# Topology Seminar

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Wed., Mar. 17, 2021 1:00 p.m.
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Location: Live Stream
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**Speaker: **Martin Frankland, University of Regina

**Title: **Polynomial differential forms and Sullivan's theorem

**Zoom:** https://uregina-ca.zoom.us/j/99127226830?pwd=bnFQR1R3UUdyWUxqSS9JMExMRlZwZz09

**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.