Sylvain Lavau

My field of research includes singular foliations, Lie algebroids, and their ’higher’ counterparts such as Lie ∞-structures on graded manifolds. My interest lies in the understanding of singularities and singular foliation invariants with the help of higher structures. This algebraic approach is justified by the fact that singularities in foliation theory carry information that may not be caught by a pure geometric analysis. I am also interested in related problems involving Lie ∞-algebroids, such as homotopy categories, holonomy groupoids, gauging procedures in supergravity, and the BFV-BRST formalism in gauge theories.