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NCTS Seminar on PDE and Analysis
 
11:10 - 12:00, January 12, 2016 (Tuesday)
Room 440, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 440室)
Beyond symplectic structures: an introduction to Poisson, quasi-Poisson and double Poisson structures
Yvette Kosmann-Schwarzbach (École Polytechnique)
Nan-Kuo Ho ( )

Structures more general than symplectic have been de_ned on various moduli spaces. Massuyeau and Turaev (IMRN, 2014) showed that the repre- sentation spaces of a surface with a base point on the boundary carry a bracket that induces a Poisson bracket on invariant functions. I shall recall the notion of Poisson manifolds and then introduce quasi-Poisson manifolds, as well as Poisson double brackets and quasi-Poisson double brackets on associative alge-bras, which are among the tools that Massuyeau and Turaev require for their construction.


 

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