Higher categorical aspects of Lie groupoids and algebroids

Meeting-ID: 994 2805 4844
For passcode contact Christian Kaiser (kaiser@mpim...).

We introduce higher-categorical generalizations of Lie groupoids and algebroids and discuss how the results of the previous talks in the series extend to this setting. For instance, any Lie ∞-groupoid has an associated Lie ∞-algebroid, and a Lie ∞-algebroid can be integrated to a Frechet Lie ∞-groupoid or a local Lie ∞-groupoid. We also discuss the Riemann-Hilbert correspondence between (homotopy coherent) modules of a Lie ∞-algebroid and representations of its integrating Lie ∞-groupoid.