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SUMMARY:Shifted contact structures on differentiable stacks
DTSTART:20231208T130000Z
DTEND:20231208T140000Z
DTSTAMP:20260611T031300Z
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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