Report Title：Pre-Lie and Post-Lie algebras in combinatorics and geometry

Reporter：Paul Laubie

Affiliation: Université de Lorraine

Report Time:April 16, 2026, 21:00-23:00

Report Location:Zoom Id: 904 645 6677，Password: 2026

Meeting://us06web.zoom.us/j/9046456677?pwd=CWu8WvANi9ohJh4OW91sTVqBM9zsOT.1&omn=86972689584

Abstract:

After a brief recollection on the algebraic structure on vector field of manifold, we will state the theorem of Joyal linking Lie algebras and partitions of finite sets. We will show how operads allow us to strengthen this link between combinatorics of posets and algebraic structures via Koszul duality. Finally, we will discuss applications of the combinatorial description of those algebraic structures.

Bio: 

Paul Laubie defended his PhD at the university of Strasbourg in May 2024 under the supervision of Vladimir Dotsenko, and he is currently a Post-doc at Université de Lorraine under the supervision of Yvain Bruned. His mathematical interest is at the intersection between homological (or homotopical) algebra and combinatorics with an emphasis on applications to other mathematical domains such as numerical analysis or stochastic differential equations.