Some aspects of L-infinity algebras in geometry, by K. Singh

in

18 Jul 2024, 11:00 CET. Talk by Karandeep Singh.

Abstract: L-infinity algebras were introduced by Lada and Stasheff in the 90s as strongly homotopy Lie algebras, and are a generalization of Lie algebras, where the structure equations are only required to hold up to coherent homotopy.

After giving the relevant definitions, I will give some examples of how they arise in deformation theory of geometric structures. If time permits, I will mention the relation with resolution of foliations.