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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).

<
br> In this talk I will explain how viewing higher
Hochschild homology of a finite wedge of circles
as a functor on the category of free groups provid
es a conceptual framework which allows powerful to
ols such as exponential functors and polynomial fu
nctors to be brought to bear. In particular\, this
allows the generalization of the results of Turch
in and Willwacher\; this gives rise to new linear
representations of Out(F_n) which do not factoriz
e 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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