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SUMMARY:On some generalizations of the category of Soergel bimodules
DTSTART;VALUE=DATE-TIME:20190117T133000Z
DTEND;VALUE=DATE-TIME:20190117T143000Z
DTSTAMP;VALUE=DATE-TIME:20190221T014829Z
UID:indico-event-8820@ictp.it
DESCRIPTION:\n Abstract: The category of Soergel bimodules plays an essent
ial role in (higher) representation theory and for the construction of hom
ological invariants in knot theory. The aim of this talk is to present a g
eneralization of Soergel category attached to a Coxeter group of type A_2.
While Soergel category counts a generating bimodule per simple reflection
\, this generalization is obtained by taking one generator per reflection.
I will give a complete description of this category through a classificat
ion of its indecomposable objects and study its split Grothendieck ring. T
his gives rise to an algebra which is a quotient of the corresponding affi
ne Hecke algebra of type A_2\, that can be presented by generators and rel
ations.This is joint work with Thomas Gobet.\n\nhttp://indico.ictp.it/even
t/8820/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://indico.ictp.it/event/8820/
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