Title: A-infinity algebras and the homotopy transfer theorem
Speaker: Dr. Micah Miller IISc
Date: 04 July 2013
Time: 3:00 - 4:00 p.m.
Venue: Lecture Hall III, Department of Mathematics
We will introduce the notion of a differential graded algebra that is not strictly associative, but associative up to chain homotopy. Such objects are called A-infinity algebras or strong homotopy associative algebras. The goal is to state and prove the Homotopy Transfer Theorem, which states that any chain complex that is chain homotopic to an A-infinity algebra has an A-infinity structure and the maps in the chain homotopy can be lifted to a map of A-infinity algebras.