April 17, 2023 to July 14, 2023
Institut Henri Poincaré, Paris
Europe/Paris timezone

Joost Nuiten : The Van Est isomorphism for higher stacks

Jul 5, 2023, 8:45 AM
Amphitheater Darboux (Institut Henri Poincaré, Paris)

Amphitheater Darboux

Institut Henri Poincaré, Paris

11, rue Pierre et Marie Curie 75005 Paris


A classical theorem of Van Est relates the differentiable cohomology of a Lie group to the cohomology of its Lie algebra. I will discuss a version of this result for homotopy-theoretic variants of Lie group(oid)s, such as the string group. This relates the derived category of representations of such a groupoid to the derived category of representations of its Lie algebroid. In particular, this relies on a version of Koszul duality for Lie algebroids.

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