XXXIII Workshop on Geometric Methods in Physics | 29.06-5.07.2014 |

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## Alexander Voronov## The BV formalism for L_infty-algebras and quantum infty-groupsWe interpret the theory of L_infty-algebras using the BV formalism. We introduce r_infty matrices, which are solutions to the Maurer-Cartan equation in the exterior algebra of a dg Lie algebra or, more generally, an L_infty algebra. This equation generalizes the classical Yang-Baxter equation [r,r] = 0 in the exterior algebra of a Lie algebra. We show have such r_infty matrices give rise to triangular L_infty bialgebras and quantum infty-groups. This is a joint work with my graduate student Denis Bashkirov. |

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