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Seminar of the Department of Algebra
May 23, 2006, Moscow, Steklov Mathematical Institute, Room 540 (8 Gubkina)
 


Symmetric groups and Batalin–Vilkovisky geometry of Deligne–Mumford moduli spaces

S. A. Barannikov

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Abstract: I will discuss generalisation of Kontsevich noncommutative symplectic geometry arising naturally in the context of modular operads and its application to cohomology of Deligne–Mumford moduli spaces via the twisted modular operad which can be constructed from symmetric groups.

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