# Manchester Geometry Seminar 2011/2012

**Thursday 15 December 2011. ** *The Frank Adams Room (Room 1.212), the Alan Turing Building. 4.15pm*
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$L_\infty$-Algebras Governing Simultaneous Deformations via Derived Brackets

Yael Fregier (Université d'Artois)

`yael.fregier@gmail.com`

In this talk we will present a way to explicitly construct $L_\infty$ algebras governing deformation problems for which several structures are simultaneously deformed. The typical examples include simultaneous deformations of two algebras and a morphism between them, or, in a geometrical context, of Poisson manifolds and their coisotropic submanifolds. These results have applications for the problem of quantization of symmetries.

This is a joint work with Marco Zambon (Madrid), and is based on a derived brackets construction due to T. Voronov.