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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Higher Hochschild homology as a functor - Christi
ne Vespa (University of Strasbourg)
DTSTART;TZID=Europe/London:20181205T100000
DTEND;TZID=Europe/London:20181205T110000
UID:TALK115375AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/115375
DESCRIPTION:Higher Hochschild homology generalizes classical H
ochschild homology for rings. Recently\, Turchin a
nd Willwacher computed higher Hochschild homology
of a finite wedge of circles with coefficients in
the Loday functor associated to the ring of dual n
umbers over the rationals. In particular\, they ob
tained linear representations of the groups Out(F_
n) which do not factorize through GL(n\,Z).

**In this talk I will explain how viewing higher H
ochschild homology of a finite wedge of circles as
a functor on the category of free groups provides
a conceptual framework which allows powerful tool
s such as exponential functors and polynomial func
tors to be brought to bear. In particular\, this a
llows the generalization of the results of Turchin
and Willwacher\; this gives rise to new linear re
presentations of Out(F_n) which do not factorize
through GL(n\,Z). **

(This is joint work with
Geoffrey Powell.)
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:info@newton.ac.uk
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