Topology Seminar

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

Location: Live Stream

Speaker: Martin Frankland, University of Regina

Title: The derived category of a DG-algebra

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

Abstract: We will describe the derived category of a DG-algebra as a triangulated category. It arises as the homotopy category of a model structure on DG-modules. We will tackle the question: When do two DG-algebras have equivalent derived categories? In stark contrast to the case of rings, for DG-algebras, the derived category does not determine the homotopy theory of DG-modules.