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Topology Seminar

Wed., Mar. 17, 2021 1:00 p.m.

Location: Live Stream

Speaker: Martin Frankland, University of Regina

Title: Polynomial differential forms and Sullivan's theorem


Abstract:   I will explain how (graded) commutative DG-algebras (CDGAs) model rational homotopy theory. The functors in both directions are: the PL de Rham complex of a simplicial set, and the spatial realization of a CDGA. I will describe the model structure on rational CDGAs, which is not available in positive characteristic. Then I will sketch why the two functors induce an equivalence of homotopy categories when restricted to simply-connected objects.