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SUMMARY:Shifted contact structures on differentiable stacks
DTSTART:20231208T130000Z
DTEND:20231208T140000Z
DTSTAMP:20241113T092600Z
UID:indico-event-10567@indico.math.cnrs.fr
DESCRIPTION:Speakers: Luca Vitagliano\n\nthe main aim of this talk is prop
osing a definition of +1-shifted contact structure on a differentiable sta
ck thus laying the foundations of +1-shifted contact geometry. As a side r
esult I will show that the kernel of a multiplicative 1-form on a Lie grou
poid (might not exist as a vector bundle of Lie groupoids but) it always e
xists as a vector bundle of differentiable stacks and it carries a stacky
version of the curvature of a distribution. Prequantum bundles over +1-shi
fted symplectic groupoids provide examples of +1-shifted contact structure
s. Time permitting\, I will also discuss 0-shifted contact structures whic
h\, in some aspects\, are surprisingly more complicated than +1-shifted on
es. This is joint work with A. Maglio and A. Tortorella.\n\nhttps://indico
.math.cnrs.fr/event/10567/
LOCATION:Fokko du Cloux (Bâtiment Braconnier)
URL:https://indico.math.cnrs.fr/event/10567/
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