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The weak graded Lie 2-algebra of multiplicative forms on a quasi-poisson groupoid

组织者

胡创强

演讲者

陈酌

时间

2024年04月29日 16:00 至 17:00

地点

A3-2-303

线上

Zoom 928 682 9093 (BIMSA)

摘要

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.