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BIMSA Lecture
The weak graded Lie 2-algebra of multiplicative forms on a quasi-poisson groupoid
The weak graded Lie 2-algebra of multiplicative forms on a quasi-poisson groupoid
Organizer
Speaker
Zhuo Chen
Time
Monday, April 29, 2024 4:00 PM - 5:00 PM
Venue
A3-2-303
Online
Zoom 928 682 9093
(BIMSA)
Abstract
We present a construction ofweak graded Lie 2-algebras associated with quasi-Poisson groupoids. We also establish a morphism between this weak graded Lie 2-algebra of multiplicative forms and the strict graded Lie 2-algebra of multiplicative multivector fields, allowing us to compare and relate different aspects of Lie 2-algebra theory within the context of quasi-Poisson geometry. As an infinitesimal analogy, we explicitly determine the associated weak graded Lie 2-algebra structure of IM forms along with differential forms on the base manifold for any quasi-Lie bialgebroid.