Kojima-McShane.
LOCATION:Seminar Room 1\, Newton Institute
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