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SUMMARY:Exposé d'Estanislao Herscovich (Grenoble): Double quasi-Poisson a
lgebras are pre-Calabi-Yau
DTSTART;VALUE=DATE-TIME:20210617T120000Z
DTEND;VALUE=DATE-TIME:20210617T130000Z
DTSTAMP;VALUE=DATE-TIME:20220814T040455Z
UID:indico-event-6666@indico.math.cnrs.fr
DESCRIPTION: \n\nDouble Poisson and double quasi-Poisson algebras were in
troduced by M. Van den Bergh in his study of noncommutative quasi-Poisson
geometry. Namely\, they satisfy the so-called Kontsevich-Rosenberg princip
le\, since the representation scheme of a double (quasi-)Poisson algebras
has a natural (quasi-)Poisson structure. On the other hand\, N. Iyudu and
M. Kontsevich found a link between double Poisson algebras and pre-Calabi-
Yau algebras\, a notion introduced by Kontsevich and Y. Vlassopoulos. The
aim of this talk will be to explain how such connection can be extended t
o double quasi-Poisson algebras\, which thus give rise to pre-Calabi-Yau a
lgebras. This pre-Calabi-Yau structure is however more involved in the cas
e of double quasi-Poisson algebras since\, in particular\, we get an infin
ite number of nonvanishing higher multiplications for the associated pre-C
alabi-Yau algebra\, which involve the Bernoulli numbers. \n\n \n\nThis i
s a joint work with D. Fernández from the Universität Bielefeld. \n\nht
tps://indico.math.cnrs.fr/event/6666/
LOCATION:https://webconf.lal.cloud.math.cnrs.fr/b/flo-k3r-y9a en ligne
URL:https://indico.math.cnrs.fr/event/6666/
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