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Topology Seminar

Wed., Mar. 3, 2021 1:00 p.m.

Location: Live Stream

Speaker: Matthew Alexander, University of Regina

Title: A-infinity algebras and Kadeishvili's theorem

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

Abstract:  A-infinity algebras are introduced in the context of cochain complexes. Motivation for the defining equations of A-infinity algebras is provided before it is demonstrated that A-infinity algebras can be viewed as coderivations on a tensor coalgebra. Finally, a sketch of Kadeishvili's theorem is provided, showing that the cohomology of differential graded algebras admits an A-infinity algebra structure quasi-isomorphic to the DG-algebra.