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Higher categorical aspects of Lie groupoids and algebroids

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Speaker: 
Bertram Arnold
Affiliation: 
MPIM
Date: 
Mon, 2021-11-08 10:15 - 11:45

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.

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