17 Dec 2025, 14:00 CET. Talk by Camilo Arias-Abad.
Abstract: The de-Rham map, that takes a differential form to a singular cochain by integration over chains, is not an algebra map. It should not be, since differential forms are commutative but singular cochains are not. However, the map induced in cohomology is an algebra map. The explanation for this fact is provided by Gugenheim’s A-infinty version of de Rham’s theorem, which is constructed using Chen’s theory of iterated integrals. The goal of this talk is to explain how this map is related to higher versions of the Riemann Hilbert correspondence and to the integration of representations up to homotopy. This talk is based on joint work with F. Schaetz.