Integration theory of Lie type algebras

par Prof. Bruno Vallette (Université Sorbonne Paris Nord)

vendredi 27 mars 2026, 15:00 → 16:30 Europe/Paris

Salle Olga Ladyjenskaïa (IHP - Bâtiment Borel)

I will survey the recent developments made in the integration theory with effective formulas of algebraic structures stronger or higher than Lie algebras. On the stronger side, one can integrate efficiently the pre-Lie algebras and admissible Lie algebras controlling the deformation theories of algebras over an operad and bialgebras over a properad respectively. On the higher side, I will describe how one can integration $L_\infty$-algebras into infinity-groupoids with closed formulas.