# Bruno Vallette: Higher Lie theory

**Time: **
Tue 2022-03-29 14.15 - 16.00

**Location: **
Institut Mittag-Leffler, Seminar Hall Kuskvillan and Zoom

**Video link: **
Meeting ID: 921 756 1880

**Participating: **
Bruno Vallette (Sorbonne University)

**Abstract:** This talk will survey the long-term research programme between Lie theory, deformation theory, and rational homotopy theory that originates in the works of Quillen, Deligne, and Sullivan. I will settle the integration theory of homotopy Lie algebras with algebraic infinity-groupoids that give rise to explicit higher Baker–Campbell–Hausdorff formulas. A direct application will provide us with a new form of rational homotopy theory which holds in a much more general context than the previous ones.

Joint work with Daniel Robert-Nicoud available at arXiv:2010.10485 .