Bonn Topology Group - Abstracts

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Talk

July 9th 2019
Joost Nuiten (Université de Montpellier, France): A van Est theorem in derived geometry

Abstract

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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