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Symplectic and Poisson Geometry Seminar: Linearization of Poisson groupoids

Event Type
Lecture
Sponsor
n/a
Location
347 Altgeld Hall
Date
Oct 4, 2021   3:00 pm  
Speaker
Wilmer Smilde (UIUC)
Contact
Joey Palmer
E-Mail
jpalmer5@illinois.edu
Views
23
Motivated by the search for Lie group structures on groups of Poisson diffeomorphisms, we investigate linearizability of the Poisson structure of a Poisson groupoid around the unit section, and present some results in that direction.
 
Our approach revolves around 'lifting' symplectic- and Poisson geometry to Lie algebroids: we will encounter an algebroid version of Weinstein's Lagrangian neighborhood theorem, and the integration of an algebroid-Poisson structure to an algebroid-symplectic groupoid.
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