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Symplectic and Poisson geometry seminar

Event Type
Ceremony/Service
Sponsor
Department of Mathematics
Location
https://illinois.zoom.us/j/81927025233?pwd=c2FrZUVOV3YydFh4SngzdGorNWdmZz09
Date
Oct 30, 2023   3:00 pm  
Speaker
Daniel Alvarez (University of Toronto)
Contact
Florian Zeiser
Views
14

Title: On the integration of Lie bialgebroids

Abstract: Lie bialgebroids are important objects in Lie theory, providing a convenient language to describe Poisson actions of Poisson-Lie groups, dynamical r-matrices and generalized Kahler structures. Lie bialgebroids are known to be the infinitesimal counterparts of double symplectic groupoids. Under mild natural conditions, I will describe how to use multiplicative Courant algebroids and differential forms of shift two in the Bott-Shulman-Stasheff complex of a Lie groupoid to construct double symplectic groupoids in most cases of interest.

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