Topology Seminar

Wed., Mar. 10, 2021 1:00 p.m.

Location: Live Stream

Speaker: Don Stanley, University of Regina

Title: Commutative DG-algebras and rational homotopy theory

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

Abstract: Rational homotopy theory is modeled by the homotopy theory of (graded) commutative DG-algebras (CDGAs). We introduce the notion of rational equivalence of spaces, and then develop the theory of CDGAs. We start with some basic standard notation for CDGAs and then discuss equivalences and formality. We describe a number of examples of CDGAs and maps between them. Looking at the role of cofibrancy, we describe the difference between CDGAs and DGAs and finish with an example of a non-formal CDGA.