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Seminar
FIELD Math:Topology
DATE December 11 (Wed), 2019
TIME 11:30-12:30
PLACE 1424
SPEAKER Morand, Kevin
HOST Liao, Hsuan-Yi
INSTITUTE Sogang University
TITLE [GS_M_Topo] M. Kontsevich’s graph complexes and universal structures on graded symplectic manifolds
ABSTRACT In the formulation of his celebrated Formality conjecture, M. Kontsevich introduced a universal version of the deformation theory for the Schouten algebra of polyvector fields on affine manifolds. This construction is reviewed and generalised to graded symplectic manifolds of arbitrary degree n ≥ 1. The corresponding graph model is given by the full Kontsevich graph complex fGCd where d=n+1 stands for the dimension of the associated AKSZ type σ-model. This generalisation is instrumental to classify universal structures on graded symplectic manifolds. We conclude by discussing the possible role played by this new deformation theory regarding the quantization problem for Courant algebroids and higher symplectic Lie-n algebroids.
FILE 686041576041466094_1.pdf
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