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Seminar
FIELD Mathematics
DATE October 15 (Mon), 2018
TIME 16:00-17:00
PLACE 1424
SPEAKER Liao, Hsuan-Yi
HOST Choe, Jaigyoung
INSTITUTE KIAS
TITLE Formality theorem for differential graded manifolds
ABSTRACT

Kontsevich established a formality theorem and applied it to deformation quantization of Poisson manifolds. Following Kontsevich's method, we obtained a formality theorem for dg manifolds. As application, we extended Duflo theorem in Lie theory to the context of dg manifolds. In this talk, I'll start with an introduction to L-infinity algebras, Kontsevich formality theorem, and deformation quantization problem. After that, I plan to explain formality and Kontsevich-Dulfo theorem for dg manifolds.

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