Theodore Voronov (University of Manchester)
theodore.voronov@manchester.ac.uk
Based on a work in progress. `Higher derived brackets' appear in many examples in geometry and mathematical physics. I will explain how they naturally arise when one wants to turn the inclusion map of a subalgebra in a differential Lie superalgebra admitting a complementary subalgebra, into a fibration (by a cocylinder construction, a familiar topologists' trick). In the case of a non-Abelian complementary subalgebra, this leads to a generalization of L∞ algebras with dropped or weakened (anti)symmetry of the brackets.