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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)

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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 .