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 .